Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
Answer:
3 = 1
4= 5
5 = 2
Step-by-step explanation:
Add the boxes with each number to get the answer
12.5%
<span>to convert from percent to decimal: divide by 100, and remove the "%" sign.
</span>
12.5 ÷ 100 = 0.125
Answer:
452.16 cm³
Step-by-step explanation:
I assume the shape of the volcano is a cone.
V = (1/3)πr²h
r = d/2 = 12 in./2 = 6 in.
V = (1/3)(3.14)(6 in.)²(12 in.)
V = 452.16 in.²
8(51) = 8(50 + 1) = 8(50) + 8(1) = 400 + 8 = 408