the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism

Mathematics

1 answer:

Oxana [17]2 years ago

7 0

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

(b^3 +3b^2) -(4b +12)

= b^2(b +3) -4(b +3) . . . factor each pair of terms

= (b^2 -4)(b +3) . . . write as a product

= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

You might be interested in

If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb, bbg, bgb,

MaRussiya [10]

There are two choices for each child: overweight (o) or underweight (u). So if the first child is o the next can be o or u. If the first is u the second can be o or u. This gives four possibilities. Here the first child is the letter noted first and the second is the one listed second:
OO
OU
UO
UU

There are 4 outcomes and if each is equally likely then the probability of each is 1/4. Thus the probability of UU is 1/4

The probability of one underweight and one over weight is 1/2 because in two of the outcomes listed above there is one O and one U (namely OU and UO). Since there are 4 outcomes the probability is 2/4 = 1/2

5 0

3 years ago

Find the slope of the line graphed below

igomit [66]

We are given two points: (-1, -1) and (1, -4). Slope is calculated as the change in y over the change in x, or rise over run.

The change in y is the difference of the two y coordinates (it doesn't matter the order): -1 - (-4) = 3

The change in x is the difference of the two x coordinates (this order depends on the order that you subtracted the y coordinates; they must be the same order): -1 - 1 = -2.

So, the slope is 3/-2

4 0

3 years ago

Read 2 more answers

So I need help with this. Why Do we seat?

r-ruslan [8.4K]

Answer:

When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.

Step-by-step explanation:

hope this helps

6 0

2 years ago

Just before leaving on the trip, two of Eric’s friends have a family emergency and cannot go. What is each person’s share of the

Vesnalui [34]

Answer: $2.67 per person

Step-by-step explanation: Well hello again, so the question said two of his friends had an emergency now there are three people left going to New York including Eric himself. So, the equation is 8 ÷ 3 = ?. Now we solve the equation 8 ÷ 3 = ? which is $2.67.

8 0

3 years ago

3. Why does it tako 3 copies of; to show the same amount as 1 copy of ?? Explain your answer in words

Amanda [17]

Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.

7 0

2 years ago