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

1/4 + -3/4 fractions

Answers

-2/4

hope this helps

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

Someone please help me with this

Answers

Answer:

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

Step-by-step explanation:

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

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.

{(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 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.

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

Answers

3 inches is about 7.62cm

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

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

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:

https://brainly.com/question/2437195

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

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.

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

How do I solve this using substitution?

Answers

Answer :y=4   x=2

Step-by-step explanation:

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

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°

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 !!!! :)

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.

Please help FAST!!!!!

Answers

Answer:

Step-by-step explanation:

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

what is 13,300 divisble by

Answers

Answer:

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

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

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

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.

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

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

-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!

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).

Please help me!
its my last question.

Answers

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

= 9x - 12

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