A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?

Answers

Answer 1

Answer:

x(x-4)(x+8)

Step-by-step explanation:

Factor.

x(x^2+4x-32)

x(x-4)(x+8)


Related Questions

Please help with this question it is 60% of my grade.

Answers

Answer: b

Step-by-step explanation:

you start with 0 min- equals 24

1 min- 21

2 min- 18

3 min- 15

4 min- 12

5 min- 9

and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.

Answer:

B

Step-by-step explanation:

After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC

(a) Whats the area of a rectangular field is 3888 m. If the length of the field is 72 m, what is its width?

(b)The perimeter of a rectangular painting is 374 cm. If the width of the painting is 88cm, what is its length?

Answers

Answer:

part a is 54            part b is 99

Step-by-step explanation:

72 x ? =3888

x=54

374 is the perimeter. You have a side that is 88cm so the opposite side will be 88 cm as well. 374-176=198

so between the last 2 sides we have 198. The sides will be equal so you just divide it by 2  

so the top and bottom of the rectangle are 99 and both sides are 88

answer both and i will give brianlist

Answers

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

Dillon peeled 40 pounds of potatoes. How many ounces of potatoes did Dillon peel?

Answers

Answer:

640

Step-by-step explanation:

40 pounds = 640 ounces

The ounces of potatoes that Dillon peeled is 640 ounces.

What is Unit Conversion?

Unit conversion is defined as expressing the same quantity by different measurement units.

For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.

Given that,

Amount of potatoes that Dillon peeled = 40 pounds

We have to convert the same amount of potatoes in to the measurement unit of ounces.

We have to convert the unit.

We have the measurement unit that,

1 pound = 16 ounces

40 pounds = 40 × 16 = 640 ounces

Hence 640 ounces of potatoes did Dillon peel.

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sara had 51 stickers and her dad had 13 stickers how many are in all

Answers

Answer:

64

Step-by-step explanation:

Answer:

64!

Step-by-step explanation:

(50 + 10) + (1 + 3)

   (60)          (4)

60 + 4 = 64!

Which is a quadratic function?

Answers

Answer:

it has two zeroes

it is of the form ax^2+bx+ c

thats all

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.

The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?

a) P = 12.50t + 1.20

b) P = 1.20t + 12.50

c) t = 12.50P + 1.20

d) t = 1.20P + 12.50

Answers

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

800(1-3/100)

800(100-3)/100

800(97)/100

77600/100

776 is her score.

What is the end behavior of f(x) =log3 (x+7) -1?

Answers

Answer:x=-4

Step-by-step explanation:

A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.

Answers

Answer:

The answer is 5:2 5 to 2 5/2.

I need help on this question ​

Answers

Answer:

1. equal

2. add to 180

3. equal

4. add to 180

Step-by-step explanation:

as 1 and 3 are linear pairs

2 and 4 are vertically opposite angles

Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17

Answers

Answer 1               8      

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

What is graph?

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

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A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Answers

Answer:

9.25 + 25.75p ≤ 245

Step-by-step explanation:

I didn't see any inequality options to select from . . .

245 ≤ 9.25 + 25.75p

p= number of people

since there’s no more than $245, they can only spend the exact amount or less than which is why ≤ (less than or equal) to is used.

hope this helps :)

write each expression in simplest form



12c - c =

Answers

Answer:

11c

Step-by-step explanation:

12c-c=11c

It would look like this without the variable (just to make it easier to understand)

12-1=11

Write an equation in point-slop form of the line that passes through the point (2,-8) and has a slope of 4

Answers

point slope form

y+8=4(x-2)

slope-intercept form

y= 4x-16

Find the distance between the two points rounding to the nearest tenth (if necessary).

(−1,−2) and (5,2)

Answers

Answer:

7.2 units

Step-by-step explanation:

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (-1, -2) & (5, 2)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (2 - (-2))²]

Simplify the parentheses.

d = √[(5 + 1)² + (2 + 2)²]

d = √[(6)² + (4)²]

Simplify the exponents.

d = √[36 + 16]

Add.

d = √[52]

Evaluate the radical.

2√13 or 7.2111

Round the decimal.

7.2 units

Hope this helps!

You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?

Answers

Answer:quarterly, monthly, daily

Step-by-step explanation:

quarterly: y=7000 (1+.05/4)'10(4)     answer y=11,505.34

monthly: y=7000 (1+.05/12)'10(12)    answer y=11,529.07

daily: y=7000 (1+.05/365)'10(365)    answer y=11,540.65

What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more

The account will be worth approximately $11,505 if compounded quarterly.

The account will also be worth approximately $11,540 if compounded daily.

A. Compounded quarterly:

n = 4 (quarterly compounding)

A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]

A ≈ 7000(1.0125)⁴⁰

A ≈ 7000 x 1.643619463

A ≈ 11505.34

The account will be worth approximately $11,505 if compounded quarterly.

B. Compounded monthly:

n = 12 (monthly compounding)

A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]

A ≈ 7000(1.00416666667)^(120)

A ≈ 7000 x 1.6487212707

A ≈ 11540.05

The account will be worth approximately $11,540 if compounded monthly.

C. Compounded daily:

n = 365 (daily compounding)

A = 7000(1 + 0.05/365)^(365*10)

A ≈ 7000(1.0001369863)^(3650)

A ≈ 7000 * 1.6487212707

A ≈ 11540.05

The account will also be worth approximately $11,540 if compounded daily.

B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.

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A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: 6.9 kg

Step-by-step explanation:

Given

The combined weight of apple and pears is 9.4 kg

If pears weigh 2.5 kg

The weight of apples is the subtraction of pears weight from the total

[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]

Thus, the farmer sells 6.9 kg of apples

pls helpppppppppppp!

Answers

Answer: g= -1/12

Step-by-step explanation:

I just solved it hope I helped

I’ll mark brainliest if correct :)

Answers

Answer:

x = -2

y = 9

Step-by-step explanation:

y = -3x + 3

y = 5x + 19

We can put one y as another:

-3x + 3 = 5x + 19

-8x = 16

x = -2

And now let's check using x = -2

y = (-3 * -2) + 3

y = (5 * -2) + 19

y = 6 + 3

y = -10 + 19

y = 9

y = 9

What is the BEST first step in converting the standard equation below to slope intercept form?
x + 2y = 4

Answers

Subtract x

Then divide by 2

Circle the errors and explain what the error is.

Answers

Answer:

The error is that should it be x + 10 = 25

3x - 2x = x, not 5x

Hope that helps!

-Sabrina

Step-by-step explanation:

​For the two right triangles above, explain why a/8=x/12 . ​ ​What ​trigonometric ratio is also equal to the two given ratios?

Answers

Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

[tex]k = \frac{12}{8}[/tex]

[tex]k = 1.5[/tex]

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

[tex]sin(30) = \frac{Opp}{Hyp}[/tex]

This gives:

[tex]sin(30) = \frac{a}{8}[/tex]

In the second triangle:

[tex]sin(30) = \frac{Opp}{Hyp}[/tex]

So:

[tex]sin(30) = \frac{x}{12}[/tex]

By comparison:

[tex]sin(30) = sin(3)[/tex]

Hence:

[tex]\frac{a}{8} = \frac{x}{12}[/tex]

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

Could some one help me please

Answers

Answer:

12

Step-by-step explanation:

The answer is 12, because you just had to multiply

Find the value of x.

Answers

Answer:

x = 30.74

Step-by-step explanation:

39 - 15 = 24

y^2 + 24^2= 36^2

y^2 + 576= 1296

y^2= 720

y= [tex]12\sqrt{5}[/tex]

15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2

225 + 720 = x^2

x^2= 945

x = 30.74

the value of x=30.74

REALLY NEED HELP
What is the slope of the given line??

Answers

Answer:

3

Step-by-step explanation:

slope is rise over run

6/2 simplifyed is 3/1 or just 3

A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?

Answers

Answer:

x=1

Step-by-step explanation:

30% = .30 or .3

$40(.3)= 12

$12 is how much money you saved. So now just subtract 40-12.

$40-12= $28

The sweater will cost $28 dollars at discounted price.

please help me figure out the volume, it would be a life saverrrrrr! c;

Answers

Step-by-step explanation:

V= L×W×H

V= 8×5×4

V= 160feet cuded

Answer:  80 cubic feet

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

Explanation:

This tent is a triangular prism. We have two congruent triangles in front and back. Let's stand the triangular prism up so that the triangle forms the base, or floor, of this figure.

The area of the base triangle is 5*4/2 = 20/2 = 10 square feet. I used the formula base*height/2 to get the area of a triangle.

Once we know the area of the base of the prism, we multiply that by the height of the prism, which is the 8 ft. So we get 10*8 = 80 cubic feet of volume.

What is the inverse (opposite) of subtraction?

Answers

Answer: Addition I think

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