Michael holds a small rock in his hand. Density (D) can be found using the

The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

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→ " x = 14 " .

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Step-by-step explanation:

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First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

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Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

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As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

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Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

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Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

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→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

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→ 5x/5 = 10/5 ;

to get:

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→ x = 2 .

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Now, let us check our work:

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Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

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Note the given equation:

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→ -2[1 − 4x] = 3x + 8 ;

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Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

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→ 14 =? 14 ??? ; Yes!

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Hope this is helpful to you!

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5 0

3 years ago

Please help! if anybody is good at equivalent polynomial expressions please help!!

scoundrel [369]

The one you have highlighted is correct

7 0

3 years ago

Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed

Alekssandra [29.7K]

Answer: The required number of passwords that can be created is 175760.

Step-by-step explanation: Given that a company needs temporary passwords for the trial of a new payroll software.

Each password will have one digit followed by three letters and the letters can be repeated.

We are to find the number of passwords that can be created using this format.

For the one digit in the password, we have 10 options, 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Since there are 26 letters in English alphabet and letters can be repeated, so the number of options for 3 letters is

26 × 26 × 26 = 17576.

Therefore, the total number of ways in which passwords can be created using the given format is

$n=9\times17576=175760.$

Thus, the required number of passwords that can be created is 175760.

3 0

3 years ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

stira [4]

Answer:

a) Option A)

$H_{0}: \mu \geq 1503\\H_A: \mu < 1503$

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

$\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78$

Thus,

Point estimate of difference = -78

5 0

4 years ago

A beaker contains 1 1/4 pants of a chemical. A scientist pours the chemical out of the beaker until three fluid ounces remain.

Pepsi [2]

He poured 34 fl oz it sounds wrong but it’s correct

6 0

3 years ago