Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).

Answers

Answer 1

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]

It can be grouped and factored as:

[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

Learn more about factors of a polynomial here:

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Related Questions

The Shoe Outlet bought boots for $60 and marks up the boots 55% on the selling price. What is the selling price of the boots?

Answers

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

Learn more about Selling price here:

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#SPJ3

1/4 + -3/4 fractions

Answers

-2/4

hope this helps

what is 3/8 x(1 -1/3)

Answers

Answer:

1/4x

Step-by-step explanation:

3/8x(1-1/3)

3/8x - 1/8x = 1/4x

I hope that's right.

Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°

Answers

Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles

Change the equation 8x + 4y = 24 into slope-intercept form

Answers

Answer:

y= -2x+6

Step-by-step explanation:

8x+4y=24     move the 8x to the other side

4y=-8x+24    divide by 4

y=-2x+6

{(1, 1), (2, 1), (-2, 1), (-1, 1)}

Function or Not a Function?

Answers

Answer: It is a function

Explanation: all the X’s are different
It is a function because no one x is the same.

Please help FAST!!!!!

Answers

Answer:

Step-by-step explanation:

Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.

Solve the system using substitution

3x - 6y =30
y = -6x + 34

Answers

x = 6

y = -2

(explanation in image)

Answer:

3x - 6(- 6x + 34) = 30 3x + 36x - 204 = 30 40x - 204 = 30 40x = 234x = 5.85

then solve for y as a linear equation

Step-by-step explanation:

Have a nice day !!!! :)

Find the equation of the lines passing through the point A(3,-4) and (1)parallel, (2)perpendicular to the line 4x+3y=8.If these lines meet the line 2x+y=1 in points B and C ,find the area of triangle ABC.​

Answers

C
Find area of triangle

Montrer que le cube d’un nombre pair est un multiple de 8

Answers

Answer:

so the answer is 16? I dont know , need a better explanation on the question. ill answer until then.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer might be 56

-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4

Answers

Answer:

2

Step-by-step explanation:

-3÷3 (1 + (-4) (-6 + 5) - (-6 + 1)

-3 ÷ 3 (-3)(-1) - (-5)

-3 ÷ 3(3) + 5

-3 ÷ 3 = -1

-1(3) + 5

-3 + 5 = 2

I hope this helps!

Someone please help me with this

Answers

Answer:

I think it's y = 1/4+2

Step-by-step explanation:

PLEASE HELP I NEED HELP ANSWER THE NEXT QUESTION GIVING BRAINLIEST TO CORRECT ANSWERS AND FIVE STARS WITH 20 POINTS PLEASE HELP ASAP​

Answers

Answer:

C, D and F

Step-by-step explanation:

volume of a cuboid = W x L x H

(where W = width, L = length and H = height)

Calculate the volume of each of the prisms (cuboids), then compare their volume with the range of 25 - 40 cubic units

Volumes

A:  4 x 4 x 4 = 64 cubic units

B:  3 x 7 x 2 = 42 cubic units

C:  4 x 4 x 2 = 32 cubic units

D:  2 x 6 x 2 = 24 cubic units

E:  3 x 5 x 3 = 45 cubic units

F:  2 x 3 x 6 = 36 cubic units

Therefore, prisms C, D and F have a volume between 25 and 40 cubic units.

Leila is buying a dinosaur model. The price of the model is z dollars, and she also has to pay a 7% tax.
Which of the following expressions could represent how much Leila pays in total for the model?

Answers

Answer:

T=z(0.07)+z

Step-by-step explanation:

Dat right der

How do I solve this using substitution?

Answers

Answer :y=4   x=2

Step-by-step explanation:

hello help me with this question thanks in advance​

Answers

Answer:

1) 100/2 = 50°.

2) 50°

3) 50°

Reasons: rhombus, perpendicular bisector

- Toodles!~

[tex]\bold{\huge{\pink{\underline{ Solutions}}}}[/tex]

Answer 18 :-

We have,

Rhombus RAMS and Angle SMA = 100°

In rhombus, The diagonals bisect each other at an angle of 90° .

Therefore,

[tex]\sf{\angle{ AMR = 1/2}}{\sf{\angle{ SMS}}}[/tex]

[tex]\sf{\angle{ AMR = 1/2 × 100 }}[/tex]

[tex]\sf{\angle{ AMR = 50° }}[/tex]

Thus, Angle AMR is 50°

Hence, Option D is correct

Answer 19 :-

We know that,

The sides of rhombus are equal and parallel to each other

[tex]\sf{\angle{ AMR = }}{\sf{\angle{ RMS}}}[/tex]

[ Alternative interior angles ]

[tex]\sf{\angle{ RMS = 50° }}[/tex]

Thus, The value of Angle RMS is 50°

Hence, Option B is correct

Answer 20 :-

Here, we have to find the value of mAngleMSA

In ΔCMS,

By using Angle sum property

[tex]\sf{ 50° +}{\sf{\angle{MSC + 90° = 180° }}}[/tex]

[tex]\sf{\angle {MSC = 180° - 140°}}[/tex]

[tex]\sf{\angle{MSC = 40° }}[/tex]

Therefore,

[tex]\sf{m}{\sf{\angle{MSA = 40° }}}[/tex]

Thus, The value of mAngle MSA is 40°

PLEASE HELP W/ THIS QUESTION I ALLWAYS GET STUCK ON READING TIME!!!


what time does the clock show? Please tell me how to read time I will mark you the brainlyest.

Answers

Answer:

2:40

Step-by-step explanation:

Short hand (hours): a little past 2

Long hand (minutes): 40 -- 8*5=40

How do I award brainliest I’m confused
First person to answer and actually help will get it! I have 2 min. Go!

Answers

Answer:

I think its an lucky chance for an mod or something to notice you

Step-by-step explanation:

Usually it will show up on the bottom of the person’s comment who answered. If it doesn’t then you should try to reload the screen.

Solve for x and y!

Show your work and you will get brainliest!

Answers

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

Here we can use the ratio of sine as ,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

Read more about right triangles at:

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i really need some help on this math problem?can you help me

Answers

Answer:

7 units

Step-by-step explanation:

Forming an equation:

There is a one-time signup fee. Let that be represented by "a".

Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.

==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.

If we represent her total cost after membership by "y", our equation becomes:

[tex] \boxed{ \sf{y = a + bx}}[/tex]

We're provided with three values of x and y.

When x = 6, y = 133When x = 12, y = 175When x = 24, y = 259

The solution to the equation:

Substitute the respective values of x and y into the equation.

#1

133 = a + 6b

==> a = 133 - 6b

#2

175 = a + 12b

Since we only need the values of two variables we'll use only two equations.

Substituting from #1 for a:

175 = (133 - 6b) + 12b

==> 175 = 133 + 6b

==> 175 - 133 = 6b

==> 42 = 6b

==> b = 7

And b is the amount she pays each week.

So, the answer is 7 units.

find the unknown size of angles ​

Answers

Step-by-step explanation:

y+110=180 (cointerior angle)

y=180-110

y=70

y=z(Alternate angle)

z=70

x=z(corresponding angles)

x=70

Hope this helps.

How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimeter is 185 centimeters? l=25cm h=12cm

Answers

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

Drag each number to show whether it is a prime number or a composite number.


Three of the numbers are prime, and three are composite.


Prime:

Composite:

26,3,33,85,61,41

pls help me

Answers

PRIMES: 3, 61, 41

COMPOSITES: 26,33,85

i literally have a test tomorrow and dont know what to do please help

Answers

B is yes and the rest are no. B is the only solution where y equals 1.

Answer:

(-6, 1)

Step-by-step explanation:

y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number.  Four points are given.  y = 1 for only one of them:  (-6, 1).  Answer "Yes" for this one point (the one in the second row).

An unknown number is twelve less than
four

Answers

Answer:

-8

Step-by-step explanation:

4 - 12 = -8 hope I'm right lol

The other person is correct -8 is the answer you can also use a calculater if you are unsure

pls help me!! D:

find x and y

4x-4y=0
y= 2x+6

Answers

Answer:

x = -6

y = -6

Step-by-step explanation:

Solve using substitution.

Substitute 2x + 6 for y:

4x - 4(2x + 6)=0

Distribute the 4 to each term in the parentheses:

4x - 4(2x) - 4(6) = 0

4x - 8x - 24 = 0

Combine like terms

-4x - 24 = 0

Add 24 to both sides

-4x = 24

Divide both sides by -4

x = -6

Plug -6 back in for x to solve for y:

y = 2x + 6 = 2(-6) + 6 = -12 + 6 = -6

(x, y) = (-6, -6)

Answer:

x= -6 and y= -6

Step-by-step explanation:

Take 4x-4y=0 as eqn 1

and y=2x+6 as eqn 2

Substitute eqn 2 into eqn 1

4x -4(2x+6)=0

4x-8x-24=0

-4x-24=0

Move -24 to the other side

-4x=24

Divide both sides by -4

[tex] \frac{ - 4x}{ - 4} = \frac{24}{ - 4} [/tex]

x= -6

substitute x= -6 in eqn 2

y=2(-6)+6

y= -12+6

y= -6

sam knows that 1 inch is about 2.54 centimeters. about how many centimers is 3 inches

Answers

3 inches is about 7.62cm

what is 13,300 divisble by

Answers

Answer:

the answer is 133×100 is 13,300........

how can i solve it formula y= mx + b

Answers

Answer:

y = 4/3x - 4

Step-by-step explanation:

you are given b

so y = mx -4

you can look at the graph and see the slope from there. like the y-intercept and the x-intercept

(0,-4) and (3,0)

slope formula is y2-y1/x2-x1

and so you do -4-0/0-3

-4/-3.

so your slope formula would be

y = 4/3x - 4

Please help me!
its my last question.

Answers

3/2 ( 4x - 8) +3x = 6x - 12 +3x

= 9x - 12

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