Answer:
x = 1 ±√89
Step-by-step explanation:
We have the equation:
(x+7)(x-9) = 25
Using distributive property:
x(x-9) + 7(x-9) = 25
x²- 9x + 7x - 63 -25 = 0
x²- 2x - 88 = 0
To complete squares we need to add and subtract 1, as follows:
x²- 2x - 88 +1 -1 = 0
x²- 2x +1 -88 -1 = 0 (this is a perfect square)
(x - 1)² - 89 = 0
Solving for x:
(x - 1)² = 89
x - 1 = ±√89
x = 1 ±√89
Answer:
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Step-by-step explanation:
Answer: The correct answer is Choice B.
To factor this expression, we should first factor out the variable x.
We will have:
x(x^2 + 4x - 5)
Now, all we have to do is factor x^2 + 4x - 5.
The factors of this are (x + 5)(x - 1).
If you put all of the factors together, you have: x(x + 5)(x - 1) or Choice B.
The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
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