A student is planning on factoring 4x2 + 36 using difference of two squares (DOTS). Explain why this is an inappropriate method for factoring this expression. Then rewrite the expression by factoring out the greatest common factor (GCF).​

Answers

Answer 1

This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign

The expression by factoring out the greatest common factor is 4(x^2-9)

Given the expression 4x^2 + 36. According to the difference of two square,

a^2 - b^2 = (a-b)(a+b)

For the expression 4x^2 + 36, this can also be written as:

= (2x)^2 + 6^2

= (2x+6)(2x-6)

This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign

Using the factoring method:

4x^2 = 4 * x^2

36 = 4 * 9

Since 4 is common to both of the terms, hence;

4x^2 + 36 = 4(x^2+9)

Hence the expression by factoring out the greatest common factor is 4(x^2-9)

Learn more on GCF and the difference of squares here: https://brainly.com/question/23354973


Related Questions

What is the point slope form of m=-2;(1,2).
I NEED HELP ASAP PLEASE. NO LINK.

Answers

Answer:

y - 2 = -2(x - 1)

Step-by-step explanation:

Point slope form is

y - y₁ = m(x - x₁)

where x₁ and y₁ are a point on the line

We are given (x₁, y₁)  = (1, 2) and m = -2

plugging in

y - 2 = -2(x - 1)

I need help and this is part 1

Answers

Answer:

what is part 2?? ey? ;)

Step-by-step explanation:

jenny is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $94 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B

Answers

Answer:

until 64 miles company A will charge less than company B, they will charge the same price at 65 miles then company B will charge more.

explanation:

94 = 55 + 0.6m

m = (94-55) / 0.6 = 65

The Company A charge less than Company B when the mileage will be more than 65 .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.  

According to the question

Jenny is going to rent a truck for one day.  

Company A :

Charges $94 and allows unlimited mileage.

i.e

Rent of truck for one day = $94

Company B :

Has an initial fee of $55 and charges an additional $0.60 for every mile driven.

Let mile be m

i.e

Rent of truck for one day = $55 +  $0.60m

Now, Company A charge less than Company B for mileages

For that we will first find equal point by making both Company's rent equal

Company's A Rent of truck for one day = Company's B Rent of truck for one day

The equation will be :

[tex]94 = 55 + 0.60m[/tex]  

[tex]39 = 0.6m[/tex]

m = 65

So, at 65 miles both company will rent same but after 65 miles Company B will charge more than Company A .

Hence, The Company A charge less than Company B when the mileage will be more than 65 .

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Describe the graph of a quadratic function.

Answers

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis.

i have 2 pinapple farms the rayio of their perimeter is 5:8 and the perimeter of the larger farm is 80 yards fencing cost$0.50 a yard if i want to buold a fence around the smaller farm how much will it cost me

Answers

Answer:

$40

Step-by-step explanation:

If the perimeter of the larger farm is 80 yards in a 8:5 ratio, the perimeter of the smaller farm will be 50 yards.

Multiply this value by the cost of 0.50 per yard to get $40.

identify the slope and the y-intercept​

Answers

Answer:

slope:-1/2 y-intercept:3

Step-by-step explanation:

Answer: slope: -1/2

y-intercept: 3

Step-by-step explanation:

the line intercepts the y-axis at 3

What is 3x3x3x3x6x6x7=

Answers

Answer:

20412

Step-by-step explanation:

because I mutiply everything together

Answer:   3024

Step-by-step explanation:  

4x3=12

12x6=72

72x6=432

432x7=3024

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 60 km/hr, while the airplane is flying at speed 185 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing?

Answers

Answer:

D^2 = (x^2 + y^2) + z^2

 

and taking derivative of each term with respect to t or time, therefore:

 

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

 

divide by 2 on both sides,

 

D*dD/dt = x*dx/dt + y*dy/dt

 

Need to solve for D at t =0,  x (at t = 0) = 10 km,  y (at t = 0) = 15 km

at t =0,

 

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

 

D = sqrt(329)

 

Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0

 

dD/dt = (x*dx/dt + y*dy/dt)/D  =  (10*190 + 15*60)/sqrt(329)  = (1900 + 900)/sqrt(329)

 

= 2800/sqrt(329) = 154.4 km/hr

 

154.4 km/hr

Step-by-step explanation:

-2/5x - 9 < 9/10

Show work used to solve please :)

Answers

-2/5x - 9 < 9/10

-2/5x-9+9<9/10+9

-2/5x<99/10

(5/-2)*(-2/5 x)<(5/-2)*(99/10)

x>-99/4

Helen is training for the Chicago marathon, so she plans to run 10 miles in her neighborhood
this weekend. Her usual pace is 8 minutes per mile. If she generally drinks 0.5 cups of water
every 20 minutes, how many fluid Ounces of water should she bring on her run?

Answers

Answer:

64 fluid ounces

Step-by-step explanation:

10*8*0.5/20=10*8*1/20=8

8 cups

convert to ounces

8*8=64

Answer:

The answer is 12

Step-by-step explanation:

b.
Maria's cal gets 23 miles to the gallon. How many miles is her round trip to work

Answers

Answer:

insufficient infomation.

You charge a customer $62.48 for an article. He gives you a check for $100. How much change is due him? $

Answers

his change would be : $37.52
explanation: because $100- $62.48= $37.52

GIVING BRIALIST!!!! (IF YOU SHOW THE STEPS THAT YOU TOOK TO SOLVE )
ex(1 ADE=61 ∠ADE=61 ∘ reason- Given)
if you don't know the answer don't press answer for points! Cause I wouldn't do that to any of y you!!!

Answers

Answer:

49

Step-by-step explanation:

<EDA + <ADC = 180 (half an angle)

So:

180 - 61 = 119 = <ADC

The interior angles of the quadrilateral add up to 360- we already know three of them, so:

73 + 119 + 119 + C = 180 ->

311 + C = 180 ->

C = 180 - 311 ->

C = 49

:)

I'm having trouble with his question. Can some help me?

Answers

Answer:

34ft

Step-by-step explanation:

Line OQ is 46ft which is half of line SR which was 92ft. This means that half of line SP is the same as line QP or g: 68 ÷ 2 = 34. Therefore, g = 34ft

Hope this helps!

Patrick has $5300 in his college savings account. When he starts college, he withdraws $870 from his account every month. Based on this information, which equation best represents the relationship between the number of months, x, and the amount of money left in his savings account, y?


y=−870x+5300

y=870x−5300

y=5300870x

y=870x+5300

Answers

Answer:

its the second one y=870x-5300

Step-by-step explanation:

Noah and James are each paid $15 per hour. However, this week Noah received a $60 bonus. Given that N and J represent the number of hours worked by Noah (N) and James (J), which expression can be used to represent their combined earnings for the week?

Answers

Answer:

15N+15J+60

Step-by-step explanation:

We know that Noah and James each receive $15 per hour. That means that to get the money one of them earned in a week, we multiply the money they earn ($15) by the hours they worked (N or J):

15 × N is what Noah earned.

15 × J is what James earned.

Combining those are just 15N + 15J. Then, we add the bonus Noah received ($60) to get their total combined earnings:

15N+15J+60

Answer:

15N+15J+60

Step-by-step explanation:

Which of the following has 4 significant figure? B. 0.001 A. 7560 C.4.100 D. 4.0001​

Answers

Answer:

A

Step-by-step explanation:

the zero is significant

7540

convert 0.35 into fraction

Answers

Answer: 7/20

hope this helps XD

The fish tank was $50 yesterday, and today it
has gone up by 25%... What's the new price?

Answers

Answer: $62.5

Step-by-step explanation:

50 x 25% = 12.5

50+12.5=62.5

A weather forecaster reported that the total amount of rainfall for the month was 0.75 inch. He also reported that this amount was 0.55 inch below the average of rainfall for the same month during the last ten years. The forecaster summarized his findings in this table.



Rainfall Findings

Amount of rainfall for the month: 0.75 inch

Compared to the average amount of rainfall for the month: -0.55 inch

What was the average amount of rainfall, in inches, for this month during the last ten years?

Answers

Answer:

65years a that’s it uiiijya

Step-by-step explanation:

hope this helps

plz mark as brainliest

had this answer got it right off edge


Is the answer A B C D will mark as brainly

Answers

Answer:

c dkdkk

yes cause i said so

PLESE HELP I DONT UNDERSTAND PROBABILITY

Answers

Answer:

D. 1/2 ≈ 0.083

Step-by-step explanation:

So for the coin there is a 1/2 chance because there are two sides, and only one will be "right." For the side-sided dice, there is a 1/6 chance using the same thinking as the coin.

We can multiply them by each other,

1/2 * 1/6 = 1/12

So the correct answer is D. 1/2 *about* 0.083

I hope this helps, have a nice day! :D

Help can’t figure it out. It’s quadratic function

Answers

Answer:

a < -1

Step-by-step explanation:

    The question is asking what coefficient a could possibly be. By comparing the blue and red parabolas, it can be observed that the red parabola has been flipped and vertically stretched. Let's break this down.

    First, in order for the red parabola to mirror the blue parabola, it needs the opposite sign. The blue parabola's coefficient is positive. In order to mirror this, the red parabola's coefficient will need to be negative.

    Lastly, the red parabola has been stretched. In order for the red parabola to stretch, its coefficient has to be greater than 1.

    In conclusion, the red parabola needs to be negative and have a value greater than 1. Therefore, the answer is a < -1.

Alexandria deposits $5,000 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much will be in the account after 4 years?

Answers

Answer:

At the end of 4 years, your savings will have grown to $6,077.

Step-by-step explanation:

The sales tax rate in a certain city is 8%. Find the tax charged on a purchase of $600, and the total cost.

Answers

hey so im just going to say its 69
Tax:
$600 x .08 = $48

Total:
$600 + $48 = $648

HELPPPPPP PLEASE IM GONNA FAILLLLL!!!!

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

3. Find the value of the following

10² + 4³

1. 164
2. 32

Answers

The answer to your question is 164 !!!

i need help with this question please

Answers

Answer:

look at the photo...............

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?
4
V=
O V-14)
ON=(4)
O V-300
= 3 108)
OV=
8
2
O V=
V
(

Answers

Answer:

V = 268 cubic inches

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]V = \frac{4}{3} \pi (4^{3} )[/tex]

[tex]V =\frac{4}{3}\pi (64)[/tex]

V = 268.0825731

V = 268

The volume of the sphere with radius 4 inches is V = 268.08 inches³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 4 inches

Let the volume of the sphere be V

So , Volume of a Sphere = ( 4/3 ) πr³

Substituting the given value of the radius, r = 4 in, we get:

V = (4/3)π(4³)

V = (4/3)π(64)

V = 268.08 inches³

Hence , the equation that finds the volume of the sphere is

V = (4/3)πr³ = (4/3)π(4³) = 268.08 inches³

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3 căn x bằng 6
căn x trừ 3 bằng 5

Answers

Answer:

x=4

x=64

Step-by-step explanation:

3[tex]\sqrt{x}[/tex]=6 => [tex]\sqrt{x}[/tex] = 2 => x=4[tex]\sqrt{x}[/tex] - 3 = 5 => [tex]\sqrt{x}[/tex] = 8 => x=64
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