Mathematics High School

Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12

Answers

Answer 1

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

Factor [tex]6r^2+14r-12[/tex]

[tex]6r2+14r-12[/tex]

[tex]=2(3r-2)(r+3)[/tex]

Answer 2

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

[tex]6r^2+14r-12[/tex]

Start by factoring out the greatest common factor, [tex]2[/tex]:

[tex]2(3r^2+7r-6)[/tex]

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

[tex]2(3r-2)(r+3)[/tex]

_

To check:

(Multiply First, Outside, Inner, Last):

[tex]2(3r^2+9r-2r-6)[/tex]

Combine like terms:

[tex]2(3r^2+7r-6)[/tex]

Distribute the [tex]2[/tex]:

[tex]6r^2+14r-12[/tex]

Related Questions

Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers

Answers

Answer:

12

Step-by-step explanation:

No. of red flyers = 6

No. of blue flyers = 4

We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.

Prime factorization of 6 = 2×3

Prime factorization of 4 = 2×2

Lowest common multiple of 6 and 4 = 12

Hence, there are 12 minimum number of flyers of each color

Describe or show how to find the following product using both an algorithm and a diagram:

3 x 3/4

Answers

Answer:

Explanation:

PART 1. Using an algorithm:

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.

Step-by-step explanation:

Answer:

hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah

Step-by-step explanation:

this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha

hey please help this is really important (first to answer i will give brainlyiest) after some else answers

Answers

Answer:

can u type out the question i cant see the photo i will help thou

Step-by-step explanation:

Answer:

29

-26

Step-by-step explanation:

the equation of f(x) is given. to find f(8) just apply 8 in the place of x in the equation

same method for f(-3) just apply -3 in place of x

When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five places to the right. b It moves ten places to the right. c It moves five places to the left. d It moves ten places to the left.

Answers

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.  

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell

Answers

It’s 16 cause 8x2=16

What is the distance between 9 and 11?

Answers

Answer:

2

Step-by-step explanation:

11-9 is 2

The distance between 9 and 11 is 2 because 11-9=2


A line passes through the HELP ME PLEASE
point (4, -6) and has a slope of -3/4. Which is the equation of the line?
O y=-x-3
O y=-x-6
O y=-3x-
3
4
3
O y=-6x-

Answers

Answer:

i hope this helps

Step-by-step explanation:

ggbsus dvrjsjagaubs don't mind this

1.) plz Find the measure of angle B
B
65
30
A
с
O x = 80
X = 85
O x = 90
O x = 95

Answers

X=85

I hope this helps

Answer:

eu acho que é a C

e um belo dia abençoado

Jason left his house at 9:58 A.M. He arrived at
the baseball field 16 minutes later. At what
time did Jason arrive at the baseball field?

Answers

Answer:

10:14

Step-by-step explanation:

He arrived to the baseball field at 10:14 A.M.

Which point represents (5,-3) on the graph?

Answers

Answer:

Point D

because you go 5 to the right and 3 down.

D

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Incorrect
00:00
The map shows the beach area on a coordinate plane.
Find the distance from the car to the cabana and then from the cabana to the beach.
Car
3-
Cabana
Beac
-5
-3
101
2
3.
5.


Answers

Answer:

I really need help on this one but I got 9 could you tell me if it’s right?

Step-by-step explanation:

What is the slope of the table below? (Pls hurry)

Answers

Ndndndnfnfhfjcjcj 1.5

Jane baked the kinds of fruit bars shown in the table below.

Kind of Fruit Bar Number
Apple

51
Peach

36
Plum

84
Part A

Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?

Answers

Answer:

I THINK the answer is 57

Step-by-step explanation:

Add 51 + 36 + 84

Divide 171 by 57

57 is the most that can go into 171 evenly.

Determine the measure of ∠Y. images attached

Answers

Answer:

The answer is option C

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]

We have the final answer as

51.34°

Hope this helps you

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus

∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

The sum of three consecutive odd numbers is 69. What is the biggest number?

Answers

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

Factor complete x^2 +2x-15

Answers

Answer:

( x - 3 ) ( x + 15 )

Step-by-step explanation:

Answer:

3  and  5 , as  − 3 + 5 = 2  

∴ ( x − 3 ) ( x + 5 )

You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
long will it take you to make the trip?

Answers

Answer:

3 3/4 or 3.75 hours.

Step-by-step explanation:

If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.

300 / 80 = 3.75 hours

someone help me please​

Answers

Answer:

1) ZYU

2) ZY

3)TX

Step-by-step explanation:

U look at one segment and see whats the opposite almost like a reflection (make sure u double check the first one)

Answer:

plane ZYU

line ZY

line TX

Step-by-step explanation:

6. What would a+c< 100 mean in this situation?|

Answers

Answer:

Sum of a and c is less than 100.

Step-by-step explanation:

^

What is the value of x?
G
Yo
530
45°
F
H

Answers

Answer:

Don t get the question

Step-by-step explanation:

Area of dog crate
6 meters and 4 meters

Answers

Answer:

24 meters

Step-by-step explanation:

L × W = A6 × 4 = 24 meters

I hope this helps!

Answer:

24 meters

Step-by-step explanation:

you do 6 times 4

20b-16




Please help I will mark you

Answers

Hey :)

20b−16


Factor out 4

= 4(5b−4)

Hope this helps :)

Javier works 2 and 2 over 5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?

Answers

I don't really understand the "2 and 2 over 5 hours" part Javier will be paid 30.75 for Tuesday.

M to the power of 5 n to the power of 3 divided by m to the power of 2 n to the power of -4

please solve fast I will mark the first answer as brainliest and give with step by step explanation ​

Answers

When you divide exponents, you subtract the powers.
m^5/m^2 = m^3
n^3/n^-4 = n^7

Answer is (m^3)(n^7)

find the surface area

Answers

Answer:

The surface area of the box is 496² m.

(11*8)+(11*8)+(11*8)+(11*8)+(8*9)+(8*9)=496

Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and weighed 31 pounds. The dolphin is growing at an average rate of 2.3lbs per day. Write a function that can be used to find the weight, w(x), of the dolphin after x, days.

Answers

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days

solve to simpilist form 3/4/2 . (3 on top of 4/2) :D

Answers

Answer:

5/1

Step-by-step explanation:

You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299. Item 6 Question 1 You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299.

Answers

Answer:

32 hours 30 min

Step-by-step explanation:

Given that your hourly pay is $9.20

say that you work for p hours, then your pay will be 9.20p

we know that p is the number of hours worked.

therefore, to earn  $299 you will need to work

299=9.20p-------1

Solving for p we have to divide both sides by 9.20

299/9.20=p

p=32.5

So you have to work 32 hours 30 min to earn $ 299

The work is doing 32 hours and 30 minutes to earn  $ 299.

Given that:

Your hourly pay is equal to $9.20

Assume that you work for p hours, then your pay will be 9.20p

Also know that p is the number of hours worked.

Therefore, to earn  $299 you will need to work

299=9.20p                   (1)

Solving for p we have to divide both sides by 9.20

299/9.20=p

p=32.5

So, to work 32 hours 30 min to earn $ 299.

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6

What is 5.6 x 10 to the 5th power in standard notation ?

A. 0.000056
B. 560,000
C. 5.6 to the 5th power
D. 5,600,000

Answers

Answer:

B. 560000

Step-by-step explanation:

You move the decimal over 5 times to the right and there is your answer

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