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olchik [2.2K]
3 years ago
13

Does anyone know what x is - 3/4 (x+2)=6

Mathematics
2 answers:
love history [14]3 years ago
7 0

\bold{Answer}

\boxed{\bold{X \ = \ -10}}

\bold{Explanation}

  • \bold{Simplify: \ -\frac{3}{4}\left(x+2\right)=6}

\bold{-------------------}

  • \bold{Multiply \ Both \ Sides \ By \ -4}

\bold{\left(-\frac{3}{4}\left(x+2\right)\right)\left(-4\right)=6\left(-4\right)}

  • \bold{Simplify}

\bold{3\left(x+2\right)=-24}

  • \bold{Divide \ Both \ Sides \ By \ 3}

\bold{\frac{3\left(x+2\right)}{3}=\frac{-24}{3}}

  • \bold{Simplify}

\bold{x+2=-8}

  • \bold{Subtract \ 2 \ From \ Both \ Sides}

\bold{x+2-2=-8-2}

  • \bold{Simplify}

\bold{X \ = \ -10}

\boxed{\bold{Eclipsed}}

satela [25.4K]3 years ago
4 0

-10.

Solution: Multiply the negative three fourths by everything in the parenthesis.

-  \frac{3}{4} x + ( -  \frac{3}{2} ) = 6

Add the negative three halves to both sides.

-  \frac{3}{4} x  =  \frac{15}{2}

Multiply both sides by negative four thirds.

x =  - 10

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3 years ago
The cost, in dollars, of producing x belts is given by C(x) = 634 + 18x - 0.071 x^2. Find the rate at which average cost is chan
o-na [289]

Answer:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

Step-by-step explanation:

The cost of producing x belts is given by:

C(x) = 634 + 18x - 0.071x^{2}

Find the rate at which average cost is changing when 324 belts have been produced.

This is C'(324). So

C(x) = 634 + 18x - 0.071x^{2}

C'(x) = -0.142x + 18

C'(324) = -28

So the correct answer is:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

5 0
3 years ago
The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c
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Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

H_a:\mu  < 45

Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

In this case:

n = 50   \mu =45 and \sigma= 9.1

So:

T = \frac{45}{9.1/\sqrt{50}}

T = \frac{45}{9.1/7.07}

T = \frac{45}{1.29}

T = 34.88

Solving (c): Accept or reject null hypothesis

\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

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Step-by-step explanation:

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The greatest common factor is 1/4 so we have the answer:

1/4 ( p - 1/4 q^2).

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