Answer:
F. 6s > 4s +8
Step-by-step explanation:
From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.
From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.
For Heskey's distance to exceed Ward's distance you want ...
6s > 4s +8 . . . . . . matches choice F
Answer:
<em><u>The answer is m(x) </u></em><em><u>= -7x =</u></em><em><u>A function will only have an inverse function if the function is one-to-one. If you graph the function out and it passes the horizontal line test, it is one-to-one. Only the function m(x) = -7x will have an inverse that is a function. The graph of y = m(x) is a linear function. Linear functions pass the horizontal line test (it's symmetric about the y-axis). The function does not have an inverse that is a function because the graph of b(x) is parabolic. It will fail the horizontal line test when you graph it out. The function does not have an inverse that is a function because the graph of d(x) is a horizontal line. A horizontal line fails the horizontal line test because it is a horizontal line. The function does not have an inverse that is a function because the graph of p(x) fails the horizontal line test (it's symmetric about the y-axis).</u></em>
Answer: B
Work:
Since the general formula of an arithmetic sequence is f(n) = (the first term) + (common difference)*(n-1), you just plug in what was given to you in the problem to that equation. The first term is -20 and the common difference is +15 since the the increase from one term to the next is 15. Doing so produces the equation f(n) = -20 + 15(n-1), which is choice B.
Answer:
V = 3,386,880 cubic yards
V = 91445760 cubic feet
V = (1/3) · b2 · h so 1/3 x 756^2 x 480 = 91445760 ft^3
Answer = 91445760 ft^3
Step-by-step explanation:
converting feet into yards
let
1 yard = 3 ft
1 ft = (1/3) yard
a = 756 ft = 756*(1/3) yards the length of the side of the square base
h = 480 ft = 480*(1/3) yards the height of the pyramid
a.) the volume of the pyramid V = (a^2*h)/3 = (a^2*h)(1/3)
V = (756*(1/3))^2*480*(1/3)*(1/3)
V = 3,386,880 cubic yards
