Answer: 7) Max: y = 52
8) Min: y = -51
<u>Step-by-step explanation:</u>
The Max/Min is the y-value of the intercept.
- Max is when the a-value is negative.
- Min is when the a-value is positive.
First, find the x-value of the vertex using the Axis of Symmetry formula:
x = -b/2a. Then plug the x-value into the equation to find the y-value.
7) y = -2x² - 16x + 20
↓ ↓ ↓
a= -2 b= -16 c=20
Max: y = -2(-4)² - 16(-4) + 20
= -2(16) + 64 + 20
= -32 + 84
= 52
*********************************************************************************************
7) y = x² + 12x - 15
↓ ↓ ↓
a= 1 b= 12 c= -15
Max: y = (-6)² + 12(-6) - 15
= 36 - 72 - 15
= 36 - 87
= -51
Answer: B) established a strong, central government
4y+7x-3y+2x
(7x+2x)+(4y+-3y)
=9x+y
Answer:
See below
Step-by-step explanation:
First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:
1.5 M = 984 O, this is our equivalence.
Now divide both sides by 1.5
1.5 M / 1.5 = 984 O / 1.5
1 M = 656 O
So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:
12 m = 656 O
If we divide both sides by 12:
m = 656/12 O
m = 56.67
So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.
Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:
56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.
Scale: 1 inch = 56.67 feet
Answer:
4√6 or 9.798 to the nearest thousandth.
Step-by-step explanation:
This is √(8*12)
= √96
= √16*√6
= 4√6.
