Write a linear function f with the values f (0) =4 and f(3)=-8

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

You might be interested in

Select the correct answer.

andrew11 [14]

Answer: 45

Explanation:
The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement. Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle.

5 0

3 years ago

Point slope form of (-12,8), (3,3)

kiruha [24]

Answer: y - 3 = -1/3 (X - 3)

Step-by-step explanation:

So you find the slope with Y1-Y2/X1-X2 to get -1/3 then you use the point slope equation Y - Y1 = M( X - X1)

3 0

3 years ago

9-x-x=-1<br> Solve for x

astra-53 [7]

x = 2