Answer:
See below.
Step-by-step explanation:
f(x) has local minimum values at x = -2 and x = 3.
The local minimum values of f(x) are -3 and 0.
Answer:
11
Step-by-step explanation:
C²=23
2C=0
C=2
Substitute C=2 in the first equation 2C=23
2C=23
C=11.5
Approximately C=11
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer: you will use the cosine rule
Step-by-step explanation:
x^2=11^2+8^2-2(11)(8)xcos(16)
x^2=185-169.18
x^2=15.8
Take square root
x=3.96 or 4
