Given = rectangular prism of measure 7.5 cm by 12 cm by 15.5 cm.
i.e length = 7.5 cm
breadth = 12 cm
height = 15.5 cm
Find out volume of the rectangular prism.
To proof -
Formula
Volume of the rectangular prism = length× breadth× height
= 7.5× 12× 15.5 cm³
= 1395 cm³
The volume ofthe rectangular prism become 1395 cm³.
Hence proved
Y = (2/5)x + 0
The answer is y = (2/5)x
I think the answer might be 6p^2+3p-63
By definition we have the average rate of change is:
AVR = (f (x2) -f (x1)) / ((x2) - (x1))
Then, for each function we have:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Answer:
The correct order of the functions from least to greatest is:
1) g (x)
2) f (x)
3) h (x)
Answer:
![\left[\begin{array}{ccc}1&\frac{3}{4}\\2&\frac{9}{16}\\3&\frac{27}{48}\\4&\frac{81}{144}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cfrac%7B3%7D%7B4%7D%5C%5C2%26%5Cfrac%7B9%7D%7B16%7D%5C%5C3%26%5Cfrac%7B27%7D%7B48%7D%5C%5C4%26%5Cfrac%7B81%7D%7B144%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:

It is basically substituting the numbers in the function.
For 1, it will be




Same for the rest.