What is the inverse function of d(x)= 2x-4

Answers

Answer 1

Answer: Formula for inverse function:
$d^(-1)(y)=?\ny=2x-4\n2x=y+4\nx= (y+4)/(2)\n d^(-1)(y)= (y+4)/(2)$

Answer 2

Answer: $y=2x-4 \n Replace \ x \ by \ y:\n x=2y-4\n Isolate \ y:\n 2y=x+4\n y=(x+4)/(2)\n \n \boxed{d^(-1)(x)=(x+4)/(2)}$

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If an equation is an identity, how many solutions does it have?
zero
one
infinite

Answers

If it's an identity over an infinite field, then it has an infinite number of solutions.

Where is the number 4 − 8 located on a horizontal number line?4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

Answers

Answer:

C. 8 units to the left of 4

Step-by-step explanation:

We are asked to find the the position of $4-8$ located on a horizontal number line.

We know that negative numbers are located on the left side side of number line and positive numbers are located on the right side of number line.

4 will be located to the 4 units right from zero and negative 8 will be located 8 units left from 8.

Therefore, option C is the correct choice.

Answer:

8 units to the left of 4

Step-by-step explanation:

A dance floor is made from square wooden tiles with a side length of 1 foot. the floor can be laid out as a square or as a rectangle. Yeasmin chooses a rectangular dance floor for her party. The width of the rectangular dance floor is 10 feet less than the width of the square dance floor, and its length is 15 greater than the length of the square floor.how much greater is the length of the rectangular dance floor than its width?
The perimeter of the rectangular dance floor is 130 feet. What are the length and width of the dance floor?
If the unit rate is $0.50 per tile, how much would it cost Yeasmin to buy the number of tiles needed to make up the dance floor

Answers

legnth/width for square = x
width of rectangle= x-10
legnth of rectangle=x+15
so (x-10)+25=x+15 which is the first part

part two
the perimiter of rectangle floor =130
perimiter= 2width+2legnth so 130/2=width+height
width=x-10 and legnth=x+15 so
x-10+x+15=130/2
2x+5=75
minus 5 from both sides
2x=70
divide by two
x=35 which is legnth/width of the square, but we want the legnth and width of the rectangle so
x-10=width=25
x+15=legnth=50
so the cost of the floor is (50 times 25)times $0.50 or
(50 times 25)/2 so
$525

How does

h(x)=-(x-3)^2+4

compare to the graph

g(x)=x^2

Answers

Top equation opens down and the second opens up

A kite has diagonals 5.3 ft and 6 ft. What is the area of the kite? A. 5.65 ft². B. 15.9 ft². C. 31.8 ft². D. 22.6 ft²

Answers

Answer: The area of the kite is 15.9 sq. ft.

Step-by-step explanation: Given that a kite has diagonals of lengths 5.3 ft and 6 ft.

We are to find the area of the kite.

We know that the area of a kite having diagonals of length 'p' units and 'q' units is

$A=(p* q)/(2).$

Here, p = 5.3 ft and q = 6 ft.

Therefore, the area of the kite will be

$A(p* q)/(2)=(5.3* 6)/(2)=5.3* 3=15.9~\textup{sq. ft}.$

Thus, the correct option is (B) 15.9 sq. ft.

look at diagram to understand the soluiton

A=(1/2)ab where a is one diagonal and b is the other
A=(1/2)(5.3)(6)
A=(3)(5.3)
A=15.9
B is answer

In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Explanation:

In this case, we can add the percentages because they are taken of the same number.

The state sales tax, 4.6%, will be taken of $220, the purchase price. The county sales tax, 3.65%, will also be taken of $220, the purchase price. Since they are being taken of the same number, we can add the percentages:

4.6+3.65 = 8.25%

Now we can take 8.25% of 220:

8.25% = 8.25/100 = 0.0825

0.0825(220) = $18.15

For this case, the total percentage of taxes is given by:

$4.6 + 3.65 = 8.25$