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BabaBlast [244]
3 years ago
14

How would you solve this: x^2-9x+18

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0
Hope this helps you!!!

gulaghasi [49]3 years ago
7 0

Hello!

To factor this, we will want to find the GCF of all of these numbers. It cannot involve x, as 18 is a constant.

x·x-9x+18

As you can see, there is no common factor, so we cannot multiply a parentheses by one number. What we can do, though, is multiply two parentheses. We can use the FOIL method, which means that to unfactor two parentheses, you multiply the first numbers, outside, inside, and last. Let's try doing so.

(a,b)(y,z)

First of all, a multiplied by x will probably have to equal x², as it appears first. This means a and x are x.

(x,b)(x,z)

As you can see, the outside and inside are both going to have an x in them. This means that we will want some numbers that will add to make -9, and will multiply to make 18. If you think about it, -3 and -6 would work.

-3+-6=-9

-3(-6)=18

Therefore, our factored answer is below.

(x-3)(x-6)

I hope this helps!


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nataly862011 [7]

Answer:

1. B

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3. A

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Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

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4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

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I hope it helps!

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Answer:

Step-by-step explanation:

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