Answer:
373248 cm³ of wax
Step-by-step explanation:
If the crayon is 90 millimeters long, how many cubic centimeters of wax is used to make a box of 8 crayons?
1 crayon = 90mm
8 crayons = x
Cross Multiply
x = 8 × 90mm
x = 720mm
Converting to cubic mm
= (720mm)³ = 373248000mm³
Converting to cubic centimeter
1 mm³ = 0.001 cm³
373248000 mm³ = x
Cross Multiply
373248000 × 0.001 cm³
= 373248 cm³ of wax
Answer:
C. 8 units to the left of 4
Step-by-step explanation:
We are asked to find the the position of 
located on a horizontal number line.
We know that negative numbers are located on the left side side of number line and positive numbers are located on the right side of number line.
4 will be located to the 4 units right from zero and negative 8 will be located 8 units left from 8.
Therefore, option C is the correct choice.
We have the function:
f(x) = 3x / (x + 7)
(a)
We rename the function as: f(x) = y
Then:
y = 3x / (x + 7)
Taking the inverse:
1/y = (x + 7) / 3x
1/y = x/3x + 7/3x
1/y = 1/3 + 7/3x
Solving for x:
1/y - 1/3 = 7/3x
1/x = 3/7y - 1/7 = (3 - y) / 7y
Taking the inverse:
x = 7y / (3 - y)
Then, the inverse function of f is:
f ⁻¹(x) = 7x / (3 - x)
(b)
We know that the division by 0 is undefined in real numbers. From the function f, we have a division by 0 if x = -7, so the domain should be:
Dom_f = {x| x ≠ -7}
For the range, we know that x = -7 is a vertical asymptote of the function f, so this means that the graph never passes across x = -7, but it tends to it on infinity. Then, the range of f is:
Ran_f = All the real numbers
For f ⁻¹(x), we see that for x = 3 there is a division by 0, so this is an asymptote of the function. Then, the domain of f ⁻¹ is:
Dom_f ⁻¹ = {x| x ≠ 3}
Again, as there is an asymptote, the range is:
Ran_f ⁻¹ = All the real numbers
Answer:
21
Step-by-step explanation:
6÷2=3
7×3=21
hope u will understand
