What is the inverse of f(x) = The quantity of three x plus five, over seven.?

Answers

Answer 1
Answer: To solve for the inverse of the function, one way to go about it is to switch or reverse the variables for both x and y. Then solve for y or f(X) again.
F(X) = 3x+5/7
Y = 3x+5/7
X = 3y+5/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
7x-5/3 = 3y/3
7x-5/3 = y
Y = 7x-5/3
F(x) = 7x-5/3.

Related Questions

A store purchased a DVD for $12 and sold it to a costumer for 50% more than the purchase price. The customer was charged a 7% sales tax when the DVD was sold. What was the customer's total cost for the DVD
The perimeter of a rectangle is 34 units. Its width is 6.5 units. What is its length?
Luis has a biweekly gross pay of $770 and claims 2 federal withholding allowances. Luis has all of the following deductions from his gross pay:HEEEEEEEELLLP ASAAP! PLZZZZ
What's 12 times 12 plus 6
What is the answer for. What is hg = 45g

CHECK MY MATH PLEASE!? 1. When you estimate expenses for a month, you should _______.

A: add expenses for rent/mortage, utilities, food, and gas. (my answer)
B: Round all expenses down.
C: Add only the rent/mortgage and utility expenses.
D: Estimate that it will be about 20% of your net income.

2. Suppose you have a bi-weekly mortgage payment of $657. If there are typically 4 weeks in a month, what do you need to do to estimate your monthly mortgage payment?

A: Multiply it by 2, then round
B: Round it down to $650, then multiply by 2
C: Add it to other estimates just as it is
D: Multiply it by 4, then round (my answer)

3. Rent is $978. Phone charges last month were $54.89. Groceries cost about $93/week. What is a good estimate of your monthly expenses?

A: $1,126.00
B: $1,100.00
C: $1, 433.00
D: $1,400.00 (my answer)

4. Bi-weekly mortgage is $455. Monthly phone charges are $34.95. The electric bill last month was $65.88. Groceries cost about $87/week. What is a good estimate of your monthly expenses?

A: $643.00
B: $904.00 (my answer)
C: $1,098.00
D: $1,359.00

Answers

1. If I remember from class correctly, your monthly expenses should be about 20% of your net income, so the answer would be D. Although, adding up the expenses would work as well.
2. If the payment is bi-weekly, and there are 4 weeks in a month, you only have to multiply by 2, because "bi-weekly" means every 2 weeks, which means the payment would come twice a month. So, the answer would be A, Multiply by 2 and then round.
3. Round each of the numbers. 978 becomes 980, 54.89 becomes 55, and 93 becomes 90. We'll assume that there are 4 weeks in a month. Add them all up. 980+55+90+90+90+90 = 1395  So, yes, your answer of D, 1,400.00 is a good estimate.
4. Again, round each of the numbers. 455 can stay the same, 34.95 becomes 35, 65.88 can stay at 65 for the sake of easy math, and 87 gets rounded up to 90.
We'll keep assuming that there are 4 weeks in a month. Now, add them all up. Be sure to remember that the rent is bi-weekly, so it has to be added in twice. 455+455+35+65+90+90+90+90 = 1370. This means that of the choices, D, 1,359.00 is a good estimate of the monthly expenses.

Answer:

1. A its not D

2. A

3. D

4. D

100%

*★,°*:.☆( ̄▽ ̄)/$:*.°★* 。

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answers

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

Answer:

280 tons of wood

Step-by-step explanation:

Khan

What is 4 1/2 divided by 3/4??

Answers

4 1/2  divided by 3/4 can be written as 9/2 divided by 3/4.
The rule of multiplying fractions is change the division sign into multiplication and change the second fraction into it's reciprocal.
9/2 x 4/3
2 x 3 = 6
9 x 4 = 36
36/6= 6
in conclusion 4 1/2 x 3/4 = 6

Final answer:

To divide 4 1/2 by 3/4, convert 4 1/2 to the improper fraction 9/2. Then, multiply it by the reciprocal of 3/4. The result is 6.

Explanation:

To divide a mixed number by a fraction, we first need to convert the mixed number to an improper fraction. In this case, 4 1/2 can be written as the improper fraction 9/2. Then, we can multiply the numerator of the first fraction (9/2) by the reciprocal of the second fraction (4/3).

So, 4 1/2 ÷ 3/4 = (9/2) × (4/3) = 36/6 = 6.

Therefore, 4 1/2 ÷ 3/4 equals 6.

Learn more about Division of mixed numbers here:

brainly.com/question/35412502

#SPJ11

A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a show, how much total profit was there from ticket sales?

Answers

. A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a showQuestion: how much total profit was there from ticket sales?=> 200 dollars = the flat charge rate of the theater technician=> 400 000 dollars = the theater's profit from the ticket sale=> 5% the percentage a technician is askingSolutions=> 5% = 5% / 100% = 0.05=> 400 000 dollars * 0.05 = 20 000 dollars.Let's total=> 200 + 20 000 = 20 200 dollars.

What is 2.9% of 1000

Answers


' 2.9% ' means ' 0.029 '

' of ' means ' times '

' 2.9% of 1,000 ' means ' 0.029 x 1,000 '

   0.029 x 1,000 = 29


1000 x 2.9 %= 29. This is how my math teacher told me how to do it.

HELP QUICK Jamie created a list of factors of 32. 32: 1, 2, 4, 6, 8, 16, 32 which number should be removed from the list to make the list accurate? 1 6 16 32

Answers

Answer:

6

Step-by-step explanation:

1: divide 32 by each factor

2:ensure that the answer is a whole number

3: 6, when calculated gives you 5.3(and the threes will go on)

4:You get your answer

Answer:

6

Step-by-step explanation:

The factors listed shows that 1 x 32 = 32, 2x 16= 32, 4 x 8= 32

BUT! When we get to 6 it does not have a number to multiply to that is a whole number. For example, 32/6= 5.333 which is not a whole number. Factors have to be whole numbers and no decimals! So, 6 should be removed from the list to make it accurate!