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
Ilia_Sergeevich [38]
3 years ago
5

Help- this literally makes no sense

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

9514 1404 393

Answer:

  (4x -11)

Step-by-step explanation:

The volume of a rectangular prism is the product of its length, width, and height dimensions. Given any two, the third can be found by dividing the volume by the product of the given dimensions.

  V = LWH

  V/(LW) = H

If we substitute the given information, we have ...

  (4x³ +5x² -32x -33)/((x+1)(x +3)) = <missing dimension>

Suppose the missing dimension is a factor of the form (ax+b). Then you have ...

  (ax +b)(x +1)(x +3) = 4x³ +5x² -32x -33

We could do some polynomial long division, or some synthetic division, to figure this out. However, we can take a couple of shortcuts.

The product of binomial constants must be -33:

  b(1)(3) = -33

  b = -33/3 = -11

The product of x-terms must be 4x³:

  (ax)(x)(x) = 4x³

  a = 4x³/x³ = 4

The most sensible third dimension of the figure is ...

  (4x -11)

__

<em>Check</em>

The product of the two given factors is (x+1)(x+3) = x² +4x +3. We expect that multiplying this by (4x -11) will result in 4x³ +5x² -32x -33. We developed our answer by looking at the first and last terms of the product. We can check our answer by looking at the middle two.

The x² term of the product (4x -11)(x² +4x +3) will be ...

  -11(x²) +4x(4x) = x²(-11 +16) = 5x² . . .  matches the desired product term

The x term of the product will be ...

  -11(4x) +4x(3) = x(-44 +12) = -32x  . . .  matches the desired product term

You might be interested in
Plz help me with this assignment! I need help asap!
Sophie [7]

Answer:

3). 1.21

4). 0.57

Step-by-step explanation:

Quarter = 25 cents

Nickel = 5 cents

Penny = 1 cent

3 0
2 years ago
Read 2 more answers
Evaluate the expression when c=2. 6c/2​
marshall27 [118]

Answer:

<h3>6</h3>

Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

Substitute c = 2 into the expression

g(2) = 6(2)/2

g(2) = 12/2

g(2) = 6

<em>Hence the result when c = 2 is 6</em>

6 0
3 years ago
Jake can cut and split a cord of firewood in 9 fewer hours than Dwight can. When they work together, it takes them 6 hours. How
Luba_88 [7]

Answer:

18 hours for Dwight, 9 hours for Jake

Step-by-step explanation:

If J is the time it takes for Jake working alone, and D is the time it takes for Dwight working alone, then:

J = D − 9

Working together, Jake's speed plus Dwight's speed equals 1 cord per 6 hours.

1 / J + 1 / D = 1 / 6

Solve the system of equations by substituting for J:

1 / (D − 9) + 1 / D = 1 / 6

Multiply both sides by D − 9.

1 + (D − 9) / D = (D − 9) / 6

Multiply both sides by D:

D + D − 9 = D (D − 9) / 6

Simplify and solve:

2D − 9 = (D² − 9D) / 6

12D − 54 = D² − 9D

0 = D² − 21D + 54

0 = (D − 3) (D − 18)

D = 3 or 18

Since J = D − 9, D must be greater than 9.  So D = 18 and J = 9.

That means it takes Dwight 18 hours working alone, and it takes Jake 9 hours working alone.

3 0
3 years ago
antonia is keeping track of the number of pages she reads. she started the school year having already read 95 pages her book, an
NARA [144]
F(x) represents how many pages in total Antonia has read, while x represents the number of days.
7 0
3 years ago
Read 2 more answers
What is 45.13 rounded to the nearest one?
SCORPION-xisa [38]

Answer:

45

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 time
    13·2 answers
  • What’s the area of the shaded region?? ANSWER ASAP FOR BRAINLIEST
    7·2 answers
  • Suppose you have $60 in you bank account. You start saving $10 each week. Your friend has $20 in her account and is saving $15 e
    15·1 answer
  • Can someone plz help me
    5·1 answer
  • Please help asap 25 pts
    8·1 answer
  • Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de
    7·1 answer
  • What is the common denominator of 3/5 and 2/8
    10·2 answers
  • La Sra.Elena y el Sr.Eulalio,abortan taxis diferentes de la misma empresa el costo del servicio es un importe fijo de salida (ba
    13·1 answer
  • Pls help need it done pls
    8·1 answer
  • 1/5 of a box of erasers and youneed to share with 3 people including yourself what fraction of the box would each person get
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!