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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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2 years ago
Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

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x+8y=-2\\x=-2-8y

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We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

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So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

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So, we now know the value of x = 14.

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4 0
3 years ago
Consider the equation 1+n+6/n+1=4/n-2
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A. The LCD is (n+1)(n-2)

B. n = -1, n = 2

C. n = negative 1 plus or minus the square root of 73, everything divided 2.

I’ve add a picture of the answers at the bottom in case I wasn’t clear on question C.

Hope that helps.

8 0
3 years ago
Read 2 more answers
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