So, multiply the terms with equal exponents by multiplying their bases.
So, (2^7 × 4^7)^3 becomes [(2×4)^7]^3
Then, just multiply the numbers.
(8^7)^3
Then, simplify the expression by multiplying the exponents. So, the answer should be 8^21 or eight to the 21st power.
A trapezoid (also known as a trapezium) is a 4-sided shape with two parallel bases that are different lengths. The formula for the area of a trapezoid is A = ½(b1+b2)h, where b1 and b2 are the lengths of the bases and h is the height. Hope it helps :)
Answer: 3x+2/3
Step-by-step explanation: Given that f(x)=x-1/3 and g(x)=3x+1
(fog)(x) is the composition of the functions f and g.
(fog)(x)=f(g(x))
=f(3x+1) (In the function f(x) where there is x we substitute the x by
3x+1) so that
(fog)(x) =3x+1-1/3
=3x+2/3
Answer:
$110
Step-by-step explanation:
We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:
We can substitute the points given, (2, 480) and (5, 150) and simplify:
We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110
