All categories

2 years ago

Please help and thank you!!

Mathematics

1 answer:

yaroslaw [1]2 years ago

6 0

Here we have to use the fact that the domain of the function is equal to the range of the inverse function and range of the function is equal to the domain of the inverse function .

The range of the function is given . It means, the domain of the inverse function is given .

Correct option is the last option .

You might be interested in

Jack spent $40 on new shoes then he spent half of what he had left on clothes finally he gave five dollars to his brother now he

aleksandrvk [35]

This is a working backwards problem. You know he has $35 at the end. Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80. Before he spent the $40 on shoes, he would have had $120, so the answer is $120.

4 0

3 years ago

Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

Explain why there is 1/3 cup of fruit i. Half a smoothie

Darina [25.2K]

This kinda ales no sense

5 0

3 years ago

A plumber charges a flat fee of $76 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour

prisoha [69]

Answer:

(a) 12 hours

(b) $220

Step-by-step explanation:

(a) First we plug in $364 for C

C=76+24h

364=76+24h

Subtract 76 from both sides

24h=288

Divide both sides by 24

h=12

She spent 12 hours fixing the drain

(b) First we plug 6 hours in for h

C=76+24(6)

Multiply it out

C=76+144

Add

C=220

It costs $220 for fixing a drain that takes 6 hours

5 0

2 years ago

In august the simons water bill was $48.in September it was 15% lower . What was the simons water bill in September

slega [8]

Water bill of Simons in the month of August = $48
Percentage of bill that was lower in the month of September = 15%
then
Amount of bill that was lower in the month of September = (15/100) * 48
   = 720/100 dollars
   = 7.2 dollars
So
The bill for the month of September = (48 - 7.2) dollars
      = 40.8 dollars
So Simon will have to pay $40.8 as the water bill for the month of September. I hope the procedure is clear enough for you to understand.

3 0

3 years ago

Read 2 more answers