A right rectangular prism has a volume of
[tex] {6x}^{3} - {3x}^{2} - 45x[/tex]
What are expressions for the length, width, and height?​

Answers

Answer 1

Answer:

3x, 2x + 5, and x - 3

Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

3x (2x² - x - 15)

Now, after completing the square and factoring:

3x (2x + 5) (x - 3)

These are our three expressions.


Related Questions

The number of people who sleep 8-8.9 hr per night is about how many times the number who sleep 6-6.9 hr a night

Answers

Answer:

3.75 times

Step-by-step explanation:

From the histogram plot of the data :

The number of people who sleep 8 - 8.9 hour per night is about 375

The number of people who sleep 6 - 6.9 hour per night is about 100

Therefore, to compare how many times the number of people who sleep 6 - 6.9 hrs and 8 - 8.9 hrs :

8 - 8.9hrs = 6 - 6.9 hrs * x

375 = 100x

x = 375 / 100

x = 3.75

Hence, the number of people who sleep 8 - 8. 9 is 3.75 times the number of people who sleep 6 - 6.9

HELP FAST



How many cubes with side lengths of
cm does it take to fill the prism?
1 cm
7
cm
4
2 cm
cubes

Answers

Answer:

14

Step-by-step explanation:

1 x 2 x 1 3/4 (or 1.75) = 3.50

Now, divide 3.50 by 1/4 (or 0.25) to get 14

14 1/4 centimeter cubes will fill the prism

You are in a hurry and I don't think that you really need the explanation so its 224 cubes

Convert the following equation to slope-intercept form:
5x - 15y = 105

Answers

Answer:

D

Step-by-step explanation:

You need to solve the equation so that it looks like y = mb + b

So -15y = -5x + 105, then divide both sides by -15 so y = -5/-15 x + 105/-15

y = [tex]\frac{1}{3}[/tex] x  - 7


Can you help me with number 8

Answers

Answer:

A. :)

Step-by-step explanation:

Brainly?

HELPPPPPPPP ASAP!!!!!! ILL MARK YOU THE BRAINLIEST


A pipe press can produce 360 feet of pipe in 240 minutes. What is the production rate in yards per hour?

30 yards per 3 hours
30 yards per hour
40 yards per hour
40 yards per 3 hours
120 yards per hour

Answers

30 yards per hour

240 minutes= 4 hours
360 feet= 120 yards
120 yards divided by 4 hours is 30

also i need help on thiss plzz

Answers

Answer:

14y + 77 + 2y = 13

Step-by-step explanation:

Substitute: 7(2y + 11) +2y = 13

Distribute: 14y + 77 +2y = 13

3.5(2.25 + x) = 14
x=

Answers

Answer:

x = 1.75

Step-by-step explanation:

Given

3.5(2.25 + x) = 14 ( divide both sides by 3.5 )

2.25 + x = 4 ( subtract 2.25 from both sides )

x = 1.75

Answer:

iho7v078f0

Step-by-step explanation:

Can someone help please

Answers

Answer:

50

Step-by-step explanation:

20+20=40

5+5=10

40+10=50

Answer: P=50

Step-by-step explanation: 20 m = length and 5 m = width

Solution:

P=2(l+w)=2·(20+5)=50

So the perimeter is 50

The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.

Answers

Answer:

base=24

Step-by-step explanation:

2*4=8

192/8=24

#7: Cole plans to purchase a car that depreciates at a rate of 9.2% per
year. The initial cost of the car is $21,000. Determine the value after 3
3 points
years.
Your answer

Answers

Answer:

I'm not really sure but I think the answer is 21,331.20 for 3 year the interst will be 331.20

Clare used 30% less butter this month than last month when baking holiday treats. If she used 250 tablespoons of butter last month, how many tablespoons did she use this month?

Answers

Answer:

175 tablespoons.

Step-by-step explanation:

250 × 30% = 75

250 - 75 = 175

hola busco nva si quieres ​

Answers

Answer:

buena suerte ojala encuentres

Please help me answer this!

Answers

Answer:s manifestos icons did go oc so oc do is do is do well oc well onto anton

Step-by-step explanation:

sorry need points

-X^2 + 5x + 24
The x-intercepts occur where x = ... and x =...

Please help! Also please don’t comment just for points it’s not funny and I need this so I can raise my score back up.

Answers

Answer:

x = 8 and x = -3.

Step-by-step explanation:

-x^2 + 5x + 24 = 0   at the x intercepts.

Divide thru by -1:

x^2 - 5x - 24 = 0

(x - 8)(x + 3) = 0

x - 8 = 0 ,  x + 3 = 0

x = 8 and x = -3.

Need help fast!!
What is the value of x

Answers

Answer:

4.5

Step-by-step explanation:

Find the unknown length in the pair of similar figures.

Answers

Answer:

when figure is similar then ratio of sides are equal .so,

15/5 = y/9

5y = 135

y= 27

100 points ! What is the area of the following composite figure? All angles are right angles.

24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2

Answers

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

q + 12 ≥ 5
Solve the inequality

Answers

Answer:

Q≥-7

Step-by-step explanation:

Q+12≥5 subtract 12 from both sides Then simplify

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 4ft and a radius of 6ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be $14,318.40. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Answers

First find surface area.

I will skip the exact explanation and just go to it because well its the same concept as the prism.

π*6^2*2+6*2π*4

=72π+48π

=120π

Now we need to take 3.14 for pi getting about

120*3.14=376.8 square foot.

Now the total is 14318.4 dollars, so what's left is simple division.

14318.4/376.8=38

The metal cost 38 dollars per square feet :P

Helen is putting together a makeup kit for a friend there are 6 Types of eyeshadow and 3 types of mascara to choose from how many different kits can Helen make btw I’m in 7 grade

Answers

she can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara

In ΔOPQ, q = 83 inches, p = 80 inches and ∠P=70°. Find all possible values of ∠Q, to the nearest degree

Answers

Answer:

77.12°

Step-by-step explanation:

Given that:

In triangle OPQ

∠P=70°

line q = 83 inches

line p = 80 inches

To find ∠Q; we use the since rule:

[tex]\dfrac{Sin \ Q}{q} = \dfrac{Sin \ P}{p}[/tex]

[tex]\dfrac{Sin \ Q}{83} = \dfrac{Sin \ 70}{80}[/tex]

[tex]Sin \ Q= \dfrac{Sin \ 70 \times 83}{80}[/tex]

[tex]\text{Sin \ Q= 0.9749}[/tex]

[tex]Q=Sin ^{-1}( 0.9749)[/tex]

[tex]\mathbf{Q = 77.12^0}[/tex]

In a class of 25 students, 16 had at least one pet. What percent is that?
-32%
-40%
-64%
-80%

Answers

Answer:

-64%

Step-by-step explanation:

Hope this helps you

Answer:

64%

Step-by-step explanation:

25 x 0.64 = 16

Solve the following equation for x.
3x - 9 = -42

Answers

Answer:

x = -11

Step-by-step explanation:

Add 9 to both sides of the equation

3 − 9 = −42

3 − 9 + 9 = −42 + 9

Simplify

Add the numbers

3 = −33

Divide both sides of the equation by the same term

3 = −33

3/3 = −33/3

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

= −11

Please help if you can

Answers

Answer for 1:

19

Answer for 2:

vertical

Answer for 3:

supplementary

Answer for 4:

96°

Answer for 5:

24°

Answer for 6:

120°

Explanation for All Questions:

I'm an Ace, 80% to Genius. Trust me

(½ point for model; ½ point for correct simplified expression)
(8x + 2) + (-9x + 7)

Answers

Answer:

Simplified= −x+9

Step-by-step explanation:

what percent of 82 is 9.75. Round your answer to the nearest tenth

Answers

Hi there!

8 would be the nearest ten of 7.995..

1.Multiply 82 with 0.01:

[tex]82[/tex]·[tex]0.01=0.82[/tex]

2.Multiply the terms:

[tex]0.82[/tex]·[tex]9.75=7.995[/tex]

3.Round the term:

[tex]7.995=8[/tex]

Therefore, 82% of 9.75 in nearest tenth is 8.

Please helppp, I forgot how to do this

Answers

Answer:

Your answer is correct, (-6, -4, 0, 2, 6).

Explanation:

Take the equation 3/2x+8

Then take each number and plug it in for "x".

For example:

3/2(6) + 8 = -1

or you can change the fraction into a decimal to make it easier...

1.5(6)+8=-1

Rayna and Maya are playing the integer card game. The cards in Rayna's hand are shown below: What is the total score of Rayna's hand? Support your answer by showing your work.

Answers

Answer:

The total score of Rayna's hand is described below in details.

Step-by-step explanation:

Start at 0. Combining a positive integer is a simplistic addition. Add 3 to get 3.

Combining a negative integer is like deducting : 3 + (-5) = 3 - 5 = -2.

Add 9, using 9 steps ahead, on the number line, to get 7.

Add -6, by deducting 6, to get 1.

Rayna's total composition is 1.

As for part 2, Rayna obtaining two more cards, which doesn't change his final record ...

Unless he got 2 zeroes, or he got pair cards with different symbols but similar magnitudes, such as 1 and -1.

The sign of a number is whether it is negative or positive. The magnitude (total value) of a number is how far that amount is from zero. The magnitude of a product is never negative.

The 2 cards do not change Rayna's point total, because their influences eliminate each other out. For instance, a 1 would move him one move ahead, on the number line, and a -1 would produce him one move behind, on the number line.

what is the difference of 20 and 3

Answers

Answer:17

Step-by-step explanation:

20-3=17

The difference of the two numbers would be 17

Expand: y(0.5 +8)
Expand: 4(3+4x-2)

Answers

Answer:

.5y+8y=

8.5y

12+16x-8=

16x+4

Step-by-step explanation:

use the distributive property to solve the equation then simplify and combine like terms

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