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Alina [70]
2 years ago
6

Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9

Mathematics
2 answers:
Soloha48 [4]2 years ago
4 0

B) x= -13/2

C) x=25/28

D) x=-7/20

The Answer is B.C.D

nikitadnepr [17]2 years ago
3 0

The value of x = -5/2

To solve this question we must understand the concept of indices.

<h3>What are Indices?</h3>

Indices in mathematics show the power to which an expression or variable is raised.

Here, the correct format of the equation given in the question as follows:

\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }

2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}

Multiply the power of both sides by 3

(6x + 4) =(4x -9)

6x - 4x = -9 + 4      

2x = -5

x = -5/2

Learn more about indices here:

brainly.com/question/10339517

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Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calcu
elena-s [515]

The surface area of the cylinder is 18.84 square feet

<h3>How to determine the surface area?</h3>

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

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4 0
2 years ago
Please hurry!!! Chose the equation below that represents the line that passes through the point (7,-2) and has a slope of -3
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Answer:

y + 2 = -3(x - 7)

Step-by-step explanation:

Write the equation using the point slope form y - y_1 = m(x-x_1). Substitute m = -3 and (7,-2).

y --2 = -3(x-7)\\y + 2 = -3(x-7)\\y +2 = -3x +21\\y = -3x +19

3 0
3 years ago
4A.
antoniya [11.8K]

The number of paychecks Jalen will have to save until he can purchase the laptop is 6

<h3>How many paychecks will Jalen have to save until he can purchase the laptop? </h3>

<u>Define your variable</u>

To do this, we use the following variables

  • x represents the number of paychecks
  • y represents the cost of the laptop

<u>Set up an equation, and solve it.</u>

In (a), we have:

  • x represents the number of paychecks
  • y represents the cost of the laptop

Using the above variables, the equation is:

y = 200 + 50x

The cost of the laptop is $500.

So, we have:

200 + 50x = 500

Evaluate the like terms

50x = 300

Divide by 50

x = 6

Hence, the number of paychecks Jalen will have to save until he can purchase the laptop is 6

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4 0
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Which construction must you do to construct a triangle given the lengths of two sides and the measure of the angle between the t
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