The answer is h(2k - 5) = -4 - 2k
Step-by-step explanation:
In a function f(x) = y, we can find the value of y for any given value of x
Examples:
- If f(x) = 2x - 3, and we need to find f(3), that means substitute x by 3 in f(x), so f(3) = 2(3) - 3 = 6 - 3 = 3, that means f(x) = 3 at x = 3
- If f(x) = 8 - 5x, and we need to find f(a - 2), substitute x by (a - 2) in f(x), so f(a - 2) = 8 - 5(a - 2) = 8 - 5a + 10 = 18 - 5a, that means f(a - 2) = 18 - 5a at x = a - 2
∵ h(x) = -9 - x
- We need to find h(2k - 5), that means substitute x by 2k - 5
∵ x = 2k - 5
∴ h(2k - 5) = -9 - (2k - 5)
- Simplify the right hand side
∴ h(2k - 5) = -9 - 2k - (-5)
- Remember (-)(-) = (+)
∴ h(2k - 5) = -9 - 2k + 5
- Add the like terms in the right hand side
∴ h(2k - 5) = (-9 + 5) - 2k
∴ h(2k - 5) = -4 - 2k
The answer is h(2k - 5) = -4 - 2k
Learn more:
You can learn ore about the functions in brainly.com/question/5337932
#LearnwithBrainly
Answer:
<h2>w=6</h2>
Step-by-step explanation:
7w-6=3w+18 I expanded the bracket
+6 on both sides
7w=3w+24
-3w on both sides
4w=24
divide both sides by 4
w=6
Answer:
Step-by-step explanation: 4848474838387398437939743927938<em>5</em>
Answer:
r = 18
Step-by-step explanation:
r -8 = 10
r -8 + 8 = 10 + 8
r = 18
Answer:
187.5 gallons
Step-by-step explanation:
Make a proportion
= 
3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year
This gets you 187.5 gallons used in a year