Respuesta :

Answer:

-4

Step-by-step explanation:

So we are given f(t)=-2t+5.

We are asked to find the value a such that f(a)=13.

If f(t)=-2t+5, then f(a)=-2a+5.  I just replaced old input,x, with new input, a.

So we want to solve f(a)=13 for a.

f(a)=13

Replace f(a) with -2a+5:

-2a+5=13  

Subtract 5 on both sides:

-2a    =8

Divide both sides by -2:

 a       =-4

Check:

Is -2t+5=13 for t=-4?

-2(-4)+5=8+5=13, so yep.

The value of t is -4 for which the function will give 13 as output.

What is a function?

A mathematical relationship from a set of inputs to a set of outputs is called a function.

How to find the value of t so that the function gives 13 as output?

The given function is F(t) = -2t+5

  • To get the value of t we should equate the function with 13.

So,   -2t + 5 = 13

⇒  -2t = 8

⇒ t = -4

So, for the value of t = -4 the given function will give the output 13

Find more about "Functions" here: brainly.com/question/4025726

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