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3 years ago

Complete the steps to factor

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer:

(8x - 1)(7x - 1)

Step-by-step explanation:

Given

56x² - 8x - 7x + 1 ( factor the first/second and third/fourth terms )

= 8x(7x - 1) - 1(7x - 1) ← factor out (7x - 1) from each term

= (7x - 1)(8x - 1)

= (8x - 1)(7x - 1) ← in factored form

d1i1m1o1n [39]3 years ago

5 0

Answer:

The answer is 1st point.

Step-by-step explanation:

By following the steps that is shown in the picture :

56x² - 8x - 7x + 1

1.Group pairs of terms with common factor,

(56x² - 8x) + (-7x + 1)

2.Factor the GCF from each group,

8x(7x - 1) - 1(7x - 1)

3.Use distributive property,

(8x - 1)(7x - 1)

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A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?

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8 0

3 years ago

Read 2 more answers

Two teachers purchase supplies for their classrooms.

inna [77]

Answer:

Cost of One Journal = $3.99

Cost of One pen = $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

$18x+40y=95.42$

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

$11x+16y=53.33$

Now solving these equations to find the value of x

$18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)$

Multiply eq(1) with 2 and eq(2) with 5

$36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\$

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

$18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59$

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0

3 years ago