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AlekseyPX
3 years ago
5

If f(x) = 2x – 6 find f(7) - 9. *

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

Plug 7 in for wherever there's an "x."

f(x) = 2(7) - 6

f(x) = 14 - 6

f(x) = 8

Now subtract 9 from 8.

8 - 9 = -1

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Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possibl
m_a_m_a [10]

Number of possible outcome for tossing N coins = 2^N

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 =2^1

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4 =2^2

Possible outcomes when tossing three coins

                                 = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Number of possible outcomes when tossing three coins = 8 =2^3

Therefore, the sequence obtained is 2^1, 2^2, 2^3.

If continue this sequence, we can obtain number of possible outcome for tossing N coins is 2^N.

7 0
2 years ago
Set 4x equal to x+30 and solve.
prisoha [69]

Answer:

x = 10

Step-by-step explanation:

1) Subtract x from both sides.

4x − x = 30

2) Simplify 4−x to 3x

3x = 30

3) Divide both sides by 3

x = \frac{30}{3}

4) Simplify \frac{30}{3} to 10

x = 10

7 0
3 years ago
The scores of high school seniors on the act college entrance examination in a recent year had mean μ = 20.8 and standard devia
natka813 [3]

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – μ) / s

where,

x = is the sample score = 21 or higher

μ = the population mean = 20.8

s = the standard deviation = 4.8

 

Solving for the z score:

z = (21 – 20.8) / 4.8

z = 0.0417

 

Next step to do is to find for the p value using the standard distribution tables at z = 0.04. Since we are looking for the probability of getting 21 or higher, therefore this is a right tailed test, hence

p = 0.516

<span>So there is about 51.6% that a student will get a score of 21 or greater.</span>

4 0
2 years ago
How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
storchak [24]
Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

Row 1, column3: Write 12*a or 12a here. Simply multiply the cost per adult ($12) with the number of adults (a). 
------------------------------------------------------------------------------
Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

Row 2, column2: There are y young adults. Write 'y' here without quotes

Row 2, column3: Write 6y here. Multiply the number of young adults with the price per young adult
------------------------------------------------------------------------------
Now onto row 3

Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

Row 3, column2: We have 'a' adults and 'y' young adults. So a+y people total. This total is 8 as we know a family of 8 had been registered. So we write 8 in this box as well. The two expressions a+y and 8 are equal to each other allowing us to form the first equation a+y = 8

Row 3, column3: The cost for all the adults is 12a dollars. Similarly it costs 6y dollars for just the young adults. Adding up the two subtotals we get 12a+6y as the total cost for everyone. We're told that the family paid a total of $66. So like with the previous box, we can equate the two expressions getting us the second equation to be 12a+6y = 66
------------------------------------------------------------------------------

Again everything is summarized in the image attachment. 

The two equations we pull away from that table are
a+y = 8
12a+6y = 66
which is the system of equations to set up

7 0
3 years ago
Suppose a study of population 400,000 has been growing at rate of 7% per year if this rate continues find the population of this
inessss [21]

Answer:

680,000

Step-by-step explanation:

Population before growing rate: 400,000

Growing rate: 7%

Duration: 10 years

___

First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.

400,000 x 7/100 = 28,000

So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.

28,000 x 10 = 280,000

This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.

400,000 + 280,000 = 680,000

4 0
2 years ago
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