Answer:
1512
Step-by-step explanation:
18 times 21 times 8 = 3024
since it's a triangular prism, u half it
3024 div 2 = 1512
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y = 0.5x
when x = 12
y = 0.5 · (12)
y = 6
when x = 0
y = 0.5(0)
y = 0
when x = 8
y = 0.5(8)
y = 4
when x = 12
y = 0.5(12)
y = 6
Thus, the table is completed such as:
x y
0 0
8 4
12 6
Therefore, the ordered pairs that complete the equation y = 0.5 x are:
The graph of the equation is attached below.
12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.
Hope this helps =)
Given:
The function is

To find:
The inverse of the given function.
Solution:
We have,

Substitute m(x)=y.

Interchange x and y.

Add square of half of coefficient of y , i.e.,
on both sides,


![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Taking square root on both sides.

Add
on both sides.

Substitute
.

We know that, negative term inside the root is not real number. So,


Therefore, the restricted domain is
and the inverse function is
.
Hence, option D is correct.
Note: In all the options square of
is missing in restricted domain.
Answer:
15 + 2.05 x = 2.35 x
Step-by-step explanation:
Let x be the number of gallons you would have to buy for the two places to be the same.
At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.
We can write an expression: 15 + 2.05 x
At the gas station, they charge $2.35 per gallon with no other fees.
We can also write an expression: 2.35 x
For the prices to be the same, we have 15 + 2.05 x = 2.35 x
If we were to solve, then we have:
(2.35 - 2.05) x = 15
x = 15 / 0.3 = 50 gallons