Answer:
It's choice B.
Step-by-step explanation:
When r= -11,
x^2 + 8x - 33 = (-11)^2 - 88 - 33
= 121 - 88 - 33
= 0
- so x = -11 gives a zero value and is a solution to the equation.
Answer: Marci: 60 minutes
Bobby: 30 minutes
Max: 90 minutes
Step-by-step explanation:
50% of 60 is 30.
100% of 60 is 60, plus 50% is 60+30, which gets you 90.
-5^4
= -625
-5 • -5 • -5 • -5 = -625
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:
Step-by-step explanation:
-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.
-Given the set 
we notice, that the GCF can't be an integer with the power of x greater than 2:
Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is 
