Answer:
The weighted average is of 69.94.
Step-by-step explanation:
Weighted average:
The weighed average is found multiplying each grade by its respective weight.
The grades, and weights are:
67 on the lab, with a weight of 23% = 0.23
69 on the first major test, with a weight is 21.5% = 0.215
85 on the second major test, with a weight is 21.5% = 0.215.
63 on the final exam, with a weight of 34% = 0.34.
Weighted average:
![A = 0.23*67 + 0.215*69 + 0.215*85 + 0.34*63 = 69.94](https://tex.z-dn.net/?f=A%20%3D%200.23%2A67%20%2B%200.215%2A69%20%2B%200.215%2A85%20%2B%200.34%2A63%20%3D%2069.94)
The weighted average is of 69.94.
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:
x=-8 x=-12
Step-by-step explanation:
Divide 3 to both sides
|x+10|=2
Set x+10 to equal 2 and -2
x+10=2 x+10=-2
solve both equations
x=-8/-12
Answer:
60 × 50 = 3000
7 × 50 = 350
60 × 4 = 240
7 × 4 = 28
3000 + 350 + 240 + 28 =3618
54 × 67 = 3618
Answer:
B
Step-by-step explanation:
when you flip across the y axis you change the signs of the x coordinate but not the y coordinate.