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8090 [49]
2 years ago
13

If f is a linear function where f(-1) = 4 and f(5)=1, find a formula for f(x).

Mathematics
1 answer:
Svetach [21]2 years ago
4 0

Answer:

f(x) = -0.5x + 3.5

Step-by-step explanation:

f(x) = mx + b

f(-1) = -m + b = 4   ...(1)

f(5) = 5m + b = 1   ...(2)

(1)-(2):  -6m = 3         m = -1/2    (-0.5)

b = 4 + (-1/2) = 3.5

Equation: f(x) = -0.5x + 3.5

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a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
patriot [66]

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

8 0
3 years ago
Sam's take-home pay is $743. His deductions are $25 for OASDI, $5 for Medicare, and $27 for income tax. What is his gross pay?
notsponge [240]
The correct answer is $800

4 0
3 years ago
Read 2 more answers
. In Problem 2, how many lateral faces would there be if the base had
Alla [95]

The number of lateral faces for a hexagonal prism or pyramid is 6.

<h3>What is a prism?</h3>

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: brainly.com/question/23963432

6 0
2 years ago
What is the value of n in 7 + n/2 = 10
Goryan [66]
Hello!!

\frac{n}{2} + 7 = 10

n + 14 = 20

n = 6

Good luck :)
8 0
3 years ago
Write a real word problem that can be solved using the equation 5x=3x+20
Andrei [34K]
There's really no way to write this equation as a word problem . 
5 0
2 years ago
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