A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produce
Factory A: 2b3 – 3b2 + b - 120
Factory B: 4b2 – 3b – 260
Which polynomial represents the company's total output?
A. 6b3 – 3b2 - 3b - 140
B. 2b3 - 7b2 + 4b + 140
C 2b3 + b2 - 2b - 380
D. 6b3 – 6b2 + b + 380

Answers

Answer 1

Answer:

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

Answer 2

Answer: C) 2b^3+b^2-2b-380

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)


Related Questions

1/3^-1-1^-1/4^-1
find the value in the following equation ​

Answers

Answer:

-1/6

Step-by-step explanation:

= 1/3 (-1-1) x -1/4 (-1)

= 1/3 (-2) x 1/4

= -2/3 x 1/4

= -2\12

2 and 12 can cancel out each other.

so the answer will be.

= -1/6.

Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, - 13).

Answers

Answer:

  B(-2, -7)

Step-by-step explanation:

The ratio requirement means ...

  (B-A)/(C-B) = 3/2

  2(B-A) = 3(C-B) . . . . cross multiply

  2B -2A = 3C -3B . . . eliminate parentheses

  5B = 2A +3C . . . . . . add 3B+2A

  B = (2A +3C)/5 . . . . divide by 5

Now that we have a formula for B, we can fill in the given point values:

  B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)

The coordinates of B are (-2, -7).

Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.
75 + ?m = 175
What number should he use as the coefficient of m?
50
75
125
175

Answers

Answer:

50

Step-by-step explanation:

The coefficient is amount of money in m (months)

The 50 is the amount of money

They are depositing $50 per month, 50m

Therefore, the coefficient is 50.

Answer:

50

Step-by-step explanation:

When rounding to the nearest ten, what is is the least whole number that roundd to 840

Answers

Answer:

835  

5 and up is rounded higher.

-2(m + 7) = 3(m + 2)

Answers

Answer:

m= -4

Step-by-step explanation:

-2m-14=3m+6

-14=5m+6

-20=5m

m= -4

Find the values of x is 1/x + 1/x+2 undefined?

Answers

Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.

Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.

Fill in the blank with the number you would add to both sides in order to solve this
equation by completing the square:
x² - 4x +
=
2 +

Answers

Answer:

write the right question first your question is wrong

This is due tonight and I am struggling with a couple of questions. This is one. Please help

Answers

Answer:

x = 4.2

Step-by-step explanation:

72 + 10x = 114

10x = 114 - 72

10x = 42

x = 42/10

x = 4.2

Answer:

x = 4.2

Step-by-step explanation:

x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.

48 books on 6 shelves. How many books on 12 shelves?

Answers

96 books because if you multiply by 2 that’s double of what the first answer was

Answer:

96 books

Step-by-step explanation:

because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96

h e l p !!


is this table a linear function?

Answers

no because they are not following the same rule

Answer:

Yes

Step-by-step explanation:

-4x+7=11 HELPP! pleaseeee

Answers

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]-4x+7=11[/tex]

Subtract 7 from both sides:

[tex]-4x+7-7=11-7[/tex]

[tex]-4x=4[/tex]

Divide both sides by -4:

[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]

[tex]x=-1[/tex]

One-Half of a number increased by 6 is less than 34

Answers

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

Subtract 6 on both sides. ½ x < 28.Divide ½ on both sides. x < 56.

simplify the following equation: (5 + 3)²​

Answers

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

Math please help me solve

Answers

Answer:

Angle 1: 34°

Angle 2: 146°

Angle 3: 146°

Angle 4: 34°

Angle 5: 34°

Angle 6: 146°

Angle 7: 146°

Angle 8: 34°

Step-by-step explanation:

Angle 1: because angle 1 and 5 are corresponding, we know that angle 1 is 34°.

Angle 2: because a line is 180°, we can set angle 1 and 2 equal to 180° ( 34+x+15=180) which when solved, x = 131. but you need to plug it back into the equation of angle 2 to find out how many degrees it is. ( 131+15=146 ) So angle 2 is 146°

Angle 3: angles 2 and 3 are vertical angles, so angle 3 is 146°

Angle 4: angles 1 and 4 are vertical, so angle 4 is 146°

Angle 5: is given

Angle 6: angles 2 and 6 are corresponding so they are equal, angle 6 is 146°

Angle 7: angles 6 and 7 are vertical so angle 7 is 146°

Angle 8: angles 5 and 8 are vertical of each other so they are equal, angle 8 is 34°

Yesterday, between noon and midnight, the temperature decreased by 27.2°F. If the temperature was -8.6°F at midnight, what was it at noon? *

Answers

the temperature at noon was 18.6 °F

Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.

Answers

Answer:

the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

Step-by-step explanation:

Given that:

[tex]x^2 +y^2 = 11x[/tex]

This implies that :

[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]

center (5.5, 0) and radius = 5.5

The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:

x = rcosθ

y = rsinθ

Thus, [tex]x^2 + y^2 = r^2[/tex]

[tex]x^2 + y^2 = 11x[/tex]

[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]

[tex]r^2 = 11r cos \theta[/tex]

Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]

Therefore, the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

The required region is,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

Given circle is,

[tex]x^2 +y^2 = 11x[/tex]

Computation:

Solving the given circle,

[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]

Adding [tex]\frac{11}{2}[/tex] both sides we get,

[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]

It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]

So, in polar coordinate,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

Learn More:https://brainly.com/question/12482360

which is right??????

Answers

Answer:

the distance from a to c is 10

Step-by-step explanation:

this is because the line in the middle divides the angle into equal sizes what the marks mean on it    

Answer:

the distance from A to C is 10units

Step-by-step explanation:

A to B and A to C share the same distance

Plisss some one can help me!!!

A project manager estimates that a project will take
x hours to complete, where x > 100. The goal is for
the estimate to be within 10 hours of the time it will
actually take to complete the project. If the manager
meets the goal and it takes y hours to complete the
project, which of the following inequalities
represents the relationship
between the estimated
time and the actual completion time?

Answers

Answer:

x ≥ x/y

Step-by-step explanation:

It somehow varies with variation.

I
Table 1: multiple regression estimates.
reg sleep age toturk
Source
SS
df
MS
Model
Residual
15155229.8
124084606
2
703
7577614.89
176507.263
Number of obs
F(2, 703)
Prob > F
R-squared
Adj R-squared
Root MSE
706
42.93
0.0000
0.1088
0.1063
420.13
Total
139239836
705
197503.313
sleep
Coef.
Std. Err.
t
P>It!
[95% Conf. Interval]
age
toturk
cons
2.923879 1.396712
-.14901071 .0167207
34597201 68.11787
2.09
-8.91
50.93
0.037
0.000
0.000
.1816517
-.1818393
3335.462
5.666105
-.1161822
3602.939
Calculate the regression coefficients in the above table by hand, using the statistics below and the
formulas in Ben's Chapter 3 notes (“example with k = 2")?
Table 2: variances and covariances.
corr sleep age totwrk, covariance
(obs=706)
sleep
age
totwrk
sleep
age
totwrk
197503
455.554 128.655
-135324 -532.718
897700

Answers

Answer:

sleep ia word qjwjnwjeje

Rewrite the expression 10 to the -3 power

Answers

Answer: 0.001 or 1/1000

Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.

Have a good day! : )

which value for x makes the sentence true? 1/40 + x = 1/8

Answers

Answer:

x = 1/10

Step-by-step explanation:

1/40 + x = 1/8

Subtract 1/40 from each side

1/40-1/40 + x = 1/8-1/40

x = 1/8 - 1/40

Get a common denominator

x = 1/8 *5/5 - 1/40

x = 5/40 - 1/40

x = 4/40

Simplify

x = 1/10

PLZZZZ HELP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Unlikeley: 0.6

likely: 0.35

Impossible: 0

Certain: 0.5

Equally: 0.9

unlikely: 1

Hope This Helps! :)

Inequalities (Please help!)

Answers

Answer:

x < x and -3x < -3x

Step-by-step explanation:

x cannot be less than itself so there would be no solution.


Which of the following is an irrational number?
81/37

85
25
47

Answers

47 is an irrational number

leave answers as simplified radicals ​

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{\sqrt{48} }{4\sqrt{3} }=\frac{\sqrt{16} }{4}=\frac{4}{4}=\frac{1}{1}=1[/tex]

Use the points H(-4,3) and K (4,3)

Answers

Y=3 can you be specific like the midpoint or ...
The midpoint is (0,3)

solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15

Answers

Answer:

[tex]f \leqslant 3[/tex]

Step-by-step explanation:

[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]

plz help i need to rase my grade

Answers

The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.

In this problem,

The average = $1000

the amount of terms = 3

x = the amount earned Sunday

($1073 + $1108 + x) / 3 = $1000

First, multiply both sides by 3

$1073 + $1108 + x = $3000

Add together like terms

$2181 + x = $3000

Subtract $2181 from both sides.

x = $819

The restaurant needs to earn $819 on Sunday to have an average of $1000

what is
(-1/3)+1/4+(-1/5)

Answers

Answer:

-17/60

Step-by-step explanation:

(-1/3)+1/4+(-1/5)

Gerry had a coupon for $0.25 off a
frozen pizza. The grocery store
has a special triple coupon deal
and allows customers to use a
single coupon on up to five
items. By how much would his
total grocery bill change if Gerry used the coupon to buy five frozen
pizzas?

Answers

Multiply.

0.25 * 5 = $1.25 in savings

So whatever the original price was for each frozen pizza, you multiply that by 5 and subtract that by the total savings.

Best of Luck!

Answer:

1.25

Step-by-step explanation:

0.25*5

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