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3 years ago

For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).

Mathematics

1 answer:

Lostsunrise [7]3 years ago

7 0

F(x)=x^2-2x+4

$\\ \sf\longmapsto F(|-4|)$

$\\ \sf\longmapsto F(4)$

$\\ \sf\longmapsto 4^2-2(4)+4$

$\\ \sf\longmapsto 16-8+4$

$\\ \sf\longmapsto 8+4$

$\\ \sf\longmapsto 12$

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Malcom’s Tee Shirt & Jacket Company is to produce a new line of rain coats. There are fixed costs of $570 to set up for prod

Dimas [21]

Answer:

$C(x)=30x+570$

a) $4110

Step-by-step explanation:

Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.

We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.

The cost of x jackets would be $30x$ .

The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.

Therefore, the total cost of producing x rain coats would be $C(x)=30x+570$ .

To find the total cost of producing 118 rain coats, we will substitute $x=118$ in the above equation as:

$C(118)=30(118)+570$

$C(118)=3540+570$

$C(118)=4110$

Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.

6 0

3 years ago

0.121122111222... if the pattern continues, is this a repeating decimal? why or why not?

hammer [34]

First we observe pattern here. The pattern is one number "1" and one number "2" than two numbers "1" and two numbers "2" and so on. Every next array of numbers 1 and 2 will have one extra member.

Because of this, 0.121122111222... isn't repeating decimal. Repeating decimal has some number of decimals that keep repeating. For example if we had:
0.121122 121122 121122 ... this would be repeating decimal because 121122 segment keeps repeating.

In your task you can't find a segment that keeps repeating.

3 0

3 years ago

You roll a 6 sided die 2 times what is the probability of rolling a 6 and then rolling a number greater than 2

jek_recluse [69]

Answer:

1/9 probability of rolling a 6 and then a number greater than 2

Step-by-step explanation:

1. Rolling a six on the first go is 1/6 chance

2. Rolling a number greater than 2, for example 4, is also 1/6 chance

3. So we know that at first, there is a 1/6 chance of rolling a 6, now when the die is rolled again, there needs to be a 3, 4, 5 or 6, each of these has a 1/6 chance again

4. So the chance of rolling a 6 and then a 3 is solved by finding the chance of rolling 6, then multiplying that by the chance of rolling a 3 afterwards

5. We get an equation of 1/6 x 1/6 which = 1/36

6. We apply this to the rest of the possible combinations, 6 and then 4 which is 1/36, 6 and then 5 etc.

7. Once we find all possible combinations, we add them up, this means that 6 then 3 = 1/36, 6 then 4 = 1/36, 6 then 5 = 1/36 and 6 then 6 = 1/36 is added so we get 1/36 + 1/36 + 1/36 + 1/36 = 4/36

8. We simplify this to get 1/9

7 0

3 years ago

On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2.

katovenus [111]

Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.

====================================================

Explanation:

The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.

z = 1 means we're 1 standard deviation above the mean
z = 2 means we're 2 standard deviations above the mean

and so on.

Negative z scores indicate the raw score is below the mean.

z = -1 means we're 1 standard deviation below the mean
z = -2 means we're 2 standard deviations below the mean

and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.

5 0

3 years ago

Solving Inequality's

devlian [24]

How can I send you the drawn representation on number line ?

25)

z + 4 >= 2z

-z >= -4

z <= 4 (you flip the sign when you divide over negative number)

on number line: from 4 to -infinity

you use normal arithmetic like equations

29)

-9 + 2a < 3a

-9 < a (just one step done)

on number line from -9 to infinity

41 and 43 ? not in the page

5 0

4 years ago