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earnstyle [38]
3 years ago
11

Find the value of p. p − 1 = 5 p + 3p − 8

Mathematics
2 answers:
Nookie1986 [14]3 years ago
7 0

Answer:

p = 1

Step-by-step explanation:

[add like terms]

p - 1 = 8 p - 8

[add 8 to both sides]

p + 7 = 8 p

[subtract p from both sides]

7 = 7 p

[divide each side by 7]

p = 1

Ostrovityanka [42]3 years ago
6 0

Answer:

P=1

Step-by-step explanation:

collecting like terms we have

p - 5p - 3p = -8 + 1

-7p = -7

divide both sides by -7

p = 1

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Which rational expression has a value of 0 when x=-2
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Im sorry. I need the options to answer this...
But if you want to answer this your self just take all your options and replace x with -2 and use PEMDAS to find if it equals 0 or not.
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2 years ago
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{x{ x + 4<0 or 6x>-12)
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Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

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The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
Please answer #1 for me only ! What is my Y for #1 , don't forget to graph !​
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The table and the graph is shown in the following picture

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The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the
kicyunya [14]

Answer:

it is b

Step-by-step explanation:

6 0
3 years ago
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A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
3 years ago
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