Answer:
c-c+a+|a|
5-5+4+|4|
8
Step-by-step explanation:
Answer:
First one: Function
Second one: not a function (a function cannot have two outputs)
Third one: Function
Last one: Not a function (doesn't pass vertical line test)
Step-by-step explanation:
Hope it helps!
Answer:
Im on the same question so dont copy word for word
Step-by-step explanation:
The first error he made is that he didn't do the right steps in order to find the area of the two triangles. Instead he should have done 0.5 X 16 X 15 X 2= 240
Then the area for the three rectangles should be 16 X 8 + 17 x 8 + 17 X 8 = 400
If you add it all together, the surface area is actually 640 square meters.
3x+7=3x+2 (cancel equal terms)
7=2 ( the statement is false)
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.