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

can someone help me plz ​

Answers

Answer:

nose lo que dice.....pero puedo tener esos 5 puntos......perdób

What is 2,117 rounded to the nearest hundred?

Answers

Answer:

2,100

Step-by-step explanation:

Multiply each equation by a constant that would help to eliminate the y terms.
2x-5y = -21
3x-3y = -18
What are the resulting equations?
6x-15y = -63
- 15x+15y = 90
6x-15y = 63
-15x+15y = 90
6x-15y=-63
- 15x+ 15y = -90

Answers

6x-15y=-63
-15x+15y=90

This is because you are multiplying the first equation by a constant of 3 and the second equation by 5 so that you can have -15y and +15y which will cancel each other out.

round 6,577 the nearest thousand

Answers

Answer: 7,000

Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up

what are the prime numbers for 17

Answers

Answer:

17 is prime

Step-by-step explanation:

HI THIS IS SUCH A SIMPLE QUESITON BUT MY BRAIN ISNT WORKING HELP

Answers

Answer:

It doesn't say, but I think it is 781.57

Step-by-step explanation:

Solve for x.
I need help on this

Answers

Answer:

x = 7

Step-by-step explanation:

2(x + 2) = 3x - 3

2x + 4 = 3x -3

x = 7

Isaac used 1/4 of an ounce of nuts to make 1/8 of a cake. How many ounces of nuts are needed to make one cake?

Answers

Answer:

2 ounces of nuts are needed to make one cake.

Step-by-step explanation:

if he uses 1.4 to make 1/8 of a cake, then you need to do it 8 times to make a full cake. Multiply 1/4 * 8 which is equal to 8/4 which simplifies to 2. This is your answer!

2 ounces of nuts are needed to make one cake.

How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

Answers

Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

24 is the answer hope this helps

In hopes of encouraging healthier snacks at school, Janice brought in a tray 1 point
of carrot sticks and apple slices to share. She brought 76 snacks in all. 19 of
the snacks were carrot sticks. What percentage of the snacks were carrot
sticks?

Answers

Answer:

57%

Step-by-step explanation: Well, subtract 76 - 19 = 57. 57 of 100 = 57/100

57/100 = 57%

Please help due today right now

Answers

Answer:

Find "f(6)" __-8__

Find x when "f(x)=2" __x=1__

Step-by-step explanation:

For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"

For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1

If two angles are supplementary, their sum equals
A)
45°
B)
90°
180°
D)
360°

Answers

Answer:

180°

Step-by-step explanation:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.

Hope it is helpful....

Carlos needs 2/3 cups of raisins to make one batch of oatmeal bars. How many cups of raisins does Carlos need to makes batches of oatmeal bars? Select the correct answer.

Answers

Answer: 2²/₃ cups of raisins.

Step-by-step explanation:

Question wants to know the number of cups needed for 4 batches of oatmeal bars.

Each batch needs 2/3 cups of raisins to make.

If there are 4 batches to be made therefore, one must multiple the 2/3 cups to make one batch by 4 to find out the number needed to make 4 batches.

= 2/3 * 4

= 8/3

= 2²/₃ cups of raisins.

36 is what percent of 247

Answers

14.57% which will round to 14.6%

Explanation:
36 divided by 247 which gives you 0.14574899
Then you have to move the decimal two spots the the right. Which gives you...
14.574899%
Which you can then round to 14.6%

can someone answer my question????i need help i’m already failing i’ll give brainlist and points:/

Answers

Y= 2/3x+2
That should help

Need help because i can’t seem to figure it out

Answers

9514 1404 393

Answer:

  y -10 = 1/8(x +8)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have m = 1/8, and (h, k) = (-8, 10).

Putting those numbers in the form gives ...

  y -10 = 1/8(x -(-8))

You can simplify the double minus sign so you have ...

  y -10 = 1/8(x +8)

_____

Additional comment

A lot of math is about matching patterns and making substitutions. This is a good example of that.

EASY EXTRA POINTS HELP ASAP

Answers

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines

what is the value of a in the equation ax + b = c

Answers

Answer:

a= (c-b)/x

Step-by-step explanation:

subtract b to both sides

divide x to both sides

leaving a by itself.

What does w equal?pls help me

Answers

Answer:

-9/2

Step-by-step explanation:

Hope this helps

sorry if it’s wrong

i need help really bad because this is confusing

Answers

Basically read the number in them that’s what i’m guessing

find x to the nearest tenth

Answers

the value of x is 47.0

Tony owes Tina 40p.
Then Tina borrows 50p from Tony.
Later Tony gives Tina 60p.
Who has to pay what to whom to
square things up?
nswer
I need to answer this challenge

Answers

Tina needs to pay Tony 70p still

what is -2 to the 8th power

Answers

Answer:

-256

Step-by-step explanation:

Put a negative next to 2^8 and you'll get your answer.

Can you guys please help me i dont understand

file:///C:/Users/home/Desktop/Downloads/Ch%207.5%20Notes%20Writing%20and%20Graphing%20Inequalities.pdf

Answers

Answer:

It tells the anwser for some questions.

Step-by-step explanation:

Will mark brainliest, I just really need help w/ this!!!

Answers

Answer:

Step-by-step explanation:

1 and 6 are vertical angles.

X-y=4
4x+y=1 if you answer correctly I will give you Brainlist

Answers

Answer:

=

4

4

+

=

1

Step-by-step explanation:

write the following ratio in its simplest for 64:18​

Answers

Answer:

32 : 9

Step-by-step explanation:

To write a ratio in its simplest form , the numerator and denominator should be reduced by their common factor(s).

64 = 2 × 2 × 2 × 2 × 2 × 2

18 = 2 × 3 × 3

⇒ Common factor of 64 & 18 is 2.

So , reducing 64 & 18 by 2 gives :-

[tex]\frac{64 \div 2}{18 \div 2} = \frac{32}{9}[/tex]

∴ Hence , the simplest form is 32 : 9.

You want to order some T-shirts that cost $14 each. Shipping is $7 per order. If you
buy 11 T-shirts, what will the order cost?
$231
$154
$161
$91

Answers

The order will cost $231

Find the exact value of x

Answers

c^2=a^2+b^2
a=x
c=9
b=7
9^2=x^2+7^2
81=x^2+49
x^2=81-49
x^2=32
x= √32
x= 5.65685424949

An apple pie that has a 9-inch diameter is cut into six pieces. Lucas takes one slice of pie and sprays whipped cream in an arc along the curved edge of his piece. What is the length of Logan's arc
of whipped cream?
A
4.71 in
B
9.42 in
С
18.8 in
D
10.6 in

Answers

the answer would be A 4.71 inches
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