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
professor190 [17]
3 years ago
11

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

angular prism is 450 cubic inches. The equation 2x3+8x=450 can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.4 inches 5 inches 9 inches 10 inches

Mathematics
2 answers:
hram777 [196]3 years ago
7 0
Check the picture below.

from that system of equations, we get x ≈ 5.84.

recall that for a system of equations, the solution is where the graph meet.

AfilCa [17]3 years ago
6 0

Let

x-------> the length side  of the original cube

we have

2x^{3} +8x=450\\2x^{3}=450-8x

Divide by 2 both sides

x^{3}=225-4x

The system of equations is equal to

y=x^{3} --------> equation 1

y=225-4x --------> equation 2

using a graphing tool

see the attached figure  

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

x=5.86\ in

therefore

<u>the answer is</u>

5.86\ inches


You might be interested in
-2.7f + 0.3f - 16 - 4=
suter [353]

Answer:

-2.4f or -8 1/3

Step-by-step explanation:

I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20

If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3

3 0
2 years ago
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
2 years ago
Suzy bought a 20 ounce
Mkey [24]

Answer:

Suzy got the best deal per once

Step-by-step explanation:

8 0
2 years ago
What identity can be used to rewrite the expression 4x^2-9
tankabanditka [31]
You cannot factor it, so there is no simplification. The Constants "4" and "9" do not share a common factor, therefore, you cannot simplify it. However, if it was a number such as "8" replacing "9", then you can simplify by doing:

4(x^2 - 2) = 4x^2-9
4 0
3 years ago
Read 2 more answers
Pls help me !!! Find the volume of the cylinder. Either enter an exact answer in terms of 7 or use 3.14 for T.
jeka57 [31]
Volume of cylinder = pi r^2 h
= 3.14 x 3^2 x 2
= 3.14 x 9 x 2
= 28.26 x 2
= 56.52 units^3
7 0
3 years ago
Other questions:
  • Solve for X<br> -5x=45<br><br> A 225 <br> B 9 <br> C -9<br> D 45
    7·1 answer
  • One line passes through the points (2,1) and (5,7). Another line passes through points (-3,8) and (8,3). Are the lines parallel,
    9·2 answers
  • If the probability density of a random variable is given by find the probabilities that a random variable having this probabilit
    6·1 answer
  • What percent of 700 is 385
    10·1 answer
  • What is the values og 9s in 9,905,482
    9·1 answer
  • A women from England sneezed 978 days in a row. About how many weeks did sh sneeze in a row? What units of time do you need to c
    5·1 answer
  • What is the equation of a line perpendicular to the line given by y = (3/7)x+ 9
    11·1 answer
  • Original price: $80; Markdown: 36%
    8·2 answers
  • 20 points answer this randomly!<br><br> Birthday?
    6·1 answer
  • Will give BRAINLIEST
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!