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
max2010maxim [7]
3 years ago
15

The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

Height = x - 5 --- one of the dimension

Step-by-step explanation:

Given

Volume = 4x^3 - 20x^2 + 3x - 15

Required

The side dimension

Factorize the given expression

Volume = 4x^2 (x- 5) + 3(x - 5)

Factor out x - 5

Volume = (4x^2  + 3)(x - 5)

Volume is the product of base area and height'

Hence:

Area = 4x^2 + 3

Height = x - 5

You might be interested in
You want to buy some rice. A 7-ounce package costs 2.59. A 12- ounce package costs $4.56. An 18-ounce package costs 6.30 which p
Reika [66]

Type 1 rice :

7-ounce package costs = 2.59.

Cost of 1-ounce of Type 1 rice= 2.59/7 = $0.37

Type 2 rice :

12-ounce package costs = $4.56  

Cost of 1-ounce Type 2 rice = 4.56/12 = $0.38

Type 3 rice :

18-ounce package costs  = $ 6.30

Cost of 1-ounce Type 3 rice = 6.30/18 = $0.35.

From the above calculations, we can see that the cost of 1-ounce Type 3 rice is lowest. Therefore, 18-ounce package is Best Buy.

6 0
3 years ago
One more than 5 times a number is less than or equal to 10. Find all such numbers.
NemiM [27]
Let the number be x
Form the equation : 5x + 1 ≤ 10
5x ≤ 10-1
5x ≤ 9
X ≤ 9/5
so X can be 9/5 or any values smaller than that.

hope this helps :)
7 0
3 years ago
Read 2 more answers
On Saturday, $585 was collected from the sale of 55 tickets for a performance. Adult tickets are $12 and student tickets cost 25
geniusboy [140]
12(.25)= 3. 12-3= 9 for student tickets

x = adult tickets

y = student tickets

x + y = 55

12x + 9y= 585

-12x - 12y = -660

-3y = -75

3y = 75

y = 25 student tickets

x + 25 = 55

x = 30 adult tickets
7 0
3 years ago
Factor:<img src="https://tex.z-dn.net/?f=27x%5E3%2B8" id="TexFormula1" title="27x^3+8" alt="27x^3+8" align="absmiddle" class="la
irinina [24]

Answer:

(3x + 2)(9x^2 - 6x + 4)

Step-by-step explanation:

Simple Question.

27x^3 + 8 = (3x)^3 + (2)^3

You can now apply the sum of the cubes formula:

x^3 + y^3 = (x + y)(x^2 - xy + y^2),

(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)

                      =  (3x + 2)(9x^2 - 6x + 4)

Solution: (3x + 2)(9x^2 - 6x + 4)

6 0
2 years ago
A right triangle has one leg that is 15 meters long and a hypotenuse that is 39 meters long. What is the length of its other leg
KiRa [710]
39^2 - 15^2 = 1296 (square rooted) = 36
7 0
2 years ago
Other questions:
  • If f(x) = 2x + 6 and g(x) = -4x - 8 find f(g(x)) = ?x+?
    5·1 answer
  • What is one quarter of 2/3?
    11·2 answers
  • -3.1+7-7.4x=1.5x-6(x-3/2)
    10·2 answers
  • (3x + 10y 2-20<br> { 3x + 2y &gt; 4
    6·1 answer
  • Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread cov
    10·1 answer
  • Which of the following is NOT a valid definition of a derivative?
    5·2 answers
  • Que número presenta el que indica la fecha​
    10·1 answer
  • ⚠️Answer needed quickly⚠️<br> *Brainliest to right answer*
    5·1 answer
  • Students have a height is less than what number 58?62?64?70?
    6·1 answer
  • What is the value of x in the equation 8 + x = 3?<br><br> A. −5<br> B. 5<br> C. 11<br> D. 24
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!