Which method would be appropriate to factor the polynomial below. 55x^3-40x^2 -Difference of Squares -Basic Trinomial Factoring -AC Method -Sums of Cubes -Greatest Common Factor -Factors by grouping

Answers

Answer 1

Answer:

Greatest Common Factor

Step-by-step explanation:

Let [tex]55\cdot x^{3}-40\cdot x^{2}[/tex], we proceed to demonstrate the appropriate form to factor the polynomial:

1) [tex]55\cdot x^{3}-40\cdot x^{2}[/tex] Given.

2) [tex](5\cdot 11)\cdot (x^2\cdot x) +[5\cdot (-8)]\cdot x^{2}[/tex] Definition of multiplication and subtraction/[tex]a^{b+c} = a^{b}\cdot a^{c }[/tex]/[tex]-a\cdot b = (-a)\cdot b[/tex]/Associative property

3) [tex](5\cdot x^{2})\cdot (11\cdot x)+ (5\cdot x^{2})\cdot (-8)[/tex] Commutative and associative properties

4) [tex]5\cdot x^{2}\cdot (11\cdot x-8)[/tex] Distributive property/Definition of subtraction/Result

Hence, we conclude that this polynomial can be factored by Greatest Common Factor.


Related Questions

evaluate the expression (3 • 2) to the second power

Answers

Answer:

6

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

3x2 =6

Then 6 to the 2and power and its 36

Select Proportional or Not Proportional to correctly classify each pair of ratios.

Proportional or Not Proportional

12 over 30 and 18 over 45

Answers

Step-by-step explanation:

Given that,

12 over 30 and 18 over 45

We need to tell whether the ratios are Proportional or Not Proportional.

[tex]\dfrac{12}{30}=\dfrac{2}{5}[/tex]

And

[tex]\dfrac{18}{45}=\dfrac{2}{5}[/tex]

The ratio for both fraction is same i.e. 2/5 Hence, each ratios are Proportional.

please help , giving brainliest .. and a thanks !!

Answers

Answer:

B, D, E

Step-by-step explanation:

yes

Please help, will reward brainliest.

Answers

Answer:

$9-11

Step-by-step explanation:

HELP I Will mark brainliest if you explain

Answers

Answer:

(0,5)

(2,1)

(4,-3)

Step-by-step explanation:

so all you have to do is plug in the x value and if the y value comes out to be whatever is matches up with then it is a solution to the equation for example if you plug in 0 to y=-2x+5 then you get 5 and below it says that when x=0 then y=5 which is true so that would be an answer now if you plug in 2 then you get 1 and it says that when x=2 y=9 which is not correct. sorry if this doesnt make sense its so hard to explain virtually

Use the ruler to find 1 / 1/10 and 4 1/10

Answers

Answer:

the first answer is 10 and the second is 40

Step-by-step explanation:

there actually asking how many meters would make 1 centimeter

On the ruler 1 whole centimeter is 10 meter. (The longer line behind the number is the 10th meter )

Dividing fractions

1 ÷ 1/10

Steps

Change the whole number which is 1 into a fraction.

1/1 ÷1/10

Flip the second fraction in the equation.

1/1 ÷ 10/1

Then change the division sign to a multiplication sign. So were multiply instead.

1/1 × 10/1

Multiply the fractions and your answer should be 10/1 .

This fraction is also changed to a whole number.

10/1 = 10

Solve for p. i = prt

Answers

Answer:

p=i/rt

Step-by-step explanation:

its p= i over rt

BRAINLIEST FOR THE CORRECT ANSWER What is the slope-intercept equation for the line below?

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Answer: y = -2x - 1

Step-by-step explanation:

b = -1m = - 2

please...look a the image I would appreciate it... and explain it..to

Answers

Answer:

1) 0.9 = 9/10

2) 2 x (4² - 5) = 2 x (16-5) = 2 x 11= 22

3)  t/4=16 16*4=t 64=t t=64

4) 2.4p=7.56  p=7.56/2.4  p=3.15

5) 8*5=40m² 40*4=160m³ v=160m³

6) 3x=27  x=27/3  x=9

Alina, Robert, and Makayla are on the student council at their high school.
They all want to go to a dinner where student council representatives from
other schools will participate. However, only one student per school can go.
How can a fair decision be made about who goes to the dinner?
Select all that apply.
I A. Roll a number cube. If the number is even, Alina wins. If the
number is 1 or 3, Robert wins. If it's any other number, Makayla
wins.
B. Write each student's name on a slip of paper and put the slips in a
bag. Randomly draw a slip of paper. The student whose name is
on the paper wins.
C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2
or 4, Robert wins. If it lands on 5 or 6, Makayla wins.
D. Flip a coin twice. If both tosses are heads, Alina wins. If both are
tails. Makavla wins. If one is heads and one is tails, Robert wins.

Answers

Answer:

B. Write each student's name on a slip of paper and put the slips in a

bag. Randomly draw a slip of paper. The student whose name is

on the paper wins.

C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2

or 4, Robert wins. If it lands on 5 or 6, Makayla wins.

Step-by-step explanation:

The ways a fair decision can be made about who goes to the dinner from the list of available options is as follows:

B. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins.

C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2  or 4, Robert wins. If it lands on 5 or 6, Makayla wins.What is probability?

Probability is simply how likely something is to happen. This is used whenever one is not sure about the outcome of an event.

Therefore the correct answers are option B and option C.

Read more about probability here:

https://brainly.com/question/24756209

What is the value of x?
-7x + 12 = 5

Answers

Answer:

-7x=-7

x=1

...........

Answer:

1

Step-by-step explanation:

-7x + 12 = 5

-7x = 5 - 12

-7x = -7

x = 1

The area of a rectangle is 5/18 square foot. If the length of the rectangle is 5/6 foot, what is the width of the rectangle in feet?

Answers

I think it’s 25/108 or 5/9

Pllllllzzzzzzzzz help me

Answers

Answer:

for the first one he will get $51

the second one is £2.70

Step-by-step explanation:

Just part a I’ve done b.
Photo provided.

Answers

Answer:

x=-5

Step-by-step explanation:

[tex] {2}^{x} = \frac{1}{32} [/tex]

[tex] {2}^{x} = \frac{1}{ {2}^{5} } [/tex]

[tex] {2}^{x} = {2}^{ - 5} [/tex]

[tex]x = - 5[/tex]

A. 35
B. 130
C. 70
D. 65

Answers

Answer:

the answer is A

Step-by-step explanation:

Which is greater? 5% of 10,555 or 30% of 250

Answers

Answer:

5% of 10,555

Step-by-step explanation:

5% of 10,555 is 527.27.

30% of 250 is 75.

5% of 10,555 because:

.05 x 10,555= 527.75
and
.30 x 250= 75

so 527.75 > 75

please help me..will give all the good stuff

Answers

1. 14 loaves are needed for 63 customers

2.  90 loaves

3. 4.5 loaf

Step by Step:

9/2= 4.5

4.5x4= 18

27/4.5=6

14x4.5=63

I multiplied and divided everything by 4.5 so one loaf of bread is 4.5.

(Correct me if I'm wrong)

I hope this helped! :)

read each problem carefully and solve as required then answer the questions that follow.​

Answers

Answer:

Step-by-step explanation:

1) Number of jeans = x

Number of blouses = y

Total items = 6

x +  y = 6 -------------------(I)

       y = 6 - x

Cost of 'x' jeans =  300 *x = 300x

Cost of y blouses = 100 * y = 100y

Total amount  = Php. 1000

300x + 100y = 1000 ------------(II)

2) Substitute y = 6 - x in equation (II)

         300x + 100(6-x) = 1000

300x + 6*100 - x *100 = 1000

 300x + 600 - 100x   = 1000

                200x + 600=1000

                          200x = 1000 - 600

                          200x = 400

                               x = 400/200

x = 2

Plugin x = 2 in equation (I)

2 + y = 6

     y = 6 - 2

     y = 4

Number of jeans = 2

Number of blouses = 4

3) This equations have only one solution. So, they are consistent and independent

2. 1 million African American students enroll in college every year. 10% of these students decide to go to a Historically Black College or University (HBCU). Given a graduation rate of 37%, how many African American students graduate from HBCUs a year? *Umm Help*​

Answers

Answer:

77,700 students graduate on (HBCU)

Step-by-step explanation:

2,100,000*.10=210,000

210,000*.37=77,700

(I am not really sure about this )

Pls help if your good at math I’ll mark brainliest and a thank you:)


A. -1/2
B. 2
c. 1 / 2
D. -2

Answers

Answer:

C.  1/2

Plzzzzz give me Brainliest!!!!!  

Which linear equation corresponds to the line graph.

y=3x

y=x-2

y=1/3x

y=2x​

Answers

Answer Y=1/3x bc 2/6 reduces to 1/3

Write the numbers in order from least to greatest. -8, 20/2, 2, -13, -5, 6/2

Answers

Answer:

The correct order is: -13,-8,-5,-2,6/2,20/2

Step-by-step explanation:

When in the negatives the lower number is the highest. And the fractions you can divide so 6 divided by 2 is 3, and 20 divide by 2 is 10

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at random from telephone listings. Of these 68 return the questionnaire as a percent what is the proportion of businesses who did not respond

Answers

Answer: The proportion of businesses who did not respond = 54.67%

Step-by-step explanation:

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

[tex]\dfrac{\text{Businesses did not respond}}{\text{Total businesses}}\times100[/tex]

[tex]=\dfrac{82}{150}\times100=54.67\%[/tex]

Hence, the proportion of businesses who did not respond = 54.67%

Divide using synthetic division.
(4x^2 – 13x - 5) / (x - 2) =

Answers

Answer:

The answer is on the photo below. Sorry, brainly wouldn't let me type the fraction here for some reason.

Step-by-step explanation:

What is an
equation of the line that passes through the points (-4, 2) and
(-8, -3)?

Answers

Answer:

y = 5/4 (x) + 7

Explanation:

Slope of a line (m): (y₂ - y₁) ÷ (x₂ - x₁)

       Slope: (2 - -3) ÷ (-4 - -8) = 5 ÷ 4 = 5/4

Point slope form: y - y₁ = m (x - x₁)

       Equation: y - 2 = 5/4 (x - -4)

                        distribute the 5/4

                        y - 2 = 5/4 (x) + 5

                        add 2 to both sides

                        y = 5/4 (x) + 7

I hope this helps!

7 1/2 divided by 3/4 please explain

Answers

Answer:

10 please mark brainliest if satisfied

Step-by-step explanation:

When Dividing fractions, use the reciprocal of 3/4

7 1/2 times 4/3 equals

10

Answer:

10

Step-by-step explanation:

You would do something called KCF Keep, Change, and Flip.

You would keep the 7 1/2 and change the divided sign to multiplying sign and flip the 3/4 so its a 4/3 and then multiply it.

15/6 times 4/3. 15 x 4 = 60

                           2x3=   6

so I can be 60/6 but you would simplify and 6 goes into 60  10 times. so 10 is you answer

2nd term in expansion of (3y + x)3

Answers

Answer:

9y+3x

Step-by-step explanation:

Answer:
9y + 3x

Explanation:
3y x 3 = 9y
3 x X = 3x

$1800 at 6.5% for 30 months

Thank you

Answers

Answer:

$351,000

Step-by-step explanation:

Your welcome

1800x6.5x30

Answer:

$351,000

Step-by-step explanation:

1800 • 6.5 = 11,700

11,700 • 30 = 351,000

I NEED HELP IN MATH, I DONt KNOW HOW TO DO THIS

Answers

Answer:

−a³b²c² − a²b³c² + a²b²c³

Explanation:

( ((−a²)(b²))(c²)) (a + b − c)

= ( ((−²2)(b²))(c²)) (a + b + −c)

= ( ((−a²)(b²))(c²)) (a) + ( ((−a²)(b²)) (c²)) (b) +( ((−a²)(b²)) (c²))(−c)

= −a³b²c² − a²b³c² + a²b²c³

- PNW

Malachi hikes for 2.5 miles and stops for lunch. Then he hikes for 1.5 more miles. How many miles did he hike altogether?​

Answers

Add the miles figured to get the amount of miles he hiked altogether.

2.5 + 1.5 = 4 miles

Therefore he hiked 4 miles altogether

The number of miles did he hike altogether is 4 miles.

Given that,

Malachi hikes for 2.5 miles.And, he hikes for 1.5 more miles.

Based on the above information, the calculation is as follows:

= 2.5 miles + 1.5 miles

= 4 miles

Therefore we can conclude that the number of miles did he hike altogether is 4 miles.

Learn more: brainly.com/question/3530056

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