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Misha Larkins [42]
3 years ago
14

3(x-1)=2x+5 what is the solution

Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0
3(x-1)=2x+5
3x-3=2x+5
3x-2x=3+5
x=8
ad-work [718]3 years ago
3 0
<span>3(x-1)=2x+5
3x - 3 = 2x + 5
-2x       -2x

x - 3 = 5
    +3    +3

x = 8

Answer would be: The solution to this equation is x = 8

</span>
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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
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The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The graph of the function;

f(x) = –(x + 3)(x – 1)

Now,

Graph of the function is shown in attached image.

Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).

Clearly, When x < -1

Take x = 0 < -1

The value of function;

f(x) = –(x + 3)(x – 1)

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The function is positive.

Thus, The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

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Step-by-step explanation:

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Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

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Step-by-step explanation:

Information provided

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X=53 represent the college seniors who say good

\hat p=\frac{53}{100}=0.53 estimated proportion of seniors who think their job prospects are good

p_o=0.5 is the value that we want to test

z would represent the statistic

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System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we have:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6  

The p value for this case would be given by

p_v =P(z>0.6)=0.274  

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