Write a linear function f with the values f(0)=−3 and f(7)=11.

Answers

Answer 1

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3


Related Questions

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Answers

POINT A I had the same question in my math class !!!

What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?

Answers

Answer:

A

Step-by-step explanation:

A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm

Answers

C) 02cm is the correct answer
40\5/4 is 2

PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p

Answers

-10; b would equal -10 because when you multiply numbers with exponents, you add the exponents. the product would be 81^-10, so 81 is in the a spot and -10 is in the b spot

Answer:

-10

Step-by-step explanation:

So its A :}

Susan makes a purchase of $175 and is charged 7.75% for sales tax. What is the total cost of the purchase if Susan charges it on a credit card with a daily interest rate of 0.039% and pays the balance off at the end of 30 days? a. $176.17 b. $186.70 c. $190.77 d. $200.26

Answers

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

What is the percentage?

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

-4/7 + 2/7 x –14x + 4/7

Answers

The answer is -96/7x

Can you pls mark brainleist

Z-5=8 what is the answer

Answers

Answer:

z = 13

hope it helps ;))

The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.

Answers

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.

Answers

A. Yes because -2(2-4) does equals =4
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is

Answers

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-2, 1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{1-3}{-2-4}[/tex]Subtract:                        [tex]m=\frac{-2}{-6}[/tex]Simplify:                         [tex]m=\frac{1}{3}[/tex]

Answer:

1, 1/2 2, 4/3

Step-by-step explanation:

If we graph each points. Slope = rise/run

1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified

2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.

I will give brailiest to whoever needs it!

Answers

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *

Answers

Answer:

true

Step-by-step explanation:

What is the slope of у= 3х — 9​

Answers

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

PLz answer this Question

Answers

-3,6 i'm pretty sure
y=3/6+(-3)
I hope that helps!!

.Factor the expression using the GCF.
8y - 6x

Answers

Answer:

2(4y - 3x)

Step-by-step explanation:

Find the value of x and y.

Answers

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY

Answers

The answer is A : y=-1/5x+1 ..... I checked on desmos

What is the value of x?
X=

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

write an explicit rule for the sequence

Answers

For the top row it increases by 2. For the bottom row it decreases by 5. And the top row times 2 equals the bottom row

Find the value of the missing angle

Answers

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb

Answers

8000 pounds is required to produce 200 lb of refined sugar

How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?


It takes 200 lb of sugar cane to produce 5 lb of refined sugar

For 1 lb of sugar cane, the number of refined sugar that will be produced is

200= 5

x= 1

cross multiply

5x= 200

x= 200/5

x= 40

The number of pounds of sugar cane required to produce 200 lb of refined sugar is

= 40 × 200

= 8,000

Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars

Read more on pounds here

https://brainly.com/question/22851115

#SPJ1

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1

Please help me I don’t understand $!!!!!

Answers

9514 1404 393

Answer:

  a) f: all real numbers except 1 and 2; g: all real numbers except 2

  b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote

  c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2

      g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2

  d) f(x) is also undefined at x=1

Step-by-step explanation:

a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.

The zeros of the denominator of f(x) can be found by factoring it.

  x^2 -3x +2 = (x -1)(x -2)

These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).

  domain of f(x): all real numbers except x=1 and x=2

Then, by inspection, the domain of g is similar, but a little different:

  domain of g(x): all real numbers except x=2

__

b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.

  [tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]

There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*

__

c) The difference between the two functions is that f(x) is undefined at x=1.

  x = -2, -1, 0, 1, 2, 3, 4

  f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2

  g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2

__

d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.

_____

* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.

7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

Choose the graph below that represents the following system of inequalities:

y ≥ −3x + 1

y ≤ 1/2 x + 3

Answers

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number

Answers

Answer:

99 problems

Step-by-step explanation:

27 problems solved, x problems unsolved

27/x to 3/11

27/3 = 9

3/11(9/9)

27/99

There are 99 problems in Jennifer's homework.

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

can someone please help me with these two

Answers

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

Other Questions
(picture)circle the numbers that are divisble by the number given PLEASE HELP ME WITH THIS QUESTION Rosa lives in New York City, which has an average altitude of 33 feet. When she is at home, it takes her 10minutes to cook noodles in boiling water. She decides to go on a camping trip to Mount McKinley. Hercampsite is located 11,000 feet above sea level. Write the answer to each.A) Where will the atmospheric pressure be higher: at her home or her campsite?B) Where will the boiling point be higher?C) Will the noodles cook faster, slower, or at the same rate at her campsite than home? A student is preparing a presentation on famous speeches by leaders in the American Revolution. Which medium would be best for her to use?(1 point) Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour? QUESTION 11Which of the following is not a type of ethics theory?O DeontologyO UtilatrianismBehaviorismMoral Realitism They tell us, sir, that we are weak; unable to cope with so formidable an adversary. But when shall we be stronger? Will it be the next week, or the next year? Will it be when we are totally disarmed, and when a British guard shall be stationed in every house? Shall we gather strength be irresolution and inaction? What is the point of this dramatic rhetoric? a The colonists will gather strength through resolution. b The colonists' patience will be rewarded. c British control over the colonists will only increase. d The British army intends to station a guard in every house. The one-child policy relies on a mix of sticks and carrots. Depending on where they live, couples can be fined thousands of dollars for having a supernumerary child without a permit, and reports of forced abortions or sterilization are common. (Blind rural activist Chen Guangcheng made international headlines in 2005 for exposing just such a campaign by family-planning officials in Eastern China; he was later imprisoned on charges his supporters say were retaliatory.) The law also offers longer maternity leave and other benefits to couples that delay childbearing. Those who volunteer to have only one child are awarded a "Certificate of Honor for Single-Child Parents." Since 1979, the law has prevented some 250 million births, saving China from a population explosion the nation would have difficulty accommodating. What measures did China historically take to execute its one-child policy? Which of the following is an advantage of self-employment?A. Control over timeB. Long hoursC. Risk of failureD. Legal issuesPlease select the best answer from the choices provided.BOOOO Childhood illnesses can be predicted using a population pyramid system.A. trueB. False PLEASE HELP! Which phrase describes a feature of a Mercator projection? is least commonly used sizes most features to scale presents longitude lines as parallel shows most accurately near the prime meridian A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon? is this right if not please tell me the right answer the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure Which of graph has a zero of 4 PRETESTDirections: Read the following sentences carefully. Identify whether the underlinedwords is a phrase, a clause or a sentence.1.She passed the exam because of her father.___2.joey called his test because he did not study well._____ Is this a good topic sentence for my second body paragraph?Another way video games have impacted society is therapeutic wise. 1. _____ ayer hizo mucho calor. yo ____ a la piscina Jeremy find the cost by adding the percents. 25% off of $60 is equal to 15% off of $60, then subtracting 10% from that cost is equal to . The two total costs are To which subjects of a real number does the number -22 belong