which statement is true about this equation

Answers

Answer 1

The equation represents a linear function.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.

The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.

If the discriminant is positive, then the equation has two distinct real roots.

If the discriminant is zero, then the equation has one real root (also known as a double root).

If the discriminant is negative, then the equation has two complex roots (conjugate pairs).

In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:

b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4

Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.

To know more about quadratic equation visit:

https://brainly.com/question/1214333

#SPJ1

Related Questions

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?

Answers

The correct statements for the given probability are-

A) There is a 1/2 chance of drawing the black card.B) 1/4, you'll draw the diamond.D) The compound event's probability is 1/8.Explain about the deck of cards:

The following are the key concepts for probability problems to understand:

A deck of cards contains 52 cards in total.There are 13 different card ranks. These ranks include of jack, queen, king, and aces as well as the digits 2 through 10. The ranking is described as being "ace high."Hearts, diamonds, spades, and clubs are the four suits. There are therefore 13 clubs, 13 spades, 13 diamonds, and 13 hearts.Red text is used to print the diamonds and hearts. Black ink is used to print the spades and clubs. Hence, there are 26 red and 26 black cards.

Given condition:

Your initial draw is a black card from a regular deck of cards.You switch out the card, and a diamond is drawn on the second draw.

Total number of card in deck = 52

Total black cards = 26

Total diamonds = 13

So,

probability ( black card ) = total black card / total cards

probability ( black card ) = 26 /52

probability ( black card ) = 1/2

probability (diamond ) = total number of diamond cards / total cards

probability (diamond ) = 13/ 52

probability (diamond ) = 1/4

probability (compound event) = probability (black and diamond)

probability (compound event) = 1/2 * 1/4

probability (compound event) = 1/8

Thus, The correct statements for the given probability are-

A) There is a 1/2 chance of drawing the black card.B) 1/4, you'll draw the diamond.D) The compound event's probability is 1/8.

Know more about the deck of cards:

https://brainly.com/question/28043513

#SPJ1

Complete question:

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?

A) The probability of drawing the black card is 1/2

B) The probability of drawing the diamond is 1/4

C)The probability of the compound event is 1/6

D) The probability of the compound event is 1/8

E) The probability of the compound event is 3/4

You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?Give explanation

Answers

Answer:

To find out how many gallons of paint are needed to cover the walls, we need to first find the total area of the walls.

The four walls are rectangles with a length of 20 feet and a height of 12 feet. So, the area of one wall is:

20 feet x 12 feet = 240 square feet

Since there are four walls, the total area of the walls is:

4 x 240 square feet = 960 square feet

We know that one gallon of paint can cover approximately 320 square feet. To find how many gallons of paint are needed, we can divide the total area of the walls by the area covered by one gallon of paint:

960 square feet ÷ 320 square feet per gallon = 3 gallons of paint

Therefore, you need approximately 3 gallons of paint to cover the walls.

The creator of two apps records the number of downloads over time a. From Week 6 to Week 8, which app has a greater average rate of change b. WHich app will eventually have a greater number of downloads? Explain.

Answers

To determine which app has a greater average rate of change from Week 6 to Week 8, we would need more information about the number of downloads for both apps during those weeks. Without that information, it is impossible to determine which app has a greater average rate of change.

Regarding which app will eventually have a greater number of downloads, that depends on a variety of factors, such as the popularity of each app, marketing efforts, and user engagement. It is also possible that both apps will see a similar number of downloads over time. Without additional information, it is difficult to make an accurate prediction.

Find the value of x and y in each triangle

Answers

Answer:

x=4 y=3

Step-by-step explanation:

because y=3 and x=4

5. 5 boys and 5 girls sit in a row in a random order (each order is equally likely). what is the probability that no two people of the same sex sit next to each other?

Answers

the probability that no two people of the same sex sit next to each other is 2/7.

One way to solve this problem is to use the principle of inclusion-exclusion. Let A be the event that the boys sit next to each other, and let B be the event that the girls sit next to each other. Then, we want to find the probability of the complement of (A or B), which is the probability that neither A nor B occurs.

The probability of A occurring is the same as the probability of the 5 boys sitting in a row, which is 5! (since each order is equally likely). Similarly, the probability of B occurring is 5!. However, we need to subtract the probability of A and B occurring simultaneously. This can be seen as follows: once the boys are seated in a row, there are 6 spaces (between or on the ends) where the girls can be seated. Thus, the probability of A and B occurring is 2*5!*6.

Therefore, the probability of neither A nor B occurring (i.e., the probability that no two people of the same sex sit next to each other) is:

P(neither A nor B) = 1 - P(A or B) = 1 - [P(A) + P(B) - P(A and B)]

= 1 - [(25!) / 10! - (25!6) / 10!]

= 1 - [25!*(1 - 6/9!)]

= 2/7

To learn more about probability visit:

brainly.com/question/30034780

#SPJ11

A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.

Ice Cream Candy Cake Pie Cookies
81 9 72 36 27

Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.

Question 14

A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.

Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44

Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44

Question 15

The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.

Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16

Answers

13) The best prediction is that the college will need about 480 cookies.

14) The correct answer is Bus 47, with a median of 16.

Solution to the aforementioned question

For Question 13:

The total number of students surveyed is 225. Out of these, 27 students prefer cookies. So, we can estimate that approximately (27/225) * 4000 = 480 students will prefer cookies.

Therefore, the best prediction is that the college will need about 480 cookies.

For Question 14:

The correct graph for displaying the data is a bar graph with the title "Favorite Sport" and the x-axis labeled "Sport" and the y-axis labeled "Number of Students". The first bar should be labeled "Basketball" and go to a value of 17, the second bar should be labeled "Baseball" and go to a value of 12, the third bar should be labeled "Soccer" and go to a value of 27, and the fourth bar should be labeled "Tennis" and go to a value of 44.

For Question 15:

We can see that the median for Bus 18 is (10+12)/2 = 11 and the median for Bus 47 is (16+16)/2 = 16. Therefore, Bus 47 typically has the faster travel time.

The correct answer is Bus 47, with a median of 16.

Learn more about median at https://brainly.com/question/16408033

#SPJ1

Need help on the last two as well this math is hard for me to understand

Answers

Answer
#4 = 153.9
#5 = 452.3

Area of a circle = Pi x radius squared

#4 Given radius of 7

Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86
Round to nearest tenth
Area = 153.9

#5 Given radius of 12

Area = 3.14 x 12^2
Area = 3.14 x 144
Area = 452.26
Round to nearest tenth
Area = 452.3

HELP IS VERY MUCH APPRECIATED PLS just tell me what box and number belongs where pls

Answers

The area of figures are calculated a follows:

1. 78.5 m² 2. 66.5 m² 3. 35 m² 4. 153.86 m² 5. 70 m²

How to Find the Area of the Figures?

1. The area of the circle = πr²

= 3.14 * 5²

= 78.5 m²

2. The figure is a trapezoid, therefore:

Area of the trapezoid = 1/2 * (a + b) * h

= 7(5 + 14)/2

= 66.5 m²

3. Area of triangle = 1/2 * base * height = 1/2 * 14 * 5 = 35 m²

4. The area of the circle = πr²

= 3.14 * 7²

= 153.86 m²

5. Area of parallelogram = base * height = 14 * 5 = 70 m²

Learn more about the area of figures on:

https://brainly.com/question/30721292

#SPJ1

Help, please, is for today.

Answers

Answer:

Measure of angle 2= 62 degrees

Step by Step:

The ratio of the angles is 1:2

So you add 1+2=3

Then divide 102/3, which equals 34

Finally multiply 34*2 to get 68

identify a syntax that sets the data type of the registerdate field to ""date"".

Answers

To set the data type of the registerdate field to "date", the syntax would depend on the programming language or database management system being used. However, here are some examples:

In SQL, the syntax would be:

ALTER TABLE tablename MODIFY COLUMN registerdate DATE;

This statement modifies the registerdate column in the tablename table to have a data type of DATE.

In PHP, the syntax for creating a table with a register date column of data type DATE would be:

CREATE TABLE tablename (

...,

registerdate DATE,

...

);

This creates a table called tablename with a column called registerdate of data type DATE.

In Python using SQLAlchemy, the syntax for defining a registerdate column of data type Date in a declarative base would be:

from sqlalchemy import Column, Date

class MyTable(Base):

__tablename__ = 'mytable'

registerdate = Column(Date)

This creates a MyTable class with a column called registerdate of data type Date.

Learn more about programming language

https://brainly.com/question/23959041

#SPJ4

To set the data type of the registerdate field to "date", the syntax would depend on the specific programming language or database system being used. However, a common syntax to set the data type to "date" is:
registerdate DATE;
This syntax would typically be used in the creation of a table or the declaration of a variable in a programming language that supports date data types.

To identify a syntax that sets the data type of the 'registerdate' field to "date", you can use the following SQL statement:

```sql
CREATE TABLE your_table_name (
registerdate DATE
);
```

Here's a step-by-step explanation of the syntax:
1. "CREATE TABLE" is the command to create a new table in the database.
2. "your_table_name" should be replaced with the desired name for your table.
3. Within the parentheses, you define the columns and their data types.
4. "registerdate" is the name of the field that you want to set the data type for.
5. "DATE" is the data type you are setting for the 'registerdate' field.

Learn more about syntax here: brainly.com/question/28182020

#SPJ11

Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 14 boxes. It is reasonable to assume that the population is approximately normal. 14.07 13.99 14.16 14.17 14.15 14.11 14.24 13.99 14.14 14.13 14.20 14.21 14.06 14.05 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.9% confidence interval for the mean weight. Round the answers to at least three decimal places. A 99.9% confidence interval for the mean weight is <<μ.

Answers

The 99.9% confidence interval for the mean weight is (14.042, 14.202).

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To construct a 99.9% confidence interval for the mean weight, we can use the formula:

CI = X ± Zα/2 * (σ/√n)

where X is the sample mean, Zα/2 is the critical value from the standard normal distribution corresponding to a 99.9% confidence level (which is 3.291), σ is the population standard deviation (which we don't know, so we will use the sample standard deviation as an estimate), and n is the sample size.

First, we need to calculate the sample mean and sample standard deviation:

X = (14.07 + 13.99 + 14.16 + 14.17 + 14.15 + 14.11 + 14.24 + 13.99 + 14.14 + 14.13 + 14.20 + 14.21 + 14.06 + 14.05) / 14 = 14.122

s = sqrt((1/(n-1)) * ∑(xᵢ - X)²) = 0.072

where n is the sample size and ∑(xᵢ - X)² is the sum of squared deviations from the sample mean.

Plugging in the values, we get:

CI = 14.122 ± 3.291 * (0.072/√14) = (14.042, 14.202)

Therefore, the 99.9% confidence interval for the mean weight is (14.042, 14.202).

To learn more about statistics from the given link:

https://brainly.com/question/28053564

#SPJ4

You decide that you need help painting your house so you hire the Color My World Painting Company. Before they can paint your house, they need to know how many square feet needs painting so they can be sure ti purchase enough paint. What is the Independent Variable and what is the Dependent Variable?

Answers

the amount of paint required is dependent on the size of the area that needs to be painted.

what is variables ?

In an equation or algebraic expression, an uncertain amount is denoted by a symbol in algebra, which is often a letter. A variable is, in the simplest terms, a quantity that can change and is not fixed. The two primary categories of variables are categorical and numerical. Then, for both categorical and numerical variables, discrete or continuous subcategories are created for each category. In this section, a summary of several categories is provided. a measure that can take many different forms. Something that can alter; the sign of a variable; a variable in a scientific experiment.

Because it is the variable which the homeowner may alter or control, the area of the house that needs to be painted in this scenario is the independent variable. Because it depends on the portion of the home that needs to be painted, the overall quantity of paints that need to be obtained is a variable that is dependent. To put it a different way, the amount of paint required depends on the size of the area that needs to be painted.

To know more about variables visit :-

https://brainly.com/question/2466865

#SPJ1

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

Which sums prove that the boards will create a triangular outline for the garden? Select all that apply.
5 + 2.5 > 4
5 + 2.5 < 4
4 + 2.5 > 5
4 + 2.5 < 5
4 + 5 > 2.5

Answers

The sums that prove that the wooden boards can create a triangular outline according to triangle inequality rule are:

5 + 2.5 > 4,5 + 4 > 2.5,2.5 + 4 > 5.

Which sums prove that wooden boards?

The triangle inequality rule states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Testing each combination of sides, we get:

Case 1:

Let 5 feet be the third side

Then,

2.5 + 4 > 5

6.5 > 5

Case 2:

Let 2.5 feet be the third side

Then,

4 + 5 > 2.5

9 > 2.5

Case 3:

Let 4 feet be the third side

Then,

5 + 2.5 > 4

7.5 > 4

Answers

Your answer is option b)

The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.

Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes

Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours

Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)

Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.

Learn more about Aldebaran from : brainly.com/question/26969989

#SPJ11

PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST

Answers

Answer: The formula for the volume of a cone is V=1/3hπr²

Step-by-step explanation: The volume or capacity of a cone is one-third of its corresponding cylinder. This means that when a cone and a cylinder have the same base dimension and height, the volume of the cone is one-third of the volume of the cylinder.

A line passes through the points (−4, 50) and (5, −31). What is the equation of the line in slope-intercept form?

Answers

Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = [tex]\frac{-31-50}{5-(-4)}[/tex] = [tex]\frac{-81}{5+4}[/tex] = [tex]\frac{-81}{9}[/tex] = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Help due tonight!!!!

Answers

Answer: 6(x - (23/2))² = 14x + 1044

Step-by-step explanation:

First, we need to move all the terms to one side of the equation:

6x² - 46x - 312 - 14x = 0

Next, we need to factor out the coefficient of the x² term:

6(x² - (46/6)x) - 312 - 14x = 0

Simplifying:

6(x² - 23x) - 312 - 14x = 0

To complete the square, we need to add and subtract the square of half the coefficient of the x-term inside the parentheses:

6[(x - (23/2))² - (23/2)²] - 312 - 14x = 0

Simplifying:

6(x - (23/2))² - 6(23/2)² - 312 - 14x = 0

Expanding the square term:

6(x - (23/2))² - 1044 - 14x = 0

Finally, adding 1044 to both sides and simplifying:

6(x - (23/2))² = 14x + 1044

The intermediate step after completing the square is:

6(x - (23/2))² = 14x + 1044

Little Johnny's lemonade stand sells glasses of lemonade for 75 cents per class. If he sells 125 glass, how much money did he make?
$75.00
$93.75
$935.75
$9375.00

Answers

D. $9375.00

Johnny is selling lemonade for 75 cents per glass. This means that you have to multiply the number of glasses of lemonade by 75 to get the total amount of money that Johnny made.

Thus, 75 times 125 equals 9375

He got 93.75$ that is the answer

Basketballs cost 24$. a physical education teacher spent 312$ on basketballs for the school.

Which equation can be used to determine the number (n) of basketballs the physical education teacher purchased?

A. 24+n=312
B. 24/n =312
C. 24n= 312
D. 24 =312-n
URGENT!!!

Answers

C 24xn=312 312/24=13 24x13=312 n=13

A rental company charges a flat fee of $50 to rent a ski jet. In addition, renters must pay $17.50 per hour of ski use. Which equation correctly represents the total cost, c, to rent a jet ski for h hours?

Answers

Answer:

f(x) C= x+50 x=17.50$/h

Step-by-step explanation:

I might not be sure about it, but it might be a function that is f(x) C= x + 50 dollars

x=17.50 dollars /hour

so that means if it is 1 hour, then 17.50$ +50$ which is 67.50$, if it's 2 hours then 17.50$/h = n$/2h so n=17.50$ *2 = 35$ + 50$ = 85$

A trip to St. Louis from Atlanta will take 7¾ hours. Assuming you're two-thirds of the way there, how much longer, in hours, will the trip take?

Answers

Answer:

5 and 1/6 hours

Step By Step Explanation:

Please answer part b

Answers

Taking the quotient between the total volume and the flow rate, we can see that the correct option is D.

For how long has Jeremy been watching the falls?

We know that water flows at a rate of 1.5*10^4 gallons per second. We know that 6.525*10^6 gallons flowed while Jeremy was watching, then the time that he has been watching is the quotient between these values, we will get:

time = ( 6.525*10^6)/(1.510^4) seconds = (652.5/1.5) second = 435 seconds

We know that 60 secons = 1 minute, then:

435/60 = 7 + 15/60

So he has been watching for 7 minutes and 15 seconds, the correct option is D.

Learn more about quotients at:

https://brainly.com/question/629998

#SPJ1

HELP I HAVE THE IQ OF A FISH PLEASE

Answers

Answer:

Step-by-step explanation:

28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.

28/2=14

So, the radius of this button is 14 mm

Help it’s math it a picture

Answers

Answer:the first one

Step-by-step explanation:

1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.

Answers

The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

Describing the basic characteristics

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.

Answers

Alex will pay 13.8 for her lunch after adding a 15% tip.

We will calculate the amount she paid for her lunch by calculating the tip she paid and adding it to the original price of the lunch(i.e. 12).

[tex]\implies{\sf{15 \% \ of \ 12 \ = \ 12 \times \dfrac{\cancel{15}}{\cancel{100}} }}[/tex]

[tex]\implies{\sf{Tip = \cancel{12} \times \dfrac{3}{\cancel{20}}}}[/tex]

[tex]\implies{\sf{Tip = 3 \times \dfrac{3}{5}}}[/tex]

[tex]\implies{\sf{Tip = \dfrac{9}{5}}}[/tex]

[tex]\implies{\sf{ Tip = 1.8}}[/tex]

Now, add the amount of lunch and tip

[tex]\implies{\bf{ Total \ amount = 12 + 1.8}} \\ \implies{\bf{Total \ amount = 13.8}[/tex]

Learn more about calculating tips on :

https://brainly.com/question/25748640

can some one help me please :(

Answers

Answer:

100ft²

Step-by-step explanation:

to find the area of the figure you must do the area of the small rectangle plus the area of the large rectangle

area = length* width

so the area of the small rectangle equals

7ft * 4ft = 28ft²

then the large rectangle

9ft*8ft=72ft²

28ft²+72ft²=100ft²

How many weeks will it take you to earn $3,437.50, if you work 25 hours
per week and make $12.50 per hour?

Answers

Answer:

We can start by calculating the total amount of money earned per week:

$12.50/hour x 25 hours/week = $312.50/week

To find out how many weeks it will take to earn $3,437.50, we can set up a proportion:

Total amount earned / Amount earned per week = Number of weeks

$3,437.50 / $312.50/week = 11 weeks

Therefore, it will take 11 weeks to earn $3,437.50 working 25 hours per week at a rate of $12.50 per hour.

Hey! That's a great question. It will take you 11 weeks to earn $3,437.50 if you work 25 hours per week and make $12.50 per hour.

will give brainliest to quickest answer

Answers

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7. 80 per pound with French Roast Columbian coffee that cost $8. 10 per pound to make a 20-pound blend. Their blend should cost them $7. 92 per pound. How many pounds of each type of coffee should they buy?

Answers

They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.

How many pounds of each coffee should be used?

Let x be the number of pounds of City Roast Columbian coffee.

Let y be the number of pounds of French Roast Columbian coffee.

The total cost of the blend is 7.80x + 8.10y

The total weight is x + y = 20.

We can write an equation for the cost per pound:

(7.80x + 8.10y) / 20 = 7.86.

We will multiply both sides by 20 which gives:

7.80x + 8.10y = 157.20.

We can use this equation along with the total weight equation to solve for x and y:

x + y = 20

y = 20 - x (subtract x from both sides)

7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)

7.80x + 162 - 8.10x = 157.20 (distribute)

-0.30x = -4.80

x = 16

Solve for the equation (x + y = 20):

y = 20 - x

y = 20 - 16

y = 4.