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3 years ago

Algebra 2 inverse functions

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer:

The inverse function is:

{(1,8), (2,-1), (5,10), (-3,-3)}

Step-by-step explanation:

When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.

Given function is:

{(8,1), (-1,2), (10,5), (-3,-3)}

Reversing the order of elements of ordered pairs will given us the inverse function.

The inverse function is:

{(1,8), (2,-1), (5,10), (-3,-3)}

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A couple has a 400 acre farm that they want to leave to their future grandchildren. They decide to give each grandchild 12% of t

ruslelena [56]

Answer:

Step-by-step explanation:

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2 years ago

While looking at some reports, a store manager notes that televisions that retail for $475 and up costing customers $513 once th

Mekhanik [1.2K]

The sales tax percentage of the store manager report is 7.41%

<h3>How to solve for the sales tax percentage</h3>

Customers are subject to a charge known as sales tax when they buy goods and services.

It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.

The sales tax is first calculated by

= price after tax - price before tax

= 513 - 475

= 38

sales tax percentage is calculated using the formula

= (Tax amount / Price before tax) × 100%

= (38 / 513) * 100

= 7.4074

= 7.41%

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brainly.com/question/20220356

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1 year ago

What is the answer of this problem -7/3(3x-2)=-21 ?

weeeeeb [17]

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

-----------------------

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3

3 0

3 years ago

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain

Ainat [17]

Begin by finding the lowest point the quadratic equation can be, the vertex;

x²-1= is just a translation down of the graph x²

vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}.

For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers.

Hope I helped :)

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3 years ago

Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area

zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be $(\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8$ cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

8 0

2 years ago