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2 years ago

What is the mathematical reasoning for Step 3?

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

Based on the operation in step 3, the mathematical reasoning that we see is the Associative property.

<h3 /><h3>What is the reasoning in step 3?</h3>

Step 2 was:

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

Step 3 then became:

3/4 x (-8) × x × x + 3/4 x 6x

This shows the associative property because the numbers were regrouped but because they are being multiplied by each other, the result will not change.

Find out more on the associative property at brainly.com/question/13181.

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20 points

irinina [24]

Answer:

(a) $9x^2+16x-4$

(b) $9a(2a+5)$

Step-by-step explanation:

(a)

$(9x-2)(x+2)=$

$9x^2-2x+18x-4=$

$9x^2+16x-4$

(b)

$18a^2+45a=$

$9a(2a+5)$

(c)

$y^2-10y+24=$

$(y-6)(y-4)$

Hope this helps!

4 0

3 years ago

A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?

asambeis [7]

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

$\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}$

The price per quart should be $2.77.

Hope this helps.

8 0

3 years ago

Let g(x)=-5+2. Evaluate g(-1)

marta [7]

The answer would be g=3

8 0

4 years ago

Find each unknown angle measurement.

Alex Ar [27]

Answer:

angle(2) = 118 degree

angle(3) = 118 degree

angle(4) = 62 degree

Step-by-step explanation:

To find angle 2 :

$62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree$

The rule (head to head):

angle(2) = angle(3) = 118 degree

And the last one is angle(4) which is the same thing:

angle(4) = angle(1) = 62 degree

5 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs. Match each expression to the correct verbal description. 8 added to t

QveST [7]

Answer:

<u>A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed</u>

<u>B. 7x³ + 8 ⇔ 8 added to cube of 7x</u>

<u>C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8</u>

Step-by-step explanation:

1. Let's drag the tiles to the correct boxes to complete the pairs.

A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed

The second tile was already given and solved, however we're copying it.

B. 7x³ + 8 ⇔ 8 added to cube of 7x

C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8

We use the expression 7 times because number 7 is multiplying the sum inside the parenthesis.

D. (7x + 8)³ ⇔ the cube of the sum of 7x and 8

6 0

3 years ago