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kykrilka [37]
3 years ago
15

What is the range of the function f(x) = 3.2x for the domain {-4, -2, 0, 2, 4}?

Mathematics
1 answer:
arsen [322]3 years ago
5 0
The range are all the possible solutions for y. Since the domain is given, these are all the possible x values. To find the range, we can simply substitute each of these x values to the given function <span>f(x) = 3.2x.
</span>
<span>Given the domain, we use this to find the range values,
Domain: {-4, -2, 0, 2, 4}
</span>Range: {-12.8, -6.4, 0, 6.4, 12.8}
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M-(10)=-20
Zina [86]
The answer is -10. I think about negative numbers on a number line with numbers being behind and in front of the zero. To check the answer you can imagine being on -10 and when it says to minus a number you always know that it’s going to go further into the negative. So -10-10 is -20.
6 0
3 years ago
The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50
Drupady [299]

The company picnic cost $ 1300 for 80 employees

<em><u>Solution:</u></em>

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

cost \propto \text{ number of employees attending picnic }

c \propto n\\\\c = kn

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>

Therefore substitute c = 487.50 and n = 30

487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25

<em><u>How much does a company picnic cost for 80 employees?</u></em>

Substitute n = 80 and k = 16.25 in eqn 1

c = 16.25(80) = 1300

Thus $ 1300 is the cost for 80 employees

5 0
3 years ago
3- y3 is the simplified form of (x+y) (22 - xy + y )<br> True<br> Or <br> False
sasho [114]

Answer:true

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The mean IQ score of students in a particular calculus class is 110, with a standard deviation of 5. Use the Empirical Rule to f
Anika [276]

Answer:

2.5%

Step-by-step explanation:

If the data set has a bell-shaped distribution, then you can use 68-95-99.7, or Empirical, rule. With bell-shaped distributions, 68% of results lie within 1 standard deviation of the mean, 95% of results lie within 2 standard deviations, and 99.7% lie within 3 standard deviations.

Your mean is 110, and you have a standard deviation of 5. This means that 68% of all students fall between IQ scores of 105 (110 - 5) and 115 (110 + 5), one standard deviation from the mean. To get 95% of the students, you need to go one more standard deviation out, so then you have 100 (105 - 5) and 120 (115 + 5), two standard deviations from the mean. 99.7% of the students fall between 95 (100 - 5) and 125 (120 + 5). What you want is to find the percentage of students with an IQ above 120.

The way I'd handle this is starting with what I know is absolutely, without a doubt, below 120. If you drew a quick bell curve to represent this data, everything to the left of the mean, 110, could be counted out right away (I usually color in half of the bell curve because I like the visual representation). Just like that, 50% of your data is gone. From there, I know 120 is right at 2 standard deviations away, so I color in all the way up to the 95% mark, but remember that when we took away 50%, you don't want to count all the standard deviations on the left side of the bell curve twice. So instead, take the 95% and cut it in half, which is 47.5%. Alternatively, you can start at 50% and count up 1 standard deviation (34%), and up one more (13.5%) and get the same result, 47.5%. So now you know 50 + 47.5 = 97.5% of results are LOWER than 120. To figure out what's higher than 120, all you have to do is see that

100% - 50% - 47.5% = 2.5%

And then you can see that 2.5% of students have an IQ over 120.

5 0
3 years ago
3 3/8 - 1 1/2 how do you solve e this
ser-zykov [4K]
In exact form it would be 15/8
5 0
3 years ago
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