MATHEMATICS HIGH SCHOOL

F(x) = 2/x + 7

Write steps and inverse

Answers

Answer 1
Answer:

Answer:

y=2/(x−7)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x. If the initial function is not one-to-one, then there will be more than one inverse. So, swap the variables: x=7+(2/y) for y. y=2/(x-7).

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A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in thebank for a while. Calculate the amount of money the group will have given the following scenarios:
c. If the youth group needs the money quickly, which is the better choice? Why?

Answers

Answer: A) $896 b) $927.42 c) Cool bank

Step-by-step explanation:

A)

Cool bank Simple interest is 4% and the youth group leaves the money for 3 years. Therefore,

$800 x (4/100) x (3) = $96 (Interest gotten)

Therefore total funds = $800 + $86 = $896 in total.

B)

Hot bank simple interest is 3% and youth group leaves the money for 5 years. The fore

$800 (1.03)^5 = $927.42

C)

If the youth needs the money quickly, cool bank should be perfect because the bank pays higher interest rate than hot bank. Hot bank rates is better for a longer period of time due to compounding of interest

A software company is releasing one of their products on a CD. The manufacturer charges a $5,500 setup fee and $1.00 per CD. Approximately how many CDs must be produced so that the total cost per CD is $5.50? A) 1,222 CDs
B) 2,200 CDs
C) 1,571 CDs
D) 5,500 CDs

Answers

Given:
set-up fee 5,500
variable fee 1 per CD.

Cost per CD is $5.50

5.50 - 1= 4.50

5,500 / 4.50 = 1,222 CDs Choice A.

1*1,222 = 1,222
1,222 + 5,500 = 6,722
6,722/1,222 = 5.50

Answer:

It is actually 2,200, which is option B. I originally put option A but it said it was incorrect and told m eit was 2,200. I hope i was able to help ;)

Step-by-step explanation:

4. You have a deck of 40 number cards: five of each number 2 to 9. You shuffle the deck, pick a card, look at it, return it to the deck, and then repeat for a second card. Determine each theoretical probability. a) sum is 12 b) difference is less than 5 c) product is odd​

Answers

To determine the theoretical probabilities, we'll analyze the different possible outcomes for each case.

Total number of cards = 40 (5 cards for each number from 2 to 9)

a) Sum is 12:

There are several combinations of cards that can result in a sum of 12:

  • 3 and 9
  • 4 and 8
  • 5 and 7
  • 7 and 5
  • 8 and 4
  • 9 and 3

Total favorable outcomes = 6 (since there are 6 possible combinations)

Total possible outcomes (since you're drawing two cards) = 40 * 40 = 1600

Probability (sum is 12) = (Number of favorable outcomes) / (Total possible outcomes)

Probability (sum is 12) = 6 / 1600 = 0.00375

b) Difference is less than 5:

There are several combinations of cards that can result in a difference less than 5:

  • 2 and 3
  • 3 and 2
  • 3 and 4
  • 4 and 3
  • 4 and 5
  • 5 and 4
  • 5 and 6
  • 6 and 5
  • 6 and 7
  • 7 and 6
  • 7 and 8
  • 8 and 7
  • 8 and 9
  • 9 and 8

Total favorable outcomes = 14

Total possible outcomes = 1600

Probability (difference is less than 5) = 14 / 1600 = 0.00875

c) Product is odd:

For the product to be odd, one or both of the numbers drawn must be odd. Since there are five odd numbers (3, 5, 7, 7, 9), and each number has five cards, the total number of favorable outcomes is 5 + 5 + 5 + 5 + 5 = 25.

Total possible outcomes = 1600

Probability (product is odd) = 25 / 1600 = 0.015625

To summarize:

  • a) Probability (sum is 12) ≈ 0.00375
  • b) Probability (difference is less than 5) ≈ 0.00875
  • c) Probability (product is odd) ≈ 0.015625

How do you divide 1.29 by 6

Answers

The answer is .215
I hope this helped good luck


you would move decimal 2 places to the right so it becomes  129/6

What is -7nx+2nx+2n+7x equal to

Answers

-7nx + 2nx + 2n + 7x ...combine like terms
-5nx + 2n + 7x
5nx+2n+7x which is combined like terms all you do is cut the problem down.

Round 1330.464489 to one decimal place

Answers

Answer:

1330.5

Step-by-step explanation:

I rounded to the tenths place.

Answer:

1330.5

Step-by-step explanation:

Hope this helps! <3
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