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3 years ago

100 points!!! Multi-Step Equations with Distributive Property

Mathematics

2 answers:

ad-work [718]3 years ago

4 0

Answer:

An example below

Step-by-step explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

7(a + 2b)

7(a) + 7(2b)

7a + 14b

5(4a + 7a + 14b)

5(11a + 14b)

Use distributive property again

5(11a) + 5(14b)

55a + 70b

Alexxandr [17]3 years ago

3 0

Answer:

x= -2

Step-by-step explanation:

An example could be

10 ( x+2) + 3(x+4) = 6(x+3)

Distribute

10x+20 +3x+12 = 6x+18

Combine like terms

13x +32 = 6x+18

Subtract 6x from each side

13x-6x +32 = 6x-6x+18

7x +32 = 18

Subtract 32 from each side

7x +32-32 = 18-32

7x =-14

Divide by 7

7x/7 = -14/7

x = -2

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Answer:

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Step-by-step explanation:

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Also, the Zhao has a bill of $63.25.

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3 years ago

Please help!! Due really soon!

Alisiya [41]

9514 1404 393

Answer:

f(x) = 6x +1

Step-by-step explanation:

Differences in x-values (first row) are 1, 1, 1.

Differences in y-values (second row) are 6, 6, 6.

The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.

Using the first point in the form ...

y = mx + b

we have ...

y = 6x + b

7 = 6·1 + b . . . . (x, y) = (1, 7)

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In functional form, this is ...

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

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3 years ago

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andriy [413]

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