Answer:
A quadratic equation can be solved using the quadratic formula, the factoring method, or completing the square. You expect to get either one or two answers.
Step-by-step explanation:
First, we have to understand how to solve a quadratic equation. There are three methods, the first of which is the quadratic formula. For any quadratic equation that takes the standard form of
[tex]f(x)=ax^2+bx+c[/tex]
you can solve for x by using the following formula:
x=(-b±√(b^2-4ac))/2a
Sometimes, however, the quadratic expression is factorable, meaning it can be converted into a product of two smaller expressions. For example:
[tex]x^2-4=(x-2)(x+2)[/tex]
As you can see, factoring gives you the roots easily (set each smaller expression to 0 and solve for x). If the quadratic is factorable, it would be easiest to use this method first.
Completing the square is another method that can be used to solve a quadratic function. It is often preferred because it converts the function into something factorable. In order to complete the square, you have to first ensure that the quadratic term's coefficient is 1. After that, you can take the linear term's coefficient, divide it by 2, and square it. Take the new term you found and add it to the equation. Because you are adding something to an equation, you must also subtract. Now, you can complete the square and factor. An example can be found below:
[tex]x^{2}-6=0\\\\(x^2-6+9)-9=0\\\\(x-3)^2-9=0\\\\(x-3-3)(x-3+3)=0\\\\x(x-6)=0\\\\x=0, x=6[/tex]
A quadratic equation can only have up to two solutions. You can imagine the graph of a quadratic. It looks like a parabola and only changes directions once. This means that it only crosses the x-axis two times. You can also look at the examples given and see that factoring only gives you two smaller expressions (leading to 2 roots). Sometimes, however, you might get a double root, leading to an equation with only one solution. This happens when the discriminant of the quadratic equation is 0. You can calculate this in advance to save yourself some time.
how many solutions does y = x^2 + 7x - 11 have?
Answer:
infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value
Find the value of 9/8 ÷ (-4)/9
Answer:
Step-by-step explanation:
One card is selected at random from the deck. What is the probability of selecting a heart or red Queen from the deck of cards
The probability of selecting a heart or red Queen from the deck of cards is 1/2.
Total cards = 52
total red cards = 26
P(not selecting a red card)
= (52-26)/52
= 26/52
= 1/2
Total heart = 13
Total 2 = 4 (one for each club, diamond, heart, spade)
Total 2 of heart = 1
P(not selecting a 2 or heart) = (52 - 4 - 13 + 1)/52
= 36/52
= 9/13
Opportunity is the department of arithmetic concerning numerical descriptions of how probably an event is to arise, or how probably it's far that a proposition is genuine. The possibility of an occasion is a range of between zero and 1, where, more or less speaking, 0 shows the impossibility of the occasion and 1 indicates certainty.
The possibility is clearly how in all likelihood thing is to show up. each time we are uncertain about the final results of an event, we can talk about the probabilities of sure effects and how likely they're. The evaluation of activities governed via chance is known as statistics.
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sin^6 theta - cos^6 theta = ( 1-2cos^2 theta) (1- sin^2 theta .cos^2 theta )
Please find attached herewith the solution of your question.
if you have any question, feel free to ask.
I need to know the answer I got cancer and I fell tired and I need to do this and no one is helping me
What is the equation? The wording is weird I don’t understand it well
Answer:
13) 12x=147 14) 13
Step-by-step explanation:
Break even means when they are equal in value I guess.
So 12x=147
To make it worth it to buy the movie pass, 12x>147
x>12 1/4, so at least 13 movies to make it worth it.
Chun has a restaurant bill of $74.40. About how much money should he leave for a 15% tip?
$5.00
$20.00
$16.00
$11.00
Answer:
$11.00
Step-by-step explanation:
1. To answer this question, we have to multiply 74.40 by 15%.
2. 15% = 0.15
3. 74.40 x 15 = 11.16
One side of a triangle has length $10$, and the triangle has integer perimeter. What is the smallest possible perimeter of the triangle
The smallest possible perimeter of the triangle is 21.
The third important property of triangles is the triangle inequality rule, which states: that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides.
so let 10 = a
10 < b+c
So a good integer value for b+c would be 11
10 > b-c
If we let b be the bigger of the two 10 and 1 would work for b and c respectively or 7 and 4 or 6 and 5 or 6.5 4.5, etc
10 + 11 = 21.
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which is the secondary use of data from the 2000 census classification system to identify disparities in mentalhealthcare
The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.
What is the 2000 census classification system?The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.
The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.
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In a sale, the football club shop reduced the price of the football shirts to $23.80.
An error was made when working out this sale price.
The price was reduced by 30% instead of 20%.
Calculate the correct sale price for the football shirt.
The correct sales price for the football shirt is $24.75.
What is the correct sales price?The first step is to determine the initial price of the shirt before the 30% discount was applied:
(1 + 0.3) x 23.80 = $30.94
The second step is to now apply the appropriate discount rate:
(1 - 0.2) x 30.94 = $24.75
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Use Word to documents your comparison of the two years and explain your findings in at least two paragraphs. Including: Explain standard deviation in terms of your calculations. What does it mean? Explain margin of error in terms of your calculations. What does it mean? Explain correlation coefficient in terms of your findings. What does it mean? What else stands out? If there were changes, what could you attribute them to? Do you notice anything questionable about the data? If so, what?
In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.
Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .
Standard deviation
In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.
Formula: [tex]\sqrt{(x-x bar)^{2}/N }[/tex]
where x bar is mean and N is size of population.
Margin of error
The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.
Formula for M=z*s/[tex]\sqrt{n}[/tex]
here z is z value of Z score , s is variance , n is that the sample size.
Correlation coefficient
In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.
Formula=∑[tex](x_{i} -x bar)(y_{i} -y bar)/\sqrt{}[/tex]∑[tex](x_{i} -x bar)^{2}[/tex]∑[tex](y_{i}-ybar) ^{2}[/tex]
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Of the following points, name all that lie on the same horizontal line
(-5,7) (5,-7) (7,-5) (-7,5)
Answer:
(-5,7) (5,-7)
Step-by-step explanation:
When you are told to lable, show or name the points that lie on a horizontal line, it basically means that; when a line is drawn, it passes through the selected points without changing the direction when joined together (horizontally).
From the above problem, (-5,7) and (5,-7) lie in the same horizontal line.
For (7,-5) and (-7,5) lie in the same vertical line.
Thereforeour, the answer is (-5,7) (5,-7).
10. Townsend Realty purchased the Glenview Street property for $140,000 and received a 40%
discount off the original price along with an additional 20% off the discounted price for
purchasing the property in cash. Which of the following best approximates the original price,
in dollars, of the Glenview Street property?(
)
(A) $350,000
(B) $291,700
11. Intersecting lines r, s, and t are shown below.
(C) $233,300
(D) $175,000
Answer:
answer is c
Hop it helps you
MATH: Carissa needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Carissa only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
The maximum number of miles she can drive is $111.388.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Step-by-step explanation:
The rental company charges $19.95
and, 18 cents for each mile driven.
So,
$40 - $19.95 = $20.05
Thus, the maximum number of miles she can drive
=$20.05 / by 0.18
= 111.388
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. If x is an even integer, which of the following cannot be an odd integer?
A) x+1
B) x/2
C) x/3
D) 2x+1
Answer:
x/3
Step-by-step explanation:
x+1 will always be an odd integer, since x is an even integer because the pattern of integers is odd, even, odd, even, odd... and so on, in intervals of 1.
x/2 will sometimes be an odd integer. Because x/2 will always be an integer, since x is an even integer, meaning it is divisible by 2. So by definition any integer, even or odd, multiplied by 2 will give you an even integer. For example 3*2 = 6, 5*2 =10, 7*2=14. These are all even integers, and when you divide by 2, you'll get an odd integer
So let's look at x/3. 1*3 = 3, 3*3 = 9, 5*3 = 15, 7*3 = 21. See how it always results in another odd integer? Well this is because you essentially have (odd + odd + odd), the odd+odd will result in an even, which is explained in the previous question, but then adding another odd number to an even number, will result in an odd. This means that any time you multiply an odd integer by 3, you will always get an odd result, meaning no even integer can be divided by 3 to get an odd integer.
What is the area of a tringe with a base of 16cm and a height of 5ft plus the area of a rectangle with the height of 19cm and width of 23cm.
How did you identify the line of sight, angle of elevation and angle of depression?
Answer:
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.
Step-by-step explanation:
ヾ(＾-＾)ノ
If a researcher is using a t statistic to test a null hypothesis about a population, what information is needed from the population to calculate the t statistic?.
The T statistic does not require any information about the population.
The T - statistic is the ratio of the predictable value of a parameter from its hypothesized value to its standard disputable values.
The T statistic uses the sample variance instead of the population variance.
Since, the T statistic depends on the hypothesized population mean. So in place of the standard deviation of population, size or mean of the population, T-statistic depends on the sample mean, the sample standard deviation and the sample size .
Thus, The T-statistic does not require any information about the population
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Writing Exercises
428. Find a printed map and then write and solve an application problem similar to Example 8.79.
Answer:
Given a map of San Francisco, Las Vegas and Los Angeles on which triangles are drawn.
We find that the distance from Los Angeles to San Francisco is 351 miles.
Step-by-step explanation:
Given a map of San Francisco, Las Vegas and Los Angeles on which triangles are drawn.We need to find the distance from Los Angeles to San Francisco.Since, the triangles are same and hence similar triangles, the corresponding sides are proportional.In the proportion, we will make numerators as miles and denominators as inches and solve the equation.Step 1 of 2
In similar triangles, the corresponding sides are proportional.
We know that the distance between Los Angeles and Las Vegas is 270 miles and on the map it is 1 inches.
We need to form a proportion to find the distance between Los Angeles and San Francisco if on the map it is 1.3 inches.
Let the distance between Los Angeles and San Francisco be x .
[tex]\begin{aligned}&\frac{\text { miles }}{\text { inches }}=\frac{\text { miles }}{\text { inches }} \\&\frac{x \text { Miles }}{1.3 \text { inches }}=\frac{270 \text { Miles }}{\text { linch }} \\&\text { Multiplying both sides by } 1.3 \text { we get, } \\&x=270 \times 1.3 \text { Miles } \\&x=351 \text { Miles }\end{aligned}[/tex]
Step 2 of 2
To check if the answer is reasonable, we substitute it back in the formed proportion
[tex]\frac{x \text { Miles }}{\text { 1.3inches }}=\frac{270 \text { Miles }}{1 \text { inch }}$$[/tex]
We found x=351 Miles hence,
[tex]$$\begin{aligned}&\frac{351}{1.3}=\frac{270}{1} \\&270=270 \\&\text { Here, } L H S=\text { RHS }\end{aligned}$$[/tex]
Hence, our answer is correct.
Someone please solve this ASAP!!!!!
Answer:
Y
Step-by-step explanation:
Given equation: f(x) = ∛(x - 2)
Find the y-intercept, [set x = 0]
f(x) = ∛(0 - 2)
f(x) = ∛-2 = -1.26
y-intercept: (0, -1.26)
Find the x-intercept, [set y = 0]
0 = ∛(x - 2)
x - 2 = 0
x = 2
x-intercept: (2, 0)
Graph Y shows this characteristics by passing points (2, 0) and (0, -1.26).
Graph Y shown:
(x-5y,-3):(1,3y-x) find value of x and y
Please help me to solve thiss!!
Answer:
x=11, y=2
Step-by-step explanation:
We can set 1 equal to x-5y and then solve for x. and y.
x = 5y+1
y = x-1/5
We can use this information and plug back in the values for 3y-x or x-5y.
We can set -3 = 3y-x or 1 = x-5y.
To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.
We can do a bit of algebra which would get us x = 11.
Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.
y=2
x=11, y=2
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-7, -5), B(-7, 6),A(−7,−5),B(−7,6),A, left parenthesis, minus, 7, comma, minus, 5, right parenthesis, comma, B, left parenthesis, minus, 7, comma, 6, right parenthesis, comma C(-4, 6)C(−4,6)C, left parenthesis, minus, 4, comma, 6, right parenthesis, and D(-4, -5)D(−4,−5)D, left parenthesis, minus, 4, comma, minus, 5, right parenthesis.
Given these coordinates, what is the length of side CDCDC, D of this rectangle?
The length of side CD is equal to 11 units.
Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)
We are require to find the length of side CD.
Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.
We know that the distance means how far two points are located.
Coordinates of A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).
Distance=[tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex] where ([tex]x_{1} ,y_{2} )(x_{2} ,y_{2} )[/tex] are the coordinates of two ends of a line.
CD=[tex]\sqrt{(-5-6)^{2} +(-4+4)^{2} }[/tex]
=[tex]\sqrt{11^{2}+0^{2} }[/tex]
=[tex]\sqrt{121}[/tex]
=11 units.
Hence the length of side CD is 11 units.
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Question is wrong as it should be :
Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.
A bike store marks up the wholesale cost of all bikes they sell by 30%. calvin wants to buy a bike that has a price log of 123.50. what was the wholesale cost of the bike?
The wholesale cost of the bike is 95.
Wholesale price is the price charged for a product as sold in bulk to large trade or distributor groups as opposed to what is charged to consumers.
The selling price is how much a buyer pays for a product or service.
The profit formula is used to calculate the amount of gain that has been made in a transaction
Profit = Selling Price (S.P.) - Cost Price (C.P.)(here it is the wholesale price)
Given =
Selling Price = 123.50Wholesale price = ?Profit = 30% of wholesale priceSubstituting it in the profit formula we get
0.3 x wholesale price = 123.50 + wholesale price
1.3 x wholesale price = 123.50
Wholesale price = [tex]\frac{123.50}{1.3}[/tex] = 95
Thus the wholesale cost of the bike is 95.
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Which graph shows y=3⌈x⌉+1?
The graph that shows y=3⌈x⌉ + 1 from the given options is the Third graph as shown attached.
Which graph shows the function best?The third graph shows the function and this can be tested as follows:
When x = 2, y = 7:
y = 3x + 1
= 3 x 3 + 1
= 7
When x = 3, y = 10:
y = 3 x 3 +1
= 10
When x = 1, y = 4
y = 3 x 1 + 1
= 4
This shows that the line on the third graph is well represented by the function, y=3⌈x⌉+1.
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What if four girls want to share $9.60 equally? how much money will each girl get? complete the explanation. each girl will have how much money
Answer:
$2.40
Step-by-step explanation:
$9.60/4 = $2.40
Answer:
Step-by-step explanation:
[tex]\frac{9.60}{4} =$ 2.40[/tex]
A property agent sells a house for $320 000, of which he receives a commission of 1.5 %.
Calculate the amount of commission the agent receives.
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:17
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).
On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
The graph that represents viable values for y = 2x is Option A.
What is a Straight Line Function ?A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.
The given equation is y = 2x
here m = 2
x is the number of pounds of rice scooped and purchased from a bulk bin
y is the total cost of the rice
as both the data cannot be negative , Option C , D is out of choice
The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0
ends at point (2.5, 5) giving a slope of m =2 ,
Therefore , The graph that represents viable values for y = 2x is Option A.
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The area of a rectangle is 30 square feet. The base of the rectangle is 7.5
feet.
What is the height of the rectangle, in feet?
OA. 7.5 ft
OB. 225 ft
O C. 4 ft
OD. 22.5 ft
Answer:
4 ft
Step-by-step explanation:
Area of rectangle:Area = 30 square ft
base = 7.5 ft
[tex]\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}[/tex]
[tex]\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft[/tex]
Here's the next(Sorry I've been a little late on them(And BTW I will base my questions on measurments for Cars, Boats and Vessels, and AirCraft)
How many mph is Mach 1?
How many mph is Mach 3?
This is for AirCrafts and Jets . . .
(Worth 15)
Good Luck!!!
Based on the conversion rates of miles per hour and mach speeds, the value of Mach 1 in mph is 767.21 mph. Mach 3 will be 2,283.62.
What does it mean to go at mach speed?
Mach speed is used to denote the speed of an object that is traveling faster than sound.
Mach 1 would be a speed of 767.21 mph or more than 1,200 km/h. Mach 3 will be three times this speed at 2,283.62 mph.
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Question 7 (Essay Worth 5 points)
7.03
An equation is shown below:
5(2x - 8) + 15 =:15
Write the steps you will use to solve the equation and
explain each step,
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]
[tex]\huge\textbf{Solving for the equation:}[/tex]
[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]
[tex]\huge\textbf{Distribute 5 within the parentheses: }[/tex]
[tex]\mathbf{5(2x) + 5(-8) + 15 = 15}[/tex]
[tex]\mathbf{10x - 40 + 15 = 15}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{10x + (-40 + 15) = 15}[/tex]
[tex]\mathbf{10x - 25 = 15}[/tex]
[tex]\huge\textbf{Add 5 to both sides:}[/tex]
[tex]\mathbf{10x - 25 + 25 = 15 + 25}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{10x = 15 + 25}[/tex]
[tex]\mathbf{10x = 40}[/tex]
[tex]\huge\textbf{Divide 10 to both sides:}[/tex]
[tex]\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{40}{10}}[/tex]
[tex]\mathbf{x = 40 \div 10}[/tex]
[tex]\mathbf{x = 4}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]