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:
A
Step-by-step explanation:
we just substitute the value of "a" given in the above expression we get
21-2(3)
21-6=15
In a sample of digits(0,1,2,3,4,5,6,7,8,9,) what is the probability that a digit is 7 or greater
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Answer:

Step-by-step explanation:
There are 10 numbers in total. Only three are 7 or greater: 7, 8, 9.
So the answer is
.
Given:
The equation is

To find:
The value of b.
Solution:
We have,

Subtracting both sides by
, we get




Therefore, the value of b is
.