Whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
Answer:
47
Step-by-step explanation:
251+31= 282
282 divided by six = 47
Answer:
The answer to your question is: the last option
Step-by-step explanation:
m² - 6m + 6m -36
Simplify like terms m² - 36
Factor (difference of squares) (m + 6) (m - 6)
Answer:

Step-by-step explanation:
Remember:
![(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da%5C%5C%5C%5C%28a%2Bb%29%3Da%5E2%2B2ab%2Bb%5E2)
Given the equation
, you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:


Simplifying, you get:

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

Then:

Let's check if the first solution is correct:

(It checks)
Let's check if the second solution is correct:

(It does not checks)
Therefore, the solution is:

The solution is x=3/4
How can we solve given equation?
First, we will solve like terms. Then shift constant to other side and keep x on the same side to get the value of x.
We can solve given equation as shown below:
5/2-3x-5+4x=-7/4
(5-10)/2+x=-7/4
-5/2+x=-7/4
x=5/2-7/4
x= (10-7)/4
x=3/4
Hence, the solution is x=3/4.
Learn more about Linear equations here:
brainly.com/question/43297
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