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
sergey [27]
3 years ago
15

If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can

give you a thanks.

Mathematics
1 answer:
valina [46]3 years ago
3 0

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

  • L = length = x+5
  • W = width = x+4
  • H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

You might be interested in
Which link between two elements could you remove from the relation so that it becomes a function? 1 and c or 3 and a 4 and d or
shtirl [24]
It would make more sense to remove 4 and D

8 0
3 years ago
Read 2 more answers
Answer this <br> then i will mark u as brainliest
sashaice [31]

Answer:

A, it will decrease by 90.

Step-by-step explanation:

If the number is 92,320 and you interchange 2 and 3, you would get 92,230. 320-230 equals 90, therefore giving you the answer.

5 0
2 years ago
If Two-thirds = x over 12 , what is the value of x?
SVEN [57.7K]

Answer:x=8

Step-by-step explanation:

3×4 = 12 so 2×4 = 8

6 0
3 years ago
If you can help me with this you are AMAZING!!!!!!!!!!
Tresset [83]

Answer:

2.

a. 2 books

n/3 books

b. 9 books

3.

a. 8 tomatoes

2/5x

Step-by-step explanation:

6/3 = 2

n/3

27/3 =9

2/5 *20 = 40/5 =8

2/5*x 2/5x

plz mark branliest if this helps

3 0
3 years ago
Read 2 more answers
Factorise 14^2-x-3 <br> please helppp
Dafna11 [192]

Answer:

-(x-193)

Step-by-step explanation:

Factor the polynomial.

Hope this helps. Plz give brainliest.

5 0
3 years ago
Read 2 more answers
Other questions:
  • The decimal $0.76$ is equal to the fraction $\frac{4b+19}{6b+11}$, where $b$ is a positive integer. What is the value of $b$?
    12·1 answer
  • This problem is substitution. X^-2-9X^-1+18=0
    8·1 answer
  • Jual Sharing.<br>How many thirds of a hallway are there to decorate in 5 hallways?​
    6·1 answer
  • Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the
    11·1 answer
  • Will give you brainlyist pls help​
    13·1 answer
  • 9n · 5n · 8 with work to show
    14·1 answer
  • MIDPOINT AND LINE LENGTH<br><br> WILL GIVE 70 MORE IF CORRECT
    15·2 answers
  • Which two parallelograms have the same area?
    14·2 answers
  • The mean weight of 15 members of a company is 58kg. One more member whose weight is 74kg joins the company.Find the new mean wei
    13·1 answer
  • The morning temperature is -15° by the afternoon the temperature rises by 20° right in addition expression for the afternoon tem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!