1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liula [17]
3 years ago
12

The volume of a rectangular box is found by multiplying its length, width, and height: V = lwh. A certain box has a volume of b

3 + 3b 2 - 4b - 12. Factor the four-term polynomial to find the dimensions of the box. Hint: Use factoring by grouping to factor the four term polynomial first.
Mathematics
2 answers:
dlinn [17]3 years ago
6 0

Answer:

The dimensions of the box are (b+3), (b-2) and (b+2).

Step-by-step explanation:

The volume of a rectangular box is

V=l\times w\times h    

The volume of a certain box is

V=b^3+3b^2-4b-12

First of all find the factors of above expression by grouping method.

V=b^2(b+3)-4(b+3)

V=(b+3)(b^2-4)

V=(b+3)(b^2-2^2)

V=(b+3)(b-2)(b+2)                 [\because a^2-b^2=(a+b)(a-b)]  

Volume of a rectangle is the product of its dimensions, therefore the dimensions of the box are (b+3), (b-2) and (b+2).

vlada-n [284]3 years ago
5 0
I think its (b+3) (b+2) (b-2) maybe wrong not sure
You might be interested in
A survey of high school juniors found that 82% of students plan on attending college. If you pick three students at random, what
cupoosta [38]
<span> binomdist with n = 3, p = 0.82, q = 1-0.82 = 0.18
P[≥2] = P[2] + P[3] = 3c2 *0.82^2*0.18 + 0.82^3 ≈ 91%
hope it helps
</span>
6 0
3 years ago
Read 2 more answers
Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two
Zigmanuir [339]

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let (-11,7) be x_1 and y_1, and (-5,1) be x_2 and y_2

Plug in the numbers:

d=\sqrt{(-5-(-11))^2+(1-7)^2

d=\sqrt{6^2+(-6)^2}

d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8

4 0
3 years ago
Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?
patriot [66]
<span>Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

If we want to get a full understanding of this question we must use the information given.

If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.

</span>\frac{80}{2}=40

or $40

We can also use $160 and 4 hours

\frac{160}{4}=40

or $40

So the rate per hour is $40

8 0
3 years ago
Read 2 more answers
Determine the rate: 6,000 miles in 3 hours
zmey [24]

Answer:

6,000:3

Step-by-step explanation:

6 0
2 years ago
The tourists went in the first hour with a speed of 3.5km/h to the bus station, realizing that they would arrive 1 hour late at
mestny [16]
The answer should be 4.25km
7 0
3 years ago
Other questions:
  • The equation y=4/3x represents a proportional relationship.
    12·1 answer
  • Which angles are corresponding angles?
    13·1 answer
  • 2a² - a - 13 =2 I want to see the steps how its done​
    7·1 answer
  • If 30 marks is 40% what is full marks
    10·2 answers
  • Help, linear inequalities on a graph problem in photo below AWARDING MORE POINTS
    6·1 answer
  • Which of the following would be the last step in evaluating the problem 7+5(6-2)%2
    6·1 answer
  • For how long will the Tokyo Olympics be delayed?
    9·1 answer
  • Evaluate the expression. 33 + 35 - 8 x (16 ÷ 4)
    7·2 answers
  • Scenario
    14·1 answer
  • Write 1,200 as a product of its prime factors.​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!