HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

X g(x)
0 $600
3 $720
6 $840

Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?

Answers

Answer 1

Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125


Related Questions

7 more than 3 times a number is 49.What is the number?

Answers

Answer:

14

Step-by-step explanation:

Let x be the missing number

3x + 7 = 49   [Given equation]

3x = 42   [Subtract 7 from both sides of the equal sign]

x = 14   [Simplify]

Hope this helps! I apologize if I get this incorrect.

    Answer:14

Step-by-step explanation: I hope this helps plz tell me if its wrong so i can fix it :)

Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."

Part A

What is an implied idea about the Lakota Music Project in the article?


It was created to unite Native American musicians and their diverse ideas.

It was established with the intent to increase human connectivity.

It was intended to celebrate the uniqueness of Native American music and not to limit it.

It was viewed as an idea that covered all areas of the human experience.

Part B

Which two sentences from the text that best support the answer in Part A?


“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

“‘I find the Lakota Music Project a visionary undertaking, and I feel it deserves to be more widely known,’ said Joseph Horowitz.”

"The Lakota Music Project's focus remains on building bridges through music."

“Some of the orchestra's musicians and the Porcupine Singers, a drumming circle on the reservation, met to exchange ideas and play music for one another.”

Answers

Answer: part A

It was established with the intent to increase human connectivity.

part B

"The Lakota Music Project's focus remains on building bridges through music."

“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

Step-by-step explanation: I took the test ok k12 sooo...

Answer for part A

It was established with the intent to increase human connectivity.

Answer for part B

"The Lakota Music Project's focus remains on building bridges through music."

AND

“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

Note

I also took the K12 test, and got it correct! :D (Note: I forgot to click on the "Gier was eager to develop'... thats why it's yellow.)

Which expression is equivalent to (2g^5)^3

Answers

Answer is 8g^15
Pls mark me brainliest

Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

4.
Which of the following lists is ordered from least to greatest?
1-1.51, -2,0
2 3
5 4
0-2
2 3
-2, -1.5, 0,
5'4.
32
-2, -1.5, 0,
4' 5
2 3
-1.5, -2,0
5'4

Answers

Answer:

2 3

2 3

-2 - 1.5 0

4 5

Step-by-step explanation:

-10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 1 0

Answer is 23 23 0 -2

التاريخ / /
اليوم
موضوع الدرس
و(
is 82
room )
what is
ده by
و به
the
area
0
the
room?can I translate in English ​

Answers

I cannot read what this is but can you translate

Which expressions are in simplest form? Check all that apply.
x Superscript negative 3 Baseline + y cubed
StartFraction 1 Over x Superscript 4 EndFraction
StartFraction w Superscript 7 Over x squared EndFraction
a Superscript negative 9
StartFraction 1 Over a squared EndFraction + b squared
StartFraction 1 Over b Superscript 5 EndFraction

Answers

Answer:

b. 1/x^4

c. w^7/x^2

e. 1/a^2+b^2

f. 1/b^5

Step-by-step explanation:

Simpilest form means that the exponents must be a postive number. That's what the Edge guy said. I entered these answers in and I got it right on Edge 2021. Today is Janurary 3rd.

The expressions in the simplest forms would be as follows:

b). [tex]1/x^4[/tex]

c). [tex]w^7/x^2[/tex]

e). [tex]1/a^2+b^2[/tex]

f). [tex]1/b^5[/tex]

Write the expressions in the simplest forms:

The simplest form is described as the most compact form of an expression that cannot be broken anymore and does not have any other factor in common than 1.

All the above-mentioned expressions exemplify the simplest forms as they do not have any other factor in common except for 1.

Thus, options b, c, e, and f are the correct answers.

Learn more about "Expressions" here:

brainly.com/question/13947055

I need help please ​

Answers

Answer:

n=1/3

Step-by-step explanation:

Answer:

There’s no error

Step-by-step explanation:

Question is in the picture below please help

Answers

Answer:

3

Step-by-step explanation:

3(8)(4)/8(4) = 3

Answer:

3

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a = 8

b = 4

(3ab)/(8b)

Step 2: Substitute and Evaluate

(3 · 8 · 4)/(8 · 4)

(24 · 4)/32

96/32

3

Kira wants to cover hr rectangular patio in cement. The patio measures 4yd long and 3yd wide.

Answers

Answer:

The answer is 12 yds.

Step-by-step explanation:

The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.

Hope this helped!

If f(x) = 8x+9 and g(x) = 4x-3, what is (f+g)(x)?
O A 4x-12
B. 4x+12
0
C 12x+6
D. 32x-27

Answers

I think is c that what i think
I think it’s c that’s what I think

What is the product?​

Answers

This is the product for the answer you need just press on it.

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSssssssss











if i could get 3 apples, and i got 5 mapples, how much apples do i get?

Answers

Answer:

3 Apples and 5 Mapples!!!

Step-by-step explanation:

Answer:

you have 8 apples

Step-by-step explanation:

How to round 141.999 to the nearest one

Answers

Answer:

It's 142

(✿◠‿◠)

If you have a 5 or more on the tenths place, then you make one go up to the next number.

Answer:

142

Step-by-step explanation:

To round 141.999 to the nearest hundredth consider the thousandths’ value of 141.999, which is 9 and equal or more than 5. Therefore, the hundredths value of 141.999 increases by 1 to 0.

Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.

Answers

Answer:

D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.

Step-by-step explanation:

The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:

P = 6x² - 3x - 2

Q = 3x² + 2x - 6

Let R = P - Q

Thus:

(6x² - 3x - 2) - (3x² + 2x - 6)

Open parentheses by distributing the factor of -1

6x² - 3x - 2 - 3x² - 2x + 6

Add like terms together

6x² - 3x² - 3x - 2x - 2 + 6

R = 3x² - 5x + 4

The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.

Also, let us assume the following:

P = 4x² + 4x - 3

Q = 4x² + x - 8

Let R = P - Q

R = (4x² + 4x - 3) - (4x² + x - 8)

R = 4x² + 4x - 3 - 4x² - x + 8

Collect like terms

R = 4x² - 4x² + 4x - x - 3 + 8

R = 4x + 5 (4x² cancels 4x²)

The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.

Also, let us assume the following:

P = x² + 2x - 3

Q = x² + 2x - 8

Let R = P - Q

R = (x² + 2x - 3) - (x² + 2x - 8)

R = x² + 2x - 3 - x² - 2x + 8

Collect like terms

R = x² - x² + 2x - 2x - 3 + 8

R = 5 (x² cancels x², and 2x cancels 2x)

The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.

Therefore we can conclude that:

D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.

Alli can mop Strong Hall in 10 hours. Working together, Alli and Zach mop Strong Hall in 4 hours. How long would it take Zach to do this job alone?

Answers

Answer:

8 hour

Step-by-step explanation:

Mutiply. Express your answer 7/10 times 2/5

Answers

Answer:

7/25

Step-by-step explanation:

the answer is 7/25

because 7/10 x 2/5 =7/25

A line passes through -1,-1and .-3,5

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=-3x - 4

Step-by-step explanation:

y2 -y1 = 5- -1 =-4

x2 -x1=-3 - -1=-2

slope is -3

g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year

Answers

Answer:

The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.

Step-by-step explanation:

The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n (E)}{N}[/tex]

The number of absences during the past year tabulated by marital status is as follows:

Marital Status      0 Absences     1 - 5 Absences     More than 5 Absences

  Married                     100                     98                              52

Not Married                  77                     102                              71

Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:

[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]

                                       [tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]

Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.

W/4 -4=3

Solve the eqution pls!

Answers

Answer:

W=28

Step-by-step explanation:

(W/4)-4=3

(W/4)=7

W=28

W=28 is the answer ........

Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar

Answers

Answer:

25

Step-by-step explanation:

The domain of the function f(x)=−3x is restricted to the negative integers. Which values are elements of the range?

Answers

answer

[tex]fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3[/tex]

Answer:

learning only kang po yan

Step-by-step explanation:

basa lang

You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?

Answers

Answer:

17

Step-by-step explanation:

Y+5<3 inequality solution

Answers

Answer:

y=2

Step-by-step explanation:

y + 5 < 3

- 5 -5

y = 2

.................................

What is 8x - 6x + 4 +5 = 19

Answers

combine like terms!! 2x+9=19, subtract 9 from both sides to get 2x=10, divide by 2 to get x=5. can i get brainliest? hehe :D

Answer: x = 5

The step-by-step explanation is below.

Combine like terms

8x-6x = 2x

4+5=9

2x+9=19

Subtract 9

2x=10

Divide by 2

x = 5

Hope this helps!

Which postulate or theorem would you use to prove these two triangles congruent?

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles are marked on the Angle, a Side, and Another Angle

Problem number 26 of the Rhind Papyrus says:

Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15.



The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15..

What is the solution to the equation?

x = 10
x = 12
x = 15
x = 30

Answers

Answer:

X=12 on edg

Step-by-step explanation:

Answer:

I can confirm, the answer is 12.

Pls answer quick, I’ll give brainliest!

Answers

Answer:

not sure if I understand the question but a=3,b=0,c=1

Step-by-step explanation:

-2+2(1)-3(-1)=3

-2+1-(-1)=0

2(-2)+2(1)-3(-1)=1

How many combinations are possible if you select one flavor of ice cream and one
topping?
Flavors Toppings
vanilla
chocolate
strawberry
fudge
marshmallow
caramel

Answers

Answer:

9

Step-by-step explanation:

There are 9 possible combinations.

1. Vanilla & fudge
2. Vanilla & marshmallow
3. Vanilla & caramel
4. Chocolate & fudge
5. Chocolate & marshmallow
6. Chocolate & caramel
7. Strawberry & fudge
8. Strawberry & marshmallow
9. Strawberry & caramel

Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?

Answers

Answer: 20

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.

There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?

Answers

Answer:

22 students.

Step-by-step explanation:

There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.

1/4 of 40 or 40/4 is equal to 10.

So we know 10 players ride with their parents.

2/5 of 40 or 40/5 is equal to 8.

Cool, 8 students walk to practice.

Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.

10+8=18

40-18=22.

22 students/players ride the bus to football practice.

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