7-3 Multiplying Binomials
Write a polynomial in standard form for the volume of the rectangular prism shown.
5x+1
3x - 4
X+2

Answers

Answer 1

Answer:

Step-by-step explanation:

Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)

Volume of the rectangular prism = length *width * height

              = (5x + 1) (3x -4)(x +2)

              = [ 5x*3x + 5x*(-4)  + 1*3x + 1*(-4) ] (x + 2)

             = [15x² - 20x + 3x - 4] (x +2)    {Combine like terms}

             = [15x² - 17x - 4] (x + 2)

             =[15x² -17x - 4]*(x) + [15x² - 17x  -4]*2

            = [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2  - 4*2

            = 15x³ - 17x² - 4x  + 30x² - 34x - 8

           = 15x³ - 17x² + 30x²  - 4x - 34x - 8    {Combine like terms}

           = 15x³ + 13x²  - 38x - 8


Related Questions

Which of the prisms below must have symmetry with respect to a point? (Select all that apply.
(PLEASE HELP ME) NO LINKS OR ABSURD ANSWERS. I WILL REPORT)
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER>

Answers

Answer:

Option III

Step-by-step explanation:

All regular figures have a point at which one can draw a line of symmetry. A figure classifies are regular if all of its sides and angles are congrunet. It is given that figure (III) has a regular base, thus it is most probable that it has symmetry with respect to a point.

Is 10 times as much as 9

Answers

Answer:

No.

Step-by-step explanation:

10 times is not as much as 9 times.

I’m stuck on this question??????????????

Answers

Answer:

You are? so am I

Step-by-step explanation:

Answer:

1. 49, 2. 245

Step-by-step explanation:

Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days

Identify the Texas Governor who resigned his office in order to lead Texas Troops in the U.S. vs Mexican War.

Answers

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

Labor economists have extensively researched the determinants of earnings. Invest-ment in human capital, measured in years of education, and on the job training aresome of the most important explanatory variables in this research. You decide toapply earnings functions to the field of sports economics by finding the determinantsfor baseball pitcher salaries. You collect data on 455 pitchers for the 1998 baseballseason and estimate the following equation using OLS and heteroskedasticitv-robust standard errors:
Ln (Eami) = 12.45 + 0.052 x Years + 0.00089 x Innings + 0.0032 x Saves
(0.08) (0.026) (0.00020) (0.0018)
- 0.0085 x ERA, R^2 = 0.45, SER = 0.874
(0.0168)
where Earn is annual salary in dollars, Years is number of years in the major leagues, Innings is number of innings pitched during the career before the 1998 season, Saves is number of saves during the career before the 1998 season, and ERA is the earned run average before the 1998 season.
A) What happens to earnings when the pitcher stays in the league for one additional year? Compare the salaries of two relievers, one with 10 more saves than the other. What effect does pitching 100 more innings have on the salary' of the pitcher? What effect does reducing his ERA by 1.5? Do the signs correspond to your expectations? Explain.
B) Are the individual coefficients statistically significant? Indicate the level of significance you used and the type of alternative hypothesis you considered.
C) Although you are quite impressed with the fit of the regression, someone suggests that you should include the square of years and innings as additional explanatory variables. Your results change as follows:
Ln (Eami) = 12.15 + 0.160 x Years + 0.000268 x Innings + 0.0063 x Saves
(0.05) (0.039) (0.00030) (0.0010)
-0.0584 x ERA - 0.0165 x Years - 0.00000045 x Innings
(0.0165) (0.0026) (0.00000012)
R^2 = 0.69, SER = 0.666
What is her reasoning? Are the coefficients of the quadratic terms statistically significant? Are they meaningful?
D) Calculate the effect of moving from two to three years, as opposed to from 12 to 13 years.
E) You also decide to test the specification for stability across leagues (National League and American League) by including a dummy variable for the National League and allowing the intercept and all slopes to differ. The resulting F-statistic for restricting all coefficients that involve the National League dummy variable to zero, is 0.40. Compare this to the relevant critical value from the table and decide whether or not these additional variables should be included.

Answers

Answer:

Kindly check explanation for other solutions

Years, Inning and saves are statistically significant ; ERA is not.

Step-by-step explanation:

Earning for staying one additional year :

Multiply slope value of years * 1 = 0.052 * 1 * 100 % = 5.2% (earning increases by 5.2%)

Relives with 10 more saves :

10 * 0.0032 * 100% = 3.2% (earning increases by 3.2%)

Having 100 more innings :

100 * 0.00089 * 100% = 8.9%

If ERA is reduced by 1.5 ; earning will increase by (0.0085*100)% * 1.5 = 1.275%

B.) At 5% level of confidence :

α = 1.64

Years = 0.052/0.026=2

Inning = 0.00089/0.00020 = 4.45

Saves = 0.0032/0.0018 = 1.78

ERA = 0.0085/0.0168 = 0.51

Years, Inning and saves are statistically significant as they are greater than α ; As for ERA, it is not statistically significant (0.51 < 1.64)

What is the mean of the data set?
{20, 1, 14, 14, 9,8}

Answers

Answer and Step-by-step explanation:

To find the mean, you have to add all of the data together, then divide by the amount that there is.

So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.

66 divided by 6 is 11.

The mean of the data set is 11.

#teamtrees #PAW (Plant And Water)

Answer:

11

Step-by-step explanation:

20+14+14+9+8=66

66 divide by 6 = 11

which girl can become my friend​

Answers

Answer:

I can be your friend

You can earn 5 coins The speed limit on Main Street is 20 miles per hour. Which inequality shows the speed, s, that cars should drive on Main Street?​

Answers

Answer:

s ≤ 20

Step-by-step explanation:

The speed limit refers to the maximum velocity a vehicle is allowed to move. Therefore, for a certain street like the one in the scenario abive, with a speed limit of 20 miles per hour, then, the maximum allowable speed on the highway is 20 miles per hour. Meaning vehicles can move at that speed or below. However, moving above that speed is a violation of the speed limit rule. Hence. The speed limit could be represented by the inequality :

Speed limit is less than or equal to 20 miles per hour

S ≤ 20

Find the surface area of a cube with a side base length of 8mm.

Answers

Answer:

384mm

Step-by-step explanation:

Azim wants to buy a tablet computer that is priced at 180.50. If sales tax rate on the computer is 8%, how many dollars and cents will Azim spend on the sales tax?

Answers

Answer:

$14.44

Step-by-step explanation:

I'm pretty sure it's 14.44 because It says only the sales tax not the whole price together so you would take 8% turn it into .08 and multiply 180.50 by .08 and get 14.44 which is the sales tax. And if you were looking for the total it would be 194.94 but that's not what this question is asking(:

Check attachment below

Answers

Answer:

[tex]170[/tex]

Step-by-step explanation:

The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

[tex]wx = 2(42x + 1)[/tex]

We can add up that and the other arcs to 360.

[tex]2(42x + 1) + 29x - 1 + 65x + 3[/tex]

[tex]84x + 2 + 29x - 1 + 65x + 3 = 360[/tex]

[tex]178x + 4 = 360[/tex]

[tex]178x = 356[/tex]

[tex]x = 2[/tex]

Plug in 2 for WX.

[tex]84(2) + 2 = 170[/tex]

Find the area of the shaded region.

Answers

Answer:

60.5m^2

Step-by-step explanation:

the area of the square

=11m×11m

=121m^2

the area of triangle

=11m×11m÷2

=121m^2÷2

=60.5m^2

the area of the shaded region

=121m^2-60.5m^2

=60.5m^2

the answer is not very sure,

if it is wrong, i am sorry for it.

4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.​

Answers

Answer:

The answer is 7.

Solve for y on problem #2

Answers

9514 1404 393

Answer:

  y = (x +7)/3

Step-by-step explanation:

Multiply the given equation by y/3:

  [tex]\dfrac{x+7}{y}\cdot\dfrac{y}{3}=3\cdot\dfrac{y}{3}\\\\\boxed{y=\dfrac{x+7}{3}}[/tex]

Which type of triangle is formed given the following angle measurements?
Angle 1: 30°
Angle 2: 30°
Angle 3: 120°

Answers

Answer:

A right angled Triangle

Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60

Answers

Answer:

B is the correct answer as it qualifies for all the answers correctly.

Please help me 7th grade math

Answers

Answer:

It is ¹/6 since the chance is once

I’ll do this again please answer these pages I will give all of my points please
Try your best to read them do the ones that you can read I can manage
Question 15 says a can Of tomato soup has a net weight of 8 ounces of soup how many grams are in the can of soup

Answers

I can't read these but is this a school issued textbook of some sort? I might be able to help if so *MIGHT*

Answer:

DID NOT INCLUDE THE ONES I CANT SEE. 3.A   8.A    9.B    10.B   11.D   12.A   13.A .  14.B   16.D   17.C   18.B    19.A     20.A(Not 100% sure on 20)

Step-by-step explanation:

Dont have time to explain

19 - a = 42

What is a?

Answers

A=61 since if you do the opposite equation 42+19=61

Answer:

61

Step-by-step explanation:

add 42 the 19 because of reverse operation

Nick is selling software and earns 12% of his sales as a commission If he sells a total of $668 in software this week, how much is his commission​

Answers

Answer: $80.16 ($748.16)

Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12

(i'm doing your math in the middle of my math class. you're welcome.)

Which of the following values are in the domain of the function graphed
below? Check all that apply

Answers

I can’t see the function here. Could you upload the full photo?


Plz help me answer this.

Answers

Answer:

Step-by-step explanation:

Which of the following expressions is equivalent to a perfect square?

Answers

Answer:

F

Step-by-step explanation:

if you do the math you end up with 49 which is a perfect square of 7

The expression that is equivalent to a perfect square in the options is 34 + 18 ÷ 3².

What is a perfect square?

A perfect square is the number derived when a number is multiplied by itself. For example, 9 is a perfect square because 3 multiplied by 3 is equal to 9.

3 + 2² x 7 = 31

(80 + 4)÷ 4 = 21

34 + 18 ÷ 3² = 36

3²+ 6 x 5 ÷ 3 = 19

Giving brainliest!!!!!!

Answers

Answer:

Answer should be 6, I think

The vertex of a parabola is at the origin, and its focus is at . Which function does the graph with these attributes represent?

A.

B.

C.

D.

Answers

Answer:

ANSWER

step explanation:

The vertex of the parabola below is at the point (2,4), and the point (3,6) is on the parabola. What is the equation of the parabola? 10 (3,6) (2,4) TO 10 10 A. y= 2(x - 2)2 + 4 B. x = 4(y - 3)2 + 1 C. y= 6(x - 2)2 + 4 D. y = 3(x - 4)2 + 2

multiply the binomials (2x+1)(3x+2)

Answers

The Answer is (6x^2+7x+2)

Use the FOIL method

Plsss help mark brain list

Answers

Answer:

54

Step-by-step explanation:

63 * 2 = m of arc DF

arc DF = 126

180 - 126 = 54

Arc FE = 54

Answer:

arc FE = 54°

Step-by-step explanation:

Because DE is a diagonal, ∠DFE is 90°.

∠FDE = 180° - 90° - 63° = 27°

arc FE = 2(∠FDE) = 2(27°) = 54°

Use either the shell method or the disk/washer method to find the volume of the solid (Calculus Help!!!)

Answers

Integrating with shells is the easier method.

V = 2π ∫₁³ x (√x + 3x) dx

That is, at various values of x in the interval [1, 3], we take n shells of radius x, height y = √x + 3x, and thickness ∆x so that each shell contributes a volume of 2π x (√x + 3x) ∆x. We then let n → ∞ so that ∆x → dx and sum all of the volumes by integrating.

To compute the integral, just expand the integrand:

V = 2π ∫₁³ (x ³ʹ² + 3x ²) dx

V = 2π (2/5 x ⁵ʹ² + x ³) |₁³

V = 2π ((2/5 × 3⁵ʹ² + 3³) - (2/5 × 1⁵ʹ² + 1³))

V = 4π/5 (9√3 + 64)

find the measure of the angle theta

Answers

Answer:

theta = 48.190

Step-by-step explanation:

Answer: θ = 48.2°

Step-by-step explanation:

The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3

rounded to three significant digits = 48.2°

1. What term means "per hundred"?​

Answers

Percent. Hope this helps!
get the app socratic it helps
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