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3 years ago

3(x+1)^(4/3)=48 how do i solve this?

1 answer:

4 0

$3(x+1)^{\frac{4}{3}}=48\\\\\frac{3(x+1)^{\frac{4}{3}}}{3}=\frac{48}{3}\\\\(x+1)^{\frac{4}{3}}=(x+1)^{(\frac{1}{3}*4)}=\sqrt[3]{(x+1)^{4}}=16\\\\(\sqrt[3]{(x+1)^{4}})^{3}=16^{3}\\\\(x+1)^4=4096\\\\\sqrt[4]{(x+1)^4}=\sqrt[4]{4096}=\pm8\\\\\\x+1=\pm8\\\\x+1=8\\x=7\\\\x+1=-8\\x=-9$

Your answers are x = 7 and x = -9.

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WILL GIVE BRAINSLIEST EASY. Find each product mentally. Show the steps used.

svetoff [14.1K]

Answer:

1) 396

2) 20 1/2

3) 26.6

4) 8x + 56

5) 66 + 6x

6) 8x + 8

Step-by-step explanation:

* Lets explain how to solve the product mentally

# Remember the distributive property can help you to find the product

mentally the distributive property ⇒ a(b + c) = ab + ac

- Lets solve them

- In 9 × 44 we can write 44 as (40 + 4)

∴ 9 × 44 = 9(40 + 4)

∵ 9(40 + 4) = 9 × 40 + 9 × 4

- Now lets multiply 9 by 40 and 9 by 4

∵ 9(40) = 360

∵ 9(4) = 36

∴ 9 × 40 + 9 × 4 = 360 + 36 = 396

∴ 9 × 44 = 396

- In 4 × 5 1/8 we can write 5 1/8 as (5 + 1/8)

∴ 4 × 5 1/8 = 4(5 + 1/8)

∵ 4(5 + 1/8) = 4 × 5 + 4 × 1/8

- Now lets multiply 4 by 5 and 4 by 1/8

∵ 4(5) = 20

∵ 4(1/8) = 1/2

∴ 4 × 5 + 4 × 1/8 = 20 + 1/2 = 20 1/2

∴ 4 × 5 1/8 = 20 1/2

- In 7 × 3.8 we can write 3.8 as (3 + 0.8)

∴ 7 × 3.8 = 7(3 + 0.8)

∵ 7(3 + 0.8) = 7 × 3 + 7 × 0.8

- Now lets multiply 7 by 3 and 7 by 0.8

∵ 7(3) = 21

∵ 7(0.8) = 5.6

∴ 7 × 3 + 7 × 0.8 = 21 + 5.6 = 26.6

∴ 7 × 3.8 = 26.6

- The distributive property ⇒ a(b + c) = ab + ac

- In 8(x + 7) we will multiply 8 by x and 8 by 7 and add them

∵ 8 × x = 8x

∵ 8 × 7 = 56

∴ 8(x + 7) = 8x + 56

- In 6(11 + x) we will multiply 6 by 11 and 6 by x and add them

∵ 6 × 11 = 66

∵ 6 × x = 6x

∴ 6(11 + x) = 66 + 6x

- In 8(x + 1) we will multiply 8 by x and 8 by 1 and add them

∵ 8 × x = 8x

∵ 8 × 1 = 8

∴ 8(x + 1) = 8x + 8

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The value of an antique car is modeled by the function v(x)=107,000(1.009)^(2/3x) where x is the number of years since 2005. by

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Answer:

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Step-by-step explanation:

Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

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See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

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3 years ago

You just purchased 3 pairs of pants for $75.25, $30.95 and $90.35. You also purchased 2 hats for $50 each. The sales tax is 7.5%

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Answer:

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Step-by-step explanation:

To do this problem, to find the real end amount paid, you must add up all the prices and add the sales tax. To do this, you add them to 296.55, and multiply it by the decimal form of the sales tax added to 1, so 1.075 which is 318.791 rounded to 318.79

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