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
Blizzard [7]
2 years ago
10

The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3

− 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Mathematics
2 answers:
Levart [38]2 years ago
5 0

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

JulsSmile [24]2 years ago
3 0

Answer:

  1. Answer is x–4

Step-by-step explanation:

I hope you understand

You might be interested in
If the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m find the length of the rectangle
Kamila [148]

Answer:

length=45 m (2 sides = 90m)

Step-by-step explanation:

5x +3x=144

8x=144

x=18 (each of the 8 parts of 144 measure 18m)

5(18) + 3(18)=144

90 +54=144

90/2=45 (1 length side)

54/2=27 (1 width side)

The rectangle= 45+45 +27+27 = 144

5 0
3 years ago
The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t re
miv72 [106K]

Answer:

205

Step-by-step explanation:

Given

N(t) = 100 + 15t is the equation of the relation.

We're asked to find N(7)

Taking a look at the question again and putting it side by side the equation

N(t)

N(7)

We can deduce that t = 7, and as such, solve for it in the equation given

N(7) = 100 + 15(7)

N(7) = 100 + 105

N(7) = 205

Therefore, the number of unread mails after 7 days will be 205

8 0
2 years ago
Eight less than a number is seventy-five. What is the number? -67 67 83
frozen [14]

8-75 = x

x=8+75

x= 83

 the number is 83

5 0
3 years ago
Read 2 more answers
A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a club, the player wins $7; if it is
Tom [10]

Answer: Loses $4

Step-by-step explanation:

There's not that much clubs.

4 0
3 years ago
Help me plsssss asap ​
KiRa [710]
Area = b*h (base times height)
Substitute
A = 9*4
A = 36
4 0
2 years ago
Other questions:
  • Multiply the following binomials (X+5) (X-5)
    9·1 answer
  • Help pleaseeeeeeeeee
    12·2 answers
  • -2w-(+9w-7)-2w+9-5w=<br>​
    5·1 answer
  • Helppp me pleaseeeeee
    12·1 answer
  • Boxes that are 12 inches tall are being piled next to boxes that are 10 inches tall. What is the least
    13·1 answer
  • Please help struggling
    5·1 answer
  • Find the intercepts of<br> y= 2x -4
    13·1 answer
  • Help me plz ill give brainiest
    6·2 answers
  • Which expression has a sum of one and two twenty ones?
    9·2 answers
  • Is the graph increasing, decreasing, or constant?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!