Answer:
<h3>
y = 2(x - 3)² - 20</h3>
Step-by-step explanation:
y = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
So the equation of the parabola with vertex (3, -20):
y = a(x - 3)² + (-20)
y = a(x - 3)² - 20
The parabola passes through point (7, 12) so if x=7 then y=12
12 = a(7 - 3)² + (-20)
12 +20 = a(4)² - 20 +20
32 = 16a
a = 2
Therefore the equation of the parabola with vertex (3, -20) and that passes through point (7, 12):
y = 2(x - 3)² - 20
Answer:
5.5 gallons if the guests only drink 2 cups
Step-by-step explanation:
There are 16 cups in 1 gallon
There are 20 guests
Each guest will drink 2 cups
20*2=40
40 cups is equivalent to 2.5 gallons
You then take the original 8 gallons and subtract 2.5 from 8 and you get the answer
Answer:
- 59
Step-by-step explanation:
-3 - 56 = -59
(positive and a negative make a negative)
Rounding to the nearest 10 means if the digit to the right of the 10s collum is 5 or more round up. if less than 5 round down.
605.8
610 is the answer as 5 is rounded up
Answer:
Option C
Step-by-step explanation:
Given function is,
f(x) = 9x² - 12
Steps to find the inverse of the given function,
Step 1,
Write the function in the form of an equation,
y = 9x² - 12
Step 2,
Interchange variables 'x' and 'y' in the equation,
x = 9y² - 12
Step 3,
Solve this equation for 'y',
x = 9y² - 12
9y² = x + 12
Here, x > -12
Step 4,
Covert this equation into function,
Therefore, Option C will be the answer.