Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.


11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x

Answers

Answer 1

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x


Related Questions

What is the length of arc S shown below?
Enter an exact expression.

Answers

Answer:

The length of the arc is 1.6 cm

Step-by-step explanation:

To find the value of the length of the arc, we use the length of arc formula

Mathematically, this is;

theta/360 * 2 * pi * r

where theta is the central angle

In this case pi/4 = 180/4 = 45 degrees

r = 2 cm

So the measure of the length of the arc will be;

L = 45/360 * 2 * 22/7 * 2

= 1/8 * 4 * 22/7

= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm

Answer:

π/2

Step-by-step explanation:

Khan

what is {1x+89x(8+29x)}{2x+89x(x+9)}

Answers

Answer:

229709x^4+2136000x^3+572539x^2

Step-by-step explanation:

Answer to your question

Determine how far the vehicle travels in 3 hours.

A motorcycle travels 25 miles every 0.5 hour.

Answers

Answer:

Motorcycle travel 150 miles in 3 hours

step by step explanation:

3:0,5=6

25

. 6

___

150


Please help I’ll give brainlist

Answers

Answer: v = 12

Step-by-step explanation:

the answer is v=12 hope it helps

. Evaluate 8^0 helppp please

Answers

Answer:

1

Step-by-step explanation:

[tex] {8}^{0} = 1 \\ [/tex]

Any number raised to zero is always equal to one.

Evaluate (1/3)^3 from Brainly

Answers

Answer:

1/27

Step-by-step explanation:

(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

simplified: 1/27

rewritten: 3^-3

Step-by-step explanation:

Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​ 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=

Answers

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer:

#1.

cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333  ⇒ x ≈ 71°

#2

71° is  between 70° and 75°, so the answer is yes, the ladder being used safely.

Step-by-step explanation:

Answer:

71

yes

Step-by-step explanation:

Just did it, have a good day!

The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?

Answers

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Please help me I will give you bring me if it’s right

Answers

Answer:

Yuor answer is X

Step-by-step explanation:

I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

[tex]\frac{log(x + 2)}{log4}[/tex] is the correct answer

Step-by-step explanation:

The formula for change of base in logarithm is given by,

[tex]logba = \frac{logc a}{logc b}[/tex]

If we take the common base as 'e' , the formula becomes,

[tex]logba = \frac{log a}{log b}[/tex]

Applying this formula,

[tex]log4(x + 2) = \frac{log(x +2)}{log4}[/tex]

∴ As the first option matches with our answer, hence it is the correct answer.

( In the fourth option a bracket is missing, so it is not the correct option)

pls guys help me
The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is

119.
129.
135.
145.

Answers

129 im pretty sure is the answer
135

I did it on paper just because fractions are weird to type...

Can someone please help me with this question.

Answers

Answer:

Since FAB and GED are congruent they also create the same angle. The angle is shown with the curved line. AE is a straight line, or 180 degree angle. This means that FAB and ABC must create a 180 degree angle... and if FAB is congruent to GED then GED and EDC are also congruent.

Step-by-step explanation:

I hope this made sense, it's kind of messy but I hope it helps.

15 POINTS PLEASE HELP!!!

Answers

Answer:

D

Step-by-step explanation:

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A. The graph of his the graph of g vertically shifted up 1 unit.

B. The graph of his the graph of g vertically shifted down 1 unit.

C. The graph of his the graph of g horizontally shifted left 1 unit.

D. The graph of h is the graph of ghorizontally shifted right 1 unit.

Answers

Answer:

A. The graph of his graph of g vertically shifted up 1 unit.

Step-by-step explanation:

h(x) = g(x) + 1

h(x) = x² + 1

The graph shifted up 1 unit.

Answer:

A. The graph of his graph of g vertically shifted up 1 unit.

Step-by-step explanation:

h(x) = g(x) + 1

h(x) = x² + 1

The graph shifted up 1 unit.

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.4 in. The slant height of the pyramid is 90.4 in. What is the height of the​ pyramid?

Answers

Answer:

89.57in

Step-by-step explanation:

Given the following

Slant height of the pyramid l = 90.4in

Length of one side of the base b =24.4in

Required

Height of the pyramid H

To get the height we will use the Pythagorean theorem as shown

l² = h²+(b/2)²

Substitute the given values

90.4² = h²+(24.4/2)²

90.4² = h²+12.2²

h² = 90.4²-12.2²

h² = 8023.32

h = √8023.32

h = 89.57in

Hence the height of the pyramid is 89.57in

PLEASE HELP ME WITH THIS​

Answers

Wha do u need help with

a b c or d help me plzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

pls put me as brainly

2x+4y=0 y=1/2x-3 solve for x

Answers

Answer:

There are 2 equal signs in this equation there is no way to solve it if there are 2 equal signs

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

2x + 4y = 0

y = 1/2x - 3

substitution method:  2x + 4(1/2x - 3) = 0

                                    2x + 2x - 4/3 = 0

                                     4x = 4/3

                                      12x = 4

                                       x = 4/12 or 1/3

RT and UW are parallel lines.

Which angles are alternate exterior angles?

Options:
a) <RSQ and <WVX
b) <RSQ and <TSV
c) <RSQ and <TSQ
d) <RSQ and <UVX​

Answers

a) &It;RSQ and &It;WVX

Answer: it is a,

Step-by-step explanation:

expand the polynomial
(x^(2)+xy-y^(2))(x+y)

Answers

Answer:

It's already expanded.

You take a taxi for a distance of 4 miles. You paid $6 for the trip Your friend uses the same taxi company to travel 10 miles , and pays 10.50. How much does the taxi company charge per mile, how much is the taxi company’s initial fare? And how much would the company charge for a 15 mile trip?

Answers

Answer:

1.12 dollers per mile

basic fee is 1.52 dollars

15 mile thing is 18.32 dollars

Step-by-step explanation:

branilest? PLEASE

PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?

OPTIONS:
A. The mean, median, mode would all be the same

B. The mean would be higher than the median and mode

C. The mean and median would be the same, but the mode would be higher

D. The mode and median would be higher than the mean

Answers

Answer:

E

Step-by-step explanation:

Answer:

B. The mean would be higher than the median and mode

Step-by-step explanation:

Can someone help me ?!

Answers

Answer:

y<-2x-3

Step-by-step explanation:

Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:

y=mx-3

To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.

Now it looks like this:

y=-2x-3.

Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.

HOPE THAT THIS IS HELPFUL!

Determine whether or not the function is linear or nonlinear.

Answers

Answer:

Nonlinear

Step-by-step explanation:

This line is not straight so it's not linear.

Linear is a straight line.

nonlinear is any line that's not straight.

Ace Carlos

Write an equation of a line that passes through the point (-2,3) and is perpendicular to
the line x = 4

Answers

Answer:

y = 3

Step-by-step explanation:

x = 4 has an undefined slope meaning on a graph the line is vertical. In order to form a line perpendicular to this, we need a line with zero slope (horizontal line). We need to look strictly at the y coordinate to help determine the equation. In this case, we have a y coordinate of 3. Therefore, the equation will be y = 3.

Andres is running a race that is 13.1 miles long. He has already run 1.1 miles.
Which equation and solution correctly represent how many miles, m , Andres has left to run?

Answers

m=13.1-1.1
m=12 miles

Could you help me on this, I need to submit soon as well :)

Answers

Answer:

6

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Simplify so it's in slope-intercept form (y=mx+b)

y - 125 = 55(x - 2)

Answers

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

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