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Andrei [34K]
3 years ago
12

What is the sum of (x^2+6x-5) + (2x^2+15)

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer:

3x^2 + 6x + 10

Step-by-step explanation:

Because we're adding it, it doesn't matter if we just take out the parenthesis.

X^2 + 2x^2 gives us 3x^2.

6x stays the same.

-5 + 15 gives us 10.

3x^2 + 6x + 10

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I the week starts on Monday he will fill Monday and Saturday and on each Monday he will wash his car
7 0
3 years ago
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
PLZ HELP ASAP SOLVE SIMMILAR TRIANGLES (BASIC)
GuDViN [60]

<span>By similarity of triangles we have the following relationship:</span>

<span> (x) / (6) = (18) / (9)</span>

<span> Simplifying we have:</span>

<span> (x) / (6) = 2</span>

<span> Clearing the value of x we have:</span>

<span><span> x = 6 * 2</span></span>

<span><span> X = 12</span></span>

<span><span> Answer:</span></span>

<span><span> The value of x for this case is equal to:</span></span>

<span><span> <span>X = 12</span></span>
</span>

5 0
4 years ago
Mrs. Smith went to the grocery store and bought the fruit below.
lukranit [14]
The answer is 12.69, you just need to put all the groceries together!!
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3 years ago
Which of the following represents a valid first step to solving this system of equations using the substitution method?
Phoenix [80]

Answer:

2(2y - 1) - y = 7

Step-by-step explanation:

I guess the 2 equations are

2x - y = 7

x = 2y - 1

substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.

the equations are already defined that way, that the second equation directly defines x as an excision of y.

so, this needs to be used then in the first equation.

and that makes

2(2y - 1) - y = 7

the correct first step.

7 0
2 years ago
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