Hi
(6x-5) (2x-1) = 12x²-6x-10x+5 = 12x²-16x +5
The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

Answer:
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Explanation:
The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.
Then, the profit is equal to
p(x) = f(x) - g(x)
p(x) = 24.96x - (0.04x² + 4x + 71)
p(x) = 24.96x - 0.04x² - 4x - 71
p(x) = -0.04x² + 20.96x - 71
Therefore, the answer is
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Answer:
28 hours
Step-by-step explanation:
let the time period at which the temperature be equal in both Brownsville and Mesquite Texas be 'x'.
Given,
In Brownsville Texas, the temperature is expected to drop 1.5° each hour and In Mesquite Texas, the temperature is expected to drop 2° each hour.
Now, according to the question,
after 'x' hours,
⇒ 80° - 1.5°(x) = 94° - 2°(x)
⇒ 0.5°(x) = 14°
⇒ x = 28
Hence, Till 28 more hours the temperature in Mesquite Texas be greater than that in Brownsville.