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
I think the answer should be B
Answer:
a. 62 miles/hour
b. 1.25 laps/minute
Step-by-step explanation:
a. ratio of miles to the number of hours is 434 to 7 can also be written as
= 62 miles/hour
therefore rate or speed= 62 miles/hour
b. 
= 1.25 laps/minute which rate or speed
A line parallel to y=2x+4 that contains the point (3,-2) is y=2x-8. The line is parallel because it has the same slope as AB, and we can find the intercept by plugging in (3,-2) into slope-intercept form and solving for b.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−8=0
Step 2: Factor left side of equation.
(x+2)(x−4)=0
Step 3: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
