Answer: -8x^3y^2 (choice B)
The coefficients multiply to 4 times -2 = -8
the x terms multiply to x^2 times x = x^(2+1) = x^3
The y terms multiply to y times y = y^(1+1) = y^2
So that's how I ended up with -8x^3y^2
Answer:$56.04
Step-by-step explanation: just add them all
Answer:
C) 52 in^3
Step-by-step explanation:
The first is to determine the formula of the volume of the box, which would be the following:
V = height * length * width
Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:
length = 10 - 2 * x
width = 8 - 2 * x
height = x
Now we calculate the volume:
V = x * (10-2 * x) * (8-2 * x)
To determine the maximum volume we will give values to x in order to see how it behaves:
Let x = 2.5
V = (5) * (3) * (2.5) = 37.5
Let x = 2
V = (6) * (4) * (2) = 48
Let x = 1.5
V = (7) * (5) * (1.5) = 52.5
Let x = 1
V = (8) * (6) * (1) = 48
Let x = 0.5
V = (9) * (7) * (0.5) = 31.5
It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3
Answer:
k = -13
Step-by-step explanation:
-4(k +2) = -k +31
you multiply the bracket by -4
-4k-8 = -k+31
Collect the like terms
-4k+k = 31+8
-3k =39
divide both sides by -3
k = -13
Answer:
three dived by a number x
Step-by-step explanation: