Step-by-step explanation:
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
y = -4x -1
Step-by-step explanation:
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = -4x -1
Answer:
20
Step-by-step explanation:
<u>15</u> = <u>75</u>
x 100 (then cross multiply below)
---------------------------
<u>1,500</u> = <u>75x </u>
75 75
20 = x
Answer:
28
Step-by-step explanation:
