B.16 because 800 divided by 50 is 16
Answer:
length: 12 ft
area: 72 square feet
Step-by-step explanation:
Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...
P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify
12 = L . . . . . . divide by 3
The length of the mat is 12 ft.
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The width of the mat is L/2 = 6 ft, and the area is the product of length and width.
Area = (12 ft)(6 ft) = 72 ft^2
The area of the mat is 72 square feet.
Answer:
x = -2 y = -8
Step-by-step explanation:
13x - 6y = 22
x - y = 6
6(x-y) = 6*6
6x - 6y = 36
subtract both the equations
13x - 6x -6y + 6y = -14
7x = -14
x = -2
13*-2 -6y=22
-26 -6y=22
-6y = 48
y = -8
answer: x = -2 y = -8
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
58.4
Step-by-step explanation:
Runner 1 ran 14.85 and Runner 2 ran 14.05 from there you need to add the two together and you get 28.90. From there you can add Runner 3 and Runner 4 time together and you get 29.50.
After that you add them together and you get 58.4
I hope this helps! Let me know if you need more help on this question.