Find a and b given f(x) = ax + b, f(1) = 7, and f(3) = -5.

Answers

Answer 1

Answer:

a = - 6, b = 13

Step-by-step explanation:

Given f(1) = 7 , that is f(x) = 7 when x = 1

f(3) = - 5 , that is f(x) = - 5 when x = 3

Substitute these values into f(x) = ax + b

a + b = 7 → (1)

3a + b = - 5 → (2)

Subtract (1) from (2) term by term to eliminate b

(3a - a) + (b - b) = - 5 - 7

2a = - 12 ( divide both sides by 2 )

a = - 6

Substitute a = - 6 into either of the 2 equations and solve for b

Substituting into (1)

- 6 + b = 7 ( add 6 to both sides )

b = 13


Related Questions

Given the table, write and equation for the function, and describe what it does.

ASAP!!!

Answers

Answer:

f(x) = 3x + 1

Step-by-step explanation:

f(x) = 3x + 1

f(1) = 3+1 = 4

f(2) = 3*2 + 1 = 7

f(3) = 3*3 + 1 = 10

f(4) = 3*4 + 1 = 13

it's a linear function with slope 3 and y intercept 1

Will mark brainliest

A. What is the solution to the
system based on the graph?

B. How do you know it is the
solution?

Answers

Answer:

(0, 2)

Step-by-step explanation:

The solution to the system based on the graph is (0, 2)

Reason: Lines are intersecting at point (0, 2) which satisfy the given equations.

Jane goes to an amusement park with her friends. The admission fee to the amusement park is $8 and each ride costs $2. If Kelly has only $32 to spend how many rides can she go on?​

Answers

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

Answers

Answer:8 cups

Step-by-step explanation:

Help me? I’m giving brain

Answers

Answer:

4.31 as said

Step-by-step explanation:

Answer:

it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry

please help me! i'll mark you brainliest
20 points, (maths)

Answers

Answer:

5/6 of the time or 50 minutes

Step-by-step explanation:

PLS HELP I'LL GIVE YOU THE BRAINLEST
Which statement describes the situation shown in the graph?
А. Sales decrease with an increase in the price.
B. Sales increase with a decrease in the price.
C. Sales remain the same even if the price decreases.
D. Sales decrease with a decrease in the price. ​

Answers

Answer:

The answer is A

Step-by-step explanation:

Because if you look at the bar... the higher it goes the lower the sales go

The statement that best describes the situation shown in the graph is that the Sales decrease with a decrease in the price. ​

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that best describes the situation shown in the graph is that the Sales decrease with a decrease in the price. ​

Learn more about Graph:

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Find the value of x.

Answers

Answer:

Hope that answers your question, good luck in the future

What is the probability of rolling a 2 or 6 on a six-sided number cube?

Answers

Answer:

likely .

Step-by-step explanation:

Answer:

2 out of 6 chance

Step-by-step explanation:

Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?

Answers

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

help please! ill mark you brainliest!

Answers

Answer:

80 degrees

Step-by-step explanation:

angle c=50

this is an isoceles triangle in which both base angles are same

so, angle e=50

now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180

so, 50+50+angle d=180

100 + angle d = 180

angle d =180-100

angle d = 80 degrees

PLEASE help, im trying to bring my grade up for this class.

Answers

Answer:

Yes, Nan pays $25 more

Step-by-step explanation:

144 hours /24 hours per day = 6 days exactly

$50 + (5 x $25) = $175

145 hours 24 hours per day = 6 days and one hour  (must pay for 7 days)

$50 + (6 x $25) = $200

$200 - $175 = $25 more

how do I solve this?​

Answers

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values

[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

Yasmin arived home from play practice began 20 minutes after the final bell and lasted for a half hour. When did school end.

Answers

Answer:

the school ended at 3:20pm

Step-by-step explanation:

Since Yasmin arrived home from play practice at 4:25 p.m.

The walk home took 15 minutes.

And, The practice starts 20 minutes after the final bell and lasted for a half hour.

Now Total time taken in all activities would be

= 15 + 20 + 30

= 65 minutes

Now deduct 1 hour and 5 minutes from 4:25 pm

i.e.

1 hour prior to 4:25 pm i.e. 3:25 pm

And, 5 minutes prior 3:25 pm i.e. 3:20 pm

So, the school ended at 3:20pm

answerr to –m+8–9m+–8m+–10m

Answers

Answer:

USE THIS APP AS A GUIDE DO NOT USE IT AS AN ANSWER KEYYYYYY!!! ALRIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

https://photomath.app/en/

Answer:

-28m+8

Step-by-step explanation:

Combine like terms

(-m + -9m + -8m + -10m) + (8)

Someone :) is there anyone know what is the answer?

Answers

Answer:

answers are below

Step-by-step explanation:

a. -6 ≤ 3x < 15

steps in order to solve:

-6 ≤ 3x

= -6/3 ≤ 3x/3

= -2 ≤ x

3x < 15

= 3x/3 < 15/3

= x < 5

=> -2 ≤ x < 5

b. -3 < 2x - 1 < 7

steps in order to solve:

-3 < 2x - 1

= 1 - 3 < 2x - 1 + 1

= -2 < 2x

= -2/2 < 2x / 2

= -1 < x

2x - 1 < 7

= 2x - 1 + 1 < 7 + 1

= 2x < 8

= 2x/2 < 8/2

= x < 4

=> -1 < x < 4

c. 7 < -3n + 1 ≤ 13

steps in order to solve:

7 < -3n + 1

= -1 +7 < -3n + 1 - 1

= 6 < -3n

= 6/-3 < -3n/-3

= -2 > n

-3n + 1 ≤ 13

= -3n + 1 - 1 ≤ 13 -1

= -3n < 12

= -3n/-3 < 12/-3

= n > -4

=> -4 < n < -2

graphs are below.

hope this helps and is right :)

PLEASE HELP FAST !!

What is the volume of the cylinder below?

A. 288 units
B. 324 units
C. 216 units
D. 432 units

Answers

The volume of the cylinder is 288π units²

How to find the volume of a cylinder?

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 6 units

h = 8 units

volume of the cylinder = π × 6² × 8

volume of the cylinder = π × 36 × 8

volume of the cylinder =  288π units²

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Find one length of the square (7x-3) 3(x+1) calculator

Answers

Answer:

side = 7.5 cm

Step-by-step explanation:

7x-3 = 3(x+1)

7x-3 = 3x+3

reduce:

4x = 6

x = 1.5

side = 3(1.5)+3 = 7.5 cm

Please help me this is my final!!!

Answers

Answer:

it is a, or n=15

Step-by-step explanation:

Answer:

n=15 (No it's not cap)

Step-by-step explanation:

if the interior angle is 156 then to find the exterior angle we just do 180-156 which equals 24

360/24=15 so there are 15 sides

what is the probability of rolling a standard die twice and getting an even number, then 5?

Answers

Answer: 22.222% or .2222

Step-by-step explanation:

There are 6 sides on a standard die. Two of the numbers (1&4) are perfect squares so the chances of getting a perfect square on the first roll is 2/6. There are 4 numbers less than 5 (1,2,3,4). The chances of rolling a number less than 5 on the second roll is 4/6. The probability of two events is equal to the product of those events or in this case 2/6 x 4/6 which is 8/36. Which reduces to 2/9. That’s 22.222% or .2222

Find the surface area of the net.

Answers

Answer:

700

Step-by-step explanation:

5 x 20= 100

5 x 20= 100

10 x 20= 200

10 x 20= 200

5 x 10= 50

5 x 10= 50

100+100+200+200+50+50=700

7, 13, 19
Find the 32nd term

Answers

Answer:

32÷2= 16 so just do 16×12

Step-by-step explanation:

192

Answer:

6

Step-by-step explanation:

Ez

As Tish and Tan were traveling to their next cross country meet, they followed their progress along on a map. The map showed a scale of one inch equaling 60 miles. Their route’s total length on the map is 2 ½ inches long. How far will they be traveling to the meet? Show all work and justify your answer.

Answers

Answer:

150 miles

Step-by-step explanation:

60 *×2.5= 150 or 60*2= 120+ 30

(20 POINTS) Will Give Brainliest If You Explain Your Answer:
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.


x f(x)
0 1
2 9
4 17

g(x) = 3x + 1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answers

The correct answer the slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x)

Evaluate: 5*5/7
enter your answer as a proper fraction or mixed number

Answers

Answer:

3 4/7

Step-by-step explanation:

5 times 5/7 = 25/7

= 3 4/7

Answer:

3 4/7

Step-by-step explanation:

5/1 x 5/7 = 25/7 = 3 4/7

In 2.5 seconds, a projectile goes from 50 m/s to 800 m/s, heading southwest. What is the acceleration of the projectile?

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

Rob saves £500 in his bank account.
The bank pays 4% simple interest
per year.
a) How much interest will he have
earned after five years?
b) How much money will he have in
the bank after five years?

Answers

Answer:

step 1: =4% of £500

=20

=20 × 5 years

= 100

= £500 + £100

=£600 ....therefore Rob will have £600 in his bank account after years.

Jim’s pay is £180 each week.
Jim asks his boss for an increase of £20 a week.
Jim’s boss offers him a 10% increase.
Find how much Jim will be paid with the increase offered by his boss.

Answers

increases by 11.1% and his raise £18 and £2 less than what he wants

What is the postulate?

Answers

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

find the value of a2+b2 and a4+b4 when a+b=5 and ab =4

Answers

Answer:

a² + b² = 17

a^4 + b^4 = 257

Step-by-step explanation:

The only solutions for a+b=5 and ab =4 is:

4 and 1 but we don't know which is which. In this case it doesn't matter though.

a² + b² = 16 + 1 = 17

a^4 + b^4 = 256 + 1 = 257

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Will give brainliest to best answer and hope you have a great dayWhich one is a metaphor? How do you know?A). Mike's bedroom is a dark, dusty cave.B). Millie's room is like a museum. Everything is neat and orderly. Cindy is saving for a trip to Hawaii. Each week, she puts aside the same amount of money for her airfare. After 9 weeks of saving, she needs $390 more for her airfare. After 14 weeks, Cindy still needs $240. How much does Cindy put aside each week for her airfare? How much is the airfare to Hawaii? If you began a reaction with the following ions in solution, what would be the net ionic equation?Na+, PO43, Fe2+, and NO3 Five types of loss that can cause grief 6. What were the first Native American civilizations, and where were they located? HELPPPPPP!!!!! ASAPPPPPPP!!!!!!!!Which of the following expressions is correctly written in scientific notation? Getting a second opinion would not be appropriate in which of the following situations?A) A car accident in which several people were severely injuredB) A risky surgery that could solve one problem but create othersC) Removing a breast because of a strong family history of breast cancerD) A diagnosis of cancer in which both surgery and chemotherapy were options i need help with this pleasee please only answer if you're a hundred percent sure you know the correct answer and please answer all question Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)Can you please help?the points (p,3) and (-4,-4) fall on a line with a slope of 1/2. What is the value of p? Which of the following are dependent events? Select all that apply.You draw a marble from a bag, replace it, and draw again.You flip a coin and roll a number cube.You draw two numbers from 1 to 10 from a hat without replacing them first.You randomly choose two socks from a drawer, hoping they will match. 5 things that were shared through cultural diffusion from China and Korea to Japan that became part of Japanese culture? i need ur help thanksss Pls someone help rn!! Pls pls Which of the following statements accurately describes the religious views expressed by founding fathers such as Thomas Jefferson, John Adams, James Madison, and Alexander Hamilton?A. They attributed the American victory in the Revolutionary War almost entirely to divine intervention and, thus, wished for religion to play a prominent role in the new government.B. They wanted to implement some form of separation between church and state but argued that states in the new nation must keep their established, publicly funded churches.C. They rejected the idea of a benevolent Creator and sought to convince early Americans to treat atheism as the belief system underlying the separation of church and stateD. They sought to avoid religious conflicts in the new nation and viewed religious doctrines through the Enlightenment lens of rationalism and skepticism. What is full form of ELISA?? Where it is used for ? If angle 2 is 45 degrees, what is the measurement of angle 4? please help with question 2 50 points for answer and brainliest The school bus arrives late 2/7 of the time. The probability that it rains during a hurricane is 1. What meaning is connoted by the word"chronic" in the text?MildGenerousReasonableConsistent