Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
Please write out the entire question so we can do our best to help assist you in finding the most logical answer.
Hope this helps!
Answer:
x = 7 and 3/2
Step-by-step explanation:
We can say:
x - 7 = 0 and 2x - 3 = 0
<em>Lets solve for x - 7 = 0 first:</em>
Add 7 to each side of "="
=> <u>x = 7</u>
<em>Now lets solve for 2x - 3 = 0</em>
First add 3 to each side of "="
=> 2x = 3
Now divide each side by 2
<u>=> x = 3/2</u>
Hope this helps!
Answer:
x = 6/5 or x = -2
Step-by-step explanation:
We need to solve:
|5x+2|=8
We know that |u|=a the u = a and u = -a
Now solving:
|5x+2|=8
5x +2 = 8 or 5x +2 = -8
5x = 8-2 or 5x = -8-2
5x = 6 or 5x = -10
x = 6/5 or x = -10/5
x = 6/5 or x = -2
So, x = 6/5 or x = -2
Answer:
D.The function is decreasing for all real values of x where x < 1.5
Step-by-step explanation:
The vertex is at x=1.5, so the function is decreasing on one side of that and increasing on the other. Any answer choice with some number other than 1.5 as the boundary of increasing/decreasing can be ignored.
Of course one descriptor (<em>increasing</em> or <em>decreasing</em>) is not applicable for any interval that includes the point where the slope changes sign.
The function is decreasing for all real values of x where x < 1.5.
