Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
Step-by-step explanation:
(a). The median number of hours spent on Math was about 2.9 ;
The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly
We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
t = 7 + 30
t = 37 points
Answer:
Commutative property of multiplication.
Step-by-step explanation:
This property says that changing the order of factors doesn't change the product.
Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15
Answer:
11n
Step-by-step explanation:
We don't know the value of N, so we leave that the same.
3 to the second power, (3x3)= 9.
We have to add 2 to 9, so 9+2=11
Add your n to the end, and your answer is 11n.
