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

In February Liliana spent 35 hours watching Netflix. In march she only spent 18 hours watching. What was the percent decrease in the amount of time she spent watching?

Answers

I think the answer would be a

Is the expression
3/4a (16b + 24) equivalent to 12ab + 18a?
SHOW YOUR WORK

Answers

Answer:

Yes they are equivalent.

Step-by-step explanation:

since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.

Find the theoretical probability of rolling a number cube labeled 1-12 and it landing on 7.

Answers

Answer: 1/12 or 8.3%

Step-by-step explanation:

if the cube has 12 sides and only one (7) then there is a 1 in 12 chance it will land on that number or 8.3%

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

The function y= -0.2 + 0.5 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.

A. Identify and intercept the x- intercept

B. Identify and intercept the y-intercept

Answers

Answer:

A

Step-by-step explanation:

intercept the x- intercept

Answer:

Step-by-step explain

x-intercept: 2.8 hours

y-intercept: 0.7 . . . . fraction of power remaining

Step-by-step explanation:

The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.

To find the x-intercept, set y=0 and solve for x:

0 = -0.25x +0.7

0.25x = 0.7 . . . . . add .25x

x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)

The x-intercept is 2.8; the y-intercept is 0.7.

Y=6x-3 function rule

Answers

Answer:

f(x) = 6x - 3

Step-by-step explanation:

4. Write the equation in point-slope form. (-6, -2) and m = 3

Answers

y+2=3(x+6) is your answer.

Mount Whitney, is the highest point in California. It sits at 14,494 feet above sea level. The lowest point in California is Death Valley, which is 282 feet below sea level. What is the DIFFERENCE between the two points? ITS TIMED!!

Answers

Answer:

14,776 feet

Step-by-step explanation:

please help i will give brainliest

Answers

here’s my answers, for #10 it got cut off but I got m=9/7 and d=11.40

what is the value of x if 85 + 19x

Answers

Answer:

we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you

Step-by-step explanation:

A new Playstation game system costs $380. The tax on the system is 4%. What is the total cost of the system including tax? *

Answers

Answer:

395.2

Step-by-step explanation:

380 x 0.04 = 15.2

380 + 15.2 = 395.2

Answer:

The cost of the system including the tax is $395.20.

Step-by-step explanation:

If the tax is 4% that means that the total price will equal...

380 + (380)(0.04) = $395.20

Therefore the cost of the system including the tax will be $395.20.

Jay bought 6 tubs of kutsinta at P70 per tub plus a delivery charge of P30. How much will she pay for her order?

Answers

Answer:

the total amount paid by her is P450

Step-by-step explanation:

The computation of the total amount paid by her is given below;

= Total cost + delivery charges

= 6 tubs at P70 + P 30

= P420 + P30

= P450

Hence, the  total amount paid by her is P450

can someone help please

Answers

it’s the last one negative 13 over 7 mark me brainliest please

John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.

Answers

Answer:

The cirumference would be 78.5.

24*pi would equal 75.5398163397 so just round that.

Hope this helped

Which numbers from the list below are irrational numbers?

Your answer:

fraction numerator square root of 3 over denominator 7 end fraction


square root of 2.3 end root


8.5353...


fraction numerator negative 2 over denominator 5 end fraction

Answers

Answer:

1st and 2nd option are the correct answers.

Write two numbers that multiply to the value on top and add to the value on bottom.

Answers

Answer:

10 ,22

Step-by-step explanation:

i think so.................

What’s the measurement of

Answers

Step-by-step explanation:

4x and 6x sit on a straight line therefore must equal to 180°

4x+6x = 180° (∠'s on str. line)

10x = 180

x= 180/10

x= 18

Then we need to find ∠UYV

∠UYV = 4x

=4(18)

=72°

So ∠UYV = 72°

On a field trip there are 30 kids and 6 adults. Which of the following is a correct way to represent the ratio of these two quantities?
A) 5 kids per 1 adult
B)15 kids per 4 adults
C)1 adult per 5 kids
D)2 adults per 10 kids
This is for a TEST so can u show the work

Answers

A) 5 kids per 1 adult

Which equation represents a line which is perpendicular to the y-axis?

Answers

Answer:

The real answer is y=5

Step-by-step explanation:

because its horizontal

y=5  represents a line which is perpendicular to the y-axis

What is Straight line?

A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects

We need to find the equation which  represents a line that is perpendicular to the y-axis

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In the given options

x=-6

y=x-4

y=5

and x=-2y

The only horizontal line is y=5

Hence, y=5  represents a line which is perpendicular to the y-axis

To learn more on Straight lines click:

https://brainly.com/question/29223887

#SPJ2

which equation is represented by the phrase a number increased by 3 equals 10 ​

Answers

7+3=10 because it’s asking for something that adds 3 and that would equal 10 so the proper equation is 7+3=10 :)

Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how
many did she miss?

Answers

5% made means that out of every 100 shots she made 5 and therefore she missed 95 of them. You divide 95 by 100. To get percentage of missed shots in decimal form. It would be 0.95. Then multiply by the number of shots she took. Your answer would be 0.95 x 180

The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.​

Answers

the answer to your question is 3829.5 ft^2

4x + (-3) = -11
What is my answer can You please help me

Answers

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step

4x−3=−11

Step 1: Add 3 to both sides

4x−3+3=−11+3

4x=−8

Step 2: Divide both sides by 4

4x

4

=

−8

4

x=−2

Answer:

[tex]4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2[/tex]

What is the possible scale factor for the rectangle?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A and B. I hope I think

divide until the remainder is zero.
7.4 ÷ 4​

Answers

Answer:

1.85

Step-by-step explanation:

Answer:

this is not possible as it is a non terminating decimal

Are the following triangles similar? Show all work and/or explanations. If so, state the reason (SSS,SAS,AA)

Answers

Yes they are similar, SSS

there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6 swimmers. how many vans will the coach need for 40 students.

Answers

Answer:

They will need 7 vans.

Answer:

The answer is 7 vans

Step-by-step explanation:

Divide 40/6

you get 6.6 so you just round up to 7.

The 7th bus will have less passengers but that is how many you will need for everyone to fit

Hope that helps

Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.

Answers

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

Use synthetic division to solve

Answers

(9+32)r+21
—————
r+3

41r+21
————
r+3

Hope this helps
r+3333333333333333333333333333333

I need help due in a Hour PLZ HURRY

Answers

Answer:

circumference=πd=6πcm

circumference of dark arc =(360-120)/360×πd=

240/360×6π=4π is the required answer

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