Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

Answers

Answer 1

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer 2

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms


Related Questions

26 beats in 1/6 minute

Answers

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer is 156 beats in one minute.

If 26 beats is in 1/6 of a minute, then multiply 1/6 by 6 to get 1. And multiply 26 by 6 to get 156.

Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7​

Answers

9514 1404 393

Answer:

  M = 141°, N = 39°

Step-by-step explanation:

Supplementary angles have a total measure of 180°, so ...

  M + N = 180

  (6x +3) +(2x -7) = 180

  8x = 184 . . . . . add 4, simplify

  x = 23 . . . . . . . divide by 8

∠M = 6·23 +3 = 141°

∠N = 2·23 -7 = 39°

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

which is the choice to the inequality below?
x/6>7

Answers

Answer:

[tex]x > 42[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} > 7[/tex]

Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].

Simplify it. [tex]x > 42[/tex]

Therefore, the answer is [tex]x > 42[/tex].

Hope this helped! If not, please let me know! <3

Convert to a decimal rounded to the nearest hundredth: 8/11

Answers

Answer:

.72 and on going

Step-by-step explanation:

Name that Ange pair!
Drections Given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. Color the boxes using the color codes below.
3.
7
1
5
418
2
6
Corresponding Angles: Pink
Alternate Interior Angles: Light Blue
Alternate Exterior Angles: Yellow
Consecutive Interior Angles: Light Green
Consecutive Exterior Angles: Orange
No Relationship: Uncolored
9/13
10
14
1115
12
16

Answers

Answer:

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles

∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles

∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles

sry i dont  know which are the consecutive exterior angles

but i hope you understood

<2 and <13 are alternate interior angles

Reason: At the opposite sides of the transversal and fall between

<4 and < 11 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<1 and <16 do not have any direct relationship

<3 and <12 are co-exterior angles

Reason: Same side of the transversal but each of them are outside the  parallel lines

<3 and <5 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<14 and 16 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<1 and <3 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<5 and <10 are alternating exterior angles

Reason: Alternate side of the transversal but each of them are outside the  parallel lines

Learn more here: https://brainly.com/question/20702153

A newborn baby has about 26,000,000,000 cells. An adult has about 1.9 X 10^3 times as many cells as a newborn. About how many cells does an adult have? Write your answer in scientific notation.

Answers

Answer:

1900

Step-by-step explanation:

26,000,000,000 cells = 2.6 x 10^10 (baby cells)

An adult has about 4.94 times 10 to the thirteenth power

(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? please help me fast

Answers

Answer:

i think its c

Step-by-step explanation:

what is the complex conjugate of 6+2i

Answers

It should be the sqrt-8 should be the answer on edg2020

A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.

Answers

Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.

Answers

Answer:

30

Step-by-step explanation:

The mean is equal to the number of trials times the probability.

x = (3/10) (100)

x = 30

We expect to draw a pink marble 30 times.

PLEASE ANSWER WILL GIVE BRAINLIEST!!!

What does a correlation coefficient of 0.76between two assets indicate?

Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.

Answers

D. The two assists are highly correlated.
D I’m pretty sure is the answer

What is the missing exponent? and the numerical answer

Answers

Answer:

? = -4

Step-by-step explanation:

I believe it is -4 because you multiple the exponents so 2*-4=-8.

The last part is function but need help asap

Answers

It would be the top one

Compute -8+2.8+7.3 find the answer

Answers

use the calculator but the answer is 18.1

I need help with this worksheet I don't understand from 12-14​

Answers

Answer:

13.jawaban nya

c.

14.jawaban nya

A.

15.jawaban nya

c.

How did Washington react to failure?

Answers

He wouldn’t respond to the public
Didn’t respond to public about any of his matters

when solving the equation x3 = 22.

Answers

Answer:

x=7 1/3

Step-by-step explanation:

the answer is x = 7 1/3

Please help!! Will Mark brainliest!!

Answers

the answer for this question would most likely be 71

The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answers

Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

the denominator in 6/9.75 is incorrect.

FOR THOSE WHO WANT A CHALLENGE owen has a collection of quarters nad nickels worth 8.10. if the nickels were quarters and the quarters were nickels, the value would be 17.70. find the number of each coin.

Answers

Answer:

Nickels: 67

quarters: 19

Step-by-step explanation:

It's fairly simple if you know how to use algebra

the town of sharon hill is a perfect squre with an area of 9 squares miles the length of each side of town measure how long ?

Answers

Answer:

2.25

Step-by-step explanation:

Since its a perfect square and you know the area, all you have to do it divide 9 by 4

In the picture lines AB and CD are parallel. Find the measures of ∠ECF.

Answers

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
2
1
2
times its birth weight. How many pounds did the baby weigh at the end of 8 months?

Answers

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

   

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?

Answers

Answer: $88.

Step-by-step explanation:

given data:

The cost of the dress for the prom = $22

label of the rack the dresss was on = 50%.

lowest marked price for the dress = 75%.

Solution:

if the lowest marked price of the cloth was already 75%.

and the current cost of the clothe is $22

the original cost of the cloth would be

100% – 75% = 0.25%

= $22 * 100 / 0.25%

= $88.

The original cost of the dress was $88

Answer:

$88

Step-by-step explanation:

Find the equation of a line that passes through the points (1,-3) and (3,-7).
Leave your answer in the form
y=mx + c

Answers

See attachment for math work and answer.

What is the average rates of change of f(x) = x2-5 over the interval [-2,0].

Answers

it’s going to be 4.

NEED HELP FAST

the submarine is at a depth of -166 2/7 feet when the scientists detect a signal frequency from the ocean floor. they dive farther down to a depth of -180 4/7 feet to check the signal. the net change in their depth is [] feet​

Answers

Answer:

-24 2/7

Step-by-step explanation:

-180 4/7 -166 2/7

-180 -166 = -24

4/7-2/7 = 2/7

-24 2/7

Answer:

I hope this helps

Step-by-step explanation:

The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.

Answers

Answer:

dunno if you still need this but the answer is (90-25-15)÷5

Step-by-step explanation:

Fill in each box with the correct numb
5(X+9)=5. +5.

Answers

Answer:

so

box1 = x

box2= 9

Step-by-step explanation:

5(x+9)  

distribute

5(x) + 5(9)

5x + 45

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