Answer: 4
Solving Steps:
2x-y=11
x+3y=-5
-2x-y=11
-2x-6y=10
-7y=21
y=-3
x+3(-3)=-5
x=4
Answer:
Average value of the function over the interval is 3.
Step-by-step explanation:
Average value of the function y = 2x³ - 3x² over the interval (-1, 3) will be defined by the area under curve for the given interval divided by width of the interval.
A = 
= ![[\frac{2x^{4}}{4}-\frac{3x^{3}}{3}]^{3}_{(-1)}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B2x%5E%7B4%7D%7D%7B4%7D-%5Cfrac%7B3x%5E%7B3%7D%7D%7B3%7D%5D%5E%7B3%7D_%7B%28-1%29%7D)
= ![[\frac{x^{4}}{2}]^{3}_{-1}-[x^{3}]^{3}_{-1}](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%5D%5E%7B3%7D_%7B-1%7D-%5Bx%5E%7B3%7D%5D%5E%7B3%7D_%7B-1%7D)
= ![[\frac{3^{4}-(-1)^{4} }{2}]-[3^{3}-(-1)^{3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E%7B4%7D-%28-1%29%5E%7B4%7D%20%7D%7B2%7D%5D-%5B3%5E%7B3%7D-%28-1%29%5E%7B3%7D%5D)
= ![[\frac{81-1}{2}]-[27+1]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B81-1%7D%7B2%7D%5D-%5B27%2B1%5D)
= 
= 12
Width of the interval = 3 - (-1) = 4
Average value = 
Therefore, average value of the function over the given interval is 3.
AE x BE = DE x CE
6x5 = 30
6 x DE = 30
DE = 30/6 =5
DC = DE +CE = 5+6 =11
Answer is C) 11
B would be the right answer because there are 12 inches in a foot.
64 divided by 12 is 5 with a remainder of 4 '
5 ft. 4 in.
B