Given:
The volume of the rectangular prism is

,
the height is h=(b+3)
1. The volume of a rectangular prism is (base area)*height
also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be
2

notice that

is the product of the largest 2 terms:

and b, so m must be 1
also, notice that 12 is the product of the constants, k and 3
so k*3=12, this means k=4
3
we write the above equality again:


=

4
now compare the coefficient with the left side:

8=n+3
n=5
substituting n=5:
the base area is

Answer:
Answer:
5
Step-by-step explanation:
8x - 6 > 12 + 2x
Subtract 2x from each
8x -2x -6 > 12+2x-2x
6x -6 > 12
Add 6 to each side
6x -6+6 > 12+6
6x > 18
Divide by 6
6x/6 > 18/6
x > 3
The only value greater than 3 is 5
Slope = -4/5
to calculate the slope m use the gradient form
m = y2 -y1
————
x2 - x1
let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)
m = 5 - 1 4
———- = ——-
-2 - 3 -5
= - 4/5
Answer:
0
Step-by-step explanation:
3ab + 5b - 6 when a = -1 and b is 3
→ First substitute a and b into 3ab
3 × -1 × 3 = -9
→ Substitute b into 5b
5 × 3 = 15
→ Connect all the terms together
-9 + 15 - 6
→ Simplify
0
Answer:
the answer is z=63
Step-by-step explanation: