3 pounds to 24 ounces write each ratio in simplest form

Answers

Answer 1

Answer:

2:1

Step-by-step explanation:

First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1

Hope this helps :)

Answer 2

The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.

Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Learn more about ratios here:

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Related Questions

What is the answer for this?

Answers

12+c-2d. Distribute the 4 to everything in the ( ). The multiply and reduced

Xavier's teacher gave an extra / of a grade point for each correct bonus question on a test. Xavier answered 9 bonus questions correc
How many extra points did he earn?

Answers

Hi there! Your answer to this question would be 90%..

Step By Step Explanation:

So we know that 100% is the average grade for an correct for an entire test.

But how can we find 90%?

Let think like this. 10=100%.

Well if 10 is 100% then 9 would be 90% since every 1 of 10 is 10%.

Final Result: 90%

A track and field coach wants to analyze the effect of sports drinks on the performance of his athletes. He decides to test three brands: Powerade, Gatorade and Vitaminwater. He will have each of the athletes complete a 400 meter run and record their times. Which of the following represents a confounding variable?

a. He decides to give all male athletes Gatorade and the female athletes eitherPowerade or Vitaminwater.
b. Yes ­ gender would be confounded with sports drink since we cannotdistinguish their effects from each other.
c. He allows each athlete to choose their favorite drink from a cooler.
d. He has some of the athletes drink the sports drink two hours beforerunning,others one hour before running, and the rest 30 minutes beforerunning.
e. He has some of the athletes drink Gatorade two hours before running, othersdrink Powerade one hour before running, and the rest Vitaminwater half anhour before running.
e. Yes ­ sports drink would be confounded with timing of the drink, since wecould not distinguish their effects from each other.

Answers

Answer:

A, D,

A.) He decides to give all male athletes Gatorade and the female athletes eitherPowerade or Vitaminwater.

D.) He has some of the athletes drink the sports drink two hours beforerunning,others one hour before running, and the rest 30 minutes beforerunning.

Step-by-step explanation:

Confounding variables could be described as variables which introduces elements that causes unwanted relationship between measured variables in data. Such that observed relationship is actually not as a result of the independent variable.

The confounding variables in the options chosen are gender and timing of the consumption and when the athletes eventually ran.

As for gender, male athletes are expected to put up a better running speed and energy than women and Hence would finish the rate faster based on these fact. Hence, it will be wrong to conclude that Gatorade has Better effect on performance.

As for timing, those who run shortly after taking an energy drink are more likely to be boosted that those who take much later and this the effect may not necessarily be in the type of energy drink consumed.

Confounding variables are the variables which are not related to the experiment.

Gender would be confounded with sports drink since we cannot distinguish their effects from each other.Sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.

What is confounding variable?

Confounding variables are the variables which are not related to the experiment. Confounding variables provides the affects the useless results and affects the experiment.

Given information-

The total number of meters the athletes runs is 400 meters.

The sports drink given to athletes are Powerade, Gatorade and Vitamin water.

The given options are,

a) He decides to give all male athletes Gatorade and the female athletes either Powerade or Vitaminwater- As the male atheletes likely have more power and energy to run than the female athletes. Thus this can ruin the experiment.

b) Yes ­gender would be confounded with sports drink since we cannot distinguish their effects from each other.

c) He allows each athlete to choose their favorite drink from a cooler- To choose favorite drink does not affect the experiment.

d. He has some of the athletes drink the sports drink two hours before running, others one hour before running, and the rest 30 minutes before running- The athletes who have taken drink just before the race, have more energy. Thus it is a confounding variable.

e. He has some of the athletes drink Gatorade two hours before running, others drink Powerade one hour before running, and the rest Vitamin water half an hour before running-similar effect as the in the above case with the timing for this option.

f). Yes ­ sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.

Hence,

Gender would be confounded with sports drink since we cannot distinguish their effects from each other.Sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.

learn more about the confounding variable here;

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Calculate the product:
2/9 x 63

A.
7

B.
14

C.
18

D.
45

Answers

Answer:

14

Explanation: 2/9x 63= 2x 63/9= 2x7

Answer:

14

Step-by-step explanation:

i believe so....

The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?

Answers

Answer:

The correct answer should be A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

In HIJ h=38 inches, I=45 inches and j=61 inches. Find the measure of H to the nearest degree

Answers

Answer: 38

step by step

deltamath

Answer:

38

Step-by-step explanation:

The price of a shirt has been discounted by $20. The sale price is $24.95. What percent of the original list price is the discount?
(a) Use the verbal description to write a verbal model.
o change in price = (original price)/(percent)
o change in price = (percent)(original price)
O change in price = (percent) - (original price)
o change in price = (original price) + (percent)
O change in price = (percent)/(original price)
(b) Assign labels to the quantities in the verbal model.
--Select-
= 20
---Select-
---Select-
= 44.95
(C) Use the labels to write a mathematical model.
(d) Solve the problem. (Round your answer to the nearest whole number.)
%

Answers

Answer:

this is an example

Step-by-step explanation:

There are a few different ways to approach this problem, including the following two methods.

 

1) Find 20% of the original price, then subtract that amount from the original price. 

    To find a percentage of a number, you multiply the number by the percentage.  (You are finding a part of a whole.)

    

                   20% = 20/100 = 1/5    or   20% = 0.20

 

    Original Price: $24   Find 20% of $24.                         (Note: "of" is taking part of a whole, so you multiply.)

                

                    0.20 x 24 = 4.80            This is the mark down, or the amount you subtract from original price.

   

    Sale Price = Original Price - Mark Down   

                   =   24.00 - 4.80

                   =   19.20

 

2) If you save 20%, you are still paying 80%. (100-20 = 80) Therefore the sale price is 80% of the original price.

 

                    80% = 80/100 = 4/5     or    80% = 0.80

 

     Sale Price = 80% of Original Price

                    = 0.80 x 24

                    = 19.20

 

Help me !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0 isnt a number loll

Step-by-step explanation:

B

Need help on only 27 please need ASAP thanks

Answers

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

help! is it e? I’ll give u Brainly

Answers

Answer:

B

Step-by-step explanation:

If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.

Answer:

E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)

Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacement. Let X denote the number of defective batteries in the sample. Find the probability that the sample contains a) Exactly one defective battery b) at most one defective battery. c) at least one defective battery.

Answers

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ =  [tex]\frac{4!}{1! (4 - 1 )!}[/tex] × [tex]\frac{6!}{2! (6 - 2 )!}[/tex]

                                                                            = [tex]\frac{4!}{(3)!}[/tex] × [tex]\frac{6!}{2! (4)!}[/tex]

                                                                            = [tex]\frac{4.3!}{(3)!}[/tex] × [tex]\frac{6.5.4!}{2! (4)!}[/tex]

                                                                            = [tex]4[/tex] × [tex]\frac{6.5}{2.1! }[/tex]

                                                                            = [tex]4[/tex] × [tex]15[/tex] = 60

Total Number of possibility = ¹⁰C₃ = [tex]\frac{10!}{3! (10-3)!}[/tex]

                                                        = [tex]\frac{10!}{3! (7)!}[/tex]

                                                        = [tex]\frac{10.9.8.7!}{3! (7)!}[/tex]

                                                        = [tex]\frac{10.9.8}{3.2.1!}[/tex]

                                                        = 120

So, probability = [tex]\frac{60}{120} = \frac{1}{2} = 0.5[/tex]

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility  = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility   = ⁴C₀ × ⁶C₃

                   =  [tex]\frac{4!}{0! (4 - 0)!}[/tex] × [tex]\frac{6!}{3! (6 - 3)!}[/tex]

                   = [tex]\frac{4!}{(4)!}[/tex] × [tex]\frac{6!}{3! (3)!}[/tex]

                   = 1 × [tex]\frac{6.5.4.3!}{3.2.1! (3)!}[/tex]

                   = 1× [tex]\frac{6.5.4}{3.2.1! }[/tex]

                   = 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = [tex]\frac{80}{120} = \frac{8}{12} = 0.66[/tex]

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility  = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility   = ⁴C₂ × ⁶C₁

                   =  [tex]\frac{4!}{2! (4 - 2)!}[/tex] × [tex]\frac{6!}{1! (6 - 1)!}[/tex]

                   = [tex]\frac{4!}{2! (2)!}[/tex] × [tex]\frac{6!}{1! (5)!}[/tex]

                   = [tex]\frac{4.3.2!}{2! (2)!}[/tex] × [tex]\frac{6.5!}{1! (5)!}[/tex]

                   = [tex]\frac{4.3}{2.1!}[/tex] × [tex]\frac{6}{1}[/tex]

                   = 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility   = ⁴C₃ × ⁶C₀

                   =  [tex]\frac{4!}{3! (4 - 3)!}[/tex] × [tex]\frac{6!}{0! (6 - 0)!}[/tex]

                   = [tex]\frac{4!}{3! (1)!}[/tex] × [tex]\frac{6!}{(6)!}[/tex]

                   = [tex]\frac{4.3!}{3!}[/tex] × 1

                   = 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = [tex]\frac{100}{120} = \frac{10}{12} = 0.83[/tex]

PLEASE HELP ME!!!!
For the given functions f and g, find the indicated composition.
f(x) = -6x +5, g(x) = 2x + 8; (g of)(x)
A. - 12x - 2
В.- 12x + 53
C. 12x + 18
D.- 12x + 18

Answers

Answer:

D. -12x + 18

Step-by-step explanation:

f(x) = -6x +5; g(x) = 2x + 8

[g o f](x) = g(f(x))

this means that in g(x), everywhere there's an x, f(x) replaces it. [g o f](x) is represented at the following: (f(x) is in bold)

g(f(x)) = 2(-6x +5) + 8                  distribute the 2 to (-6x + 5)

g(f(x)) = -12x + 10 + 8                   combine like terms

g(f(x)) = -12x + 18

Pls help me here
Look at the picture help!!

Answers

Answer:

x=13.5

Step-by-step explanation:

that is my answer

An employee spent 60 minutes responding to 8 email message ,how much time did the employer spend responding to each email message

Answers

Answer:

So in order to get your answer all you need to do is divide 60 by 8 to get your answer

Step-by-step explanation:

Answer= 7.8 mins

The employee spent 7.5 minutes per mail.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an an employee spent 60 minutes responding to 8 email message.

The employee spent 60 minutes responding to 8 email message. This means that he would spent (60/8) or 7.5 minutes per mail.

Therefore, the employee spent 7.5 minutes per mail.

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what is the x-intercept of the function graphed below?
A. (2,0)
B. (0,-4)
C. (0,2)
D. (-4,0)​

Answers

9514 1404 393

Answer:

  A.  (2, 0)

Step-by-step explanation:

The x-intercept is the point where the line crosses the x- (horizontal) axis. The coordinates there are (2, 0).

A number is greater than 8. The same number is less than 10. The inequalities x> 8 and x < 10 represent the situation Which best explains the number of possible solutions to the inequality? There is one solution because 9 is the only number between 8 and 10. There are a three solutions because 8, 9, and 10 are possible solutions. There are a few solutions because there are some fractions and decimals betwee There are infinite solutions because there is always another number between any two numbers?​

Answers

Answer:

there are few solutions

Step-by-step explanation:

because for example 8.1 is between 8 and ten

8.1735282

is between 8 and 9

Evaluate the expression for a=3 and b=1/4. 5a−16b+7

Answers

Answer:

18

Step-by-step explanation:

you have to multiply 5 and 3(which gives you 15) first, then move on to16 times 1/4 which gives you 4 then just add 7 and your done.

According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 4x2 - 6x2 + 9x + 10

A.5/4
B.1/3
C.-1/2
D.5
E.6
F.-2

Answers

Given:

The polynomial function is

[tex]F(x)=4x^3-6x^2+9x+10[/tex]

To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of [tex]\dfrac{p}{q}[/tex], where, p is a factor of constant and q is the factor of leading coefficient.

We have,

[tex]F(x)=4x^3-6x^2+9x+10[/tex]

Here, the constant term is 10 and the leading coefficient is 4.

Factors of constant term 10 are ±1, ±2, ±5, ±10.

Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

[tex]x=\pm 1+,\pm 2, \pm 5, \pm 10,\pm \dfrac{1}{2}, \pm \dfrac{5}{2}, \dfrac{1}{4}, \pm \dfrac{5}{4}[/tex]

Therefore, the correct options are A, C, D, F.

Which is not a correct name for the line showing?

Answers

Answer:

The third one

Step-by-step explanation:

mP is not correct

"My friend here Justin, he's already taken, and he's cracked at Fornite my guy.

I've been contemplating this video a ton of late. I've been considering the video since it gives a provocative message and keen editorial about enslavement and fixation.

To start with, we should take this word by word. The initial segment of the primary sentence; the principal shimmer of gold, is "My companion here Justin" An everyday sentence from the outset, however kindly recollect what I said, to arrive at the pot of gold at the focal point of the cavern of incongruity is justified, despite any trouble. This little portion of the sentence addresses that the storyteller has a companion named Justin. The principal word is possessive; my, and companion here addresses the kid before the camera is indeed Justin, showed by the storyteller naming Justin just after saying companion here. how the storyteller we never see, and even the way that we never see the storyteller entreats us to embed ourselves into them, to place ourselves into their point of view.

"He's now taken" This passage is clear as crystal, aside from one section. "He" shows the subject of the sentence; Justin, is "now" demonstrating that Justin has as of now and is "taken". The virtuoso of this sentence is unpretentious yet significant pleasantry in "taken", as in the old style utilization of this sentence it would imply that Justin is associated with a sentimental or sexual relationship.

"Also, he's cracked at Fortnite" the biggest portion, consequently the one generally stuffed with significance, this selection is the zenith of the multitude of different passages of the sentence. "Also, expands on the last selection demonstrating this is the continuation of the story, and "He's cracked at Fortnite" is the star proclamation of this extract.

"My person". "My person" can allude to numerous things, the storyteller could be alluding to Justin or some obscure outsider. I would excuse the chance of the storyteller alluding to an outsider nonetheless, on the grounds that so far there has been no sign of any outsider in the sum of the video. All things being equal, I think "My person" is alluding to you, the watcher, audience, and peruser. The explanation the storyteller removes time from his day to effectively allude to the eyewitness is on the grounds that the storyteller makes a particular highlight incorporate you, in this manner demonstrating that you are, with regards to the story, in the room noticing Justin.

In general, this show-stopper addresses the narrative of a man's compulsion breaking him while fusing the absolute best incongruity and pleasantry I've ever seen, all done in one video, eight seconds, one sentence, and fourteen words. The incongruity choice and diverting, and the pleasantry smart, this is a provocative piece of media that I would never expect to completely examine, for this remarkable piece of media is worth undeniably more than 200 40,000 words.

Answers

Answer:

i dk what to say

Step-by-step explanation:

Answer:

hhahahha i need my points on my alt account

Step-by-step explanation:

let me answer!!!!!!!!!

write three hundred and sixteen thousand, two hundred and twenty-ninety in numerical form​

Answers

Answer: 316,229

Step-by-step explanation:

which table shows a proportional relationship between x and y ?

Answers

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

[tex]k = \frac{y}{x}[/tex]

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{2}[/tex]

[tex]k = 2[/tex]

x = 4, y = 9

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{9}{4}[/tex]

[tex]k = 2.25[/tex]

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{3}[/tex]

[tex]k = 1.33[/tex]

x = 9, y = 16

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{16}{9}[/tex]

[tex]k = 1.78[/tex]

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

x = 5, y = 15

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{15}{5}[/tex]

[tex]k = 3[/tex]

x = 6, y = 18

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{18}{6}[/tex]

[tex]k = 3[/tex]

This shows a proportional relationship because all values of k are the same for this table

Given u( – 5) = -5, u'( – 5) = 2, U( – 5) = 6, v'( – 5) = 4, find w'( – 5).
Give exact answers.
a. w(2) = 5u(2) + 8v(2)
w'(-5) =
b. w(x) = u(z)v(3)
w'(-5) =
u(30)
c. W(2) =
v(x)
w'(-5) =
u(2)
d. W(x) =
u(2) + v()
w'(-5) =

Answers

(a) w(x) = 5u(x) + 8v(x)

Differentiating with the sum rule gives

w'(x) = 5u'(x) + 8v'(x)

so that

w' (-5) = 5u' (-5) + 8v' (-5)

… = 5×2 + 8×4 = 42

(b) w(x) = u(x) v(x)

Differentiate using the product rule:

w'(x) = u'(x) v(x) + u(x) v'(x)

Then

w' (-5) = u' (-5) v (-5) + u (-5) v' (-5)

… = 2×6 + (-5)×4 = -8

(c) w(x) = u(x) / v(x)

Quotient rule:

w'(x) = (u'(x) v(x) - u(x) v'(x) ) / v(x) ²

Then

w' (-5) = (u' (-5) v (-5) - u (-5) v' (-5) ) / v (-5)²

… = (2×6 - (-5)×4) / 6² = 32/36 = 8/9

(d) w(x) = u(x) / (u(x) + v(x) )

Chain and quotient rule:

w'(x) = (u'(x) (u(x) + v(x)) - u(x) (u(x) + v(x))' ) / (u(x) + v(x)

… = (u'(x) (u(x) + v(x)) - u(x) (u'(x) + v'(x))) / (u(x) + v(x)

Then

w' (-5) = (u' (-5) (u (-5) + v (-5)) - u (-5) (u' (-5) + v' (-5))) / (u (-5) + v (-5)

… = (2×((-5) + 6) - (-5)×(2 + 4)) / ((-5) + 6)²

… = (2×1 + 5×6) / 1² = 32

how do you solve for x? 3 + 2x = 4y​

Answers

Answer:

x= 2y - 3/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=2y - 3/2

Step-by-step explanation:

A researcher initially plans to take an SRS of size 160 from a certain population and calculate the sample mean. Later, the researcher decides to increase the sample size so that the standard deviation of the sampling distribution of will be half as big as when using a sample size of 160.

What sample size should the researcher use?

Answers

Answer:

640

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the researcher should use a sample size of 640.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. From this, we can take that the standard deviation is inversely proportional to the square root of the sample size.

Hence, for the standard deviation to be cut be half, the sample size has to be multiplied by 4, which means that it should be of 4 x 160 = 640.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475

What is 6(8) + 4(23)? Ty !

Answers

Answer: 140

Step-by-step explanation:

6(8) = 48

4(23) = 92

48 + 92 = 140

Because of this, 6(8) + 4(23) = 140.

Answer: 41 i think

Step-by-step explanation:

5/8 * z = 1/2 what is the value of z

Answers

Answer:

z = 4/5

Step-by-step explanation:

Frank and Carl do some fundraising for their scout group. Together they raised 237 dollars. If Frank raised m dollars, and Carl raised
137 dollars:
Write an equation that represents the relationship between the amounts each contributed. (Note that we are not looking to solve for m yet.)

Answers

Answer:

237 = m + 137

this is the equation showing the relationship

20 PTS
If a new car payment is $616.67 each month, what is the total car payment for one year?

Answers

Answer:

7400.04

Step-by-step explanation:

Well, if one month is 616.67, then one year is just 12 months. Multiply 6l6.67 by 12, and the answer is 7400.04

what is the degree of f(x) = (x + 3)(x - 1)(2x + 2)?

A. 1 B.2 C.3 D.4

Answers

Answer:

I believe the answer is c) 3

Step-by-step explanation:

f(x) = (x + 3)(x - 1)(2x + 2)

x(x) + x(-1) + 3(x) + 3(-1)

f(x) = (x^2 - x + 3x - 3)(2x + 2)

f(x) = (x^2 + 2x - 3)(2x + 2)

2x(x^2) + 2x(2x) + 2x(-3) + 2(x^2) + 2(2x) + 2(-3)

f(x) = (2x^3 + 4x^2 - 6x + 2x^2 - 6)

f(x) = (2x^3 + 6x^2 - 6x - 6)

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