complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
1. group x terms, so for y=ax^2+bx+c, do y=(ax^2+bx)+c
<span>
<span>
</span>
2, factor out the leading coefinet (constant in front of the x^2 term), basicallly factor out a
</span><span>
<span>
</span>
3. take 1/2 of the linear coefient (number in
front of the x), and square it ,then add negative and positive of it
inside parnthases
</span><span>
<span>
</span>
4. complete the squre and expand
</span>
so
y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)
Answer:
y= -2x+4
Step-by-step explanation:
Answer:
8x - 6 = x + 9 : Given
7x - 6 = 9 :Subtraction property of equality
7x = 15 : Addition property of equality
x = 15/7 : Division property of equality
x = 2.143
Step-by-step explanation:
Match the properties with the steps to solving the following equation.
(8x - 6) = x + 9
8x - 6 = x + 9 : Given
8x - x - 6 = x + 9 - x
7x - 6 = 9 :Subtraction property of equality
7x - 6 + 6 = 9 + 6
7x = 15 : Addition property of equality
7x/ 7 = 15/7
x = 15/7 : Division property of equality
x = 2.143
Answer:
$221.07
Step-by-step explanation:
To find the discount price, you do 329.95*.67= 221.0665
221.0665 is rounded to 221.07
Hope this helps!
The answer would end up being 0.01323
