tommkop2008 tommkop2008
  • 02-05-2022
  • Mathematics
contestada

The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2022

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

Answer Link

Otras preguntas

At the end of world war 2 there was only one superpower who was it
What is the measure of ∠ABD?
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000. What is this cost called? A. property taxes B. down payment C. secur
Step by step on how to find limiting reactant, with an example please!
Juwad picked 30 bags of apples on Monday and sold them at his fruit stand for $3.45 each.the following week he picked and sold 26bags
A washer and dryer cost 715 combined. The washer cost 35 less than the dryer. What is the cost of the dryer?
who helped in the designing Washington DC
what is the elimination method for 3x-2y=7 x+y=-1
HEEEELLLLLLPPPPPPP!!!!!! PLZ Which kind of weather usually forms over the Northwest United States in the summer because of maritime polar air masses? A. fog B.
For how many integers $n$ is it true that $\sqrt{n} \le \sqrt{4n - 6} < \sqrt{2n + 5}$?