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2 years ago

Which graph shows a function whose inverse is also a function?

Mathematics

2 answers:

lozanna [386]2 years ago

5 0

Answer:

1st

Step-by-step explanation:

tangare [24]2 years ago

3 0

Answer:

To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time. If it is touching more than one point on the line at a time, the line is not a valid function. The first line and its inverse both pass the test.

Step-by-step explanation:

You might be interested in

F(x)=2^x evaluate f(5)

Helen [10]

Hey there!

To solve this, we will first replace x with 5 anytime we see it in the equation.

f(5) = 2^5

Now, we simplify 2^5.

The base is 2 and the exponent is 5 in this case.

The exponent is the number of times you multiply the base by itself. In oour case:

2 x 2 x 2 x 2 x 2 = 32

f(5) = 32

Hope this helps!

3 0

2 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

2 years ago

Derrick and Sam need 10 pounds of colored gravel for the bottom of their new fish tank. Derrick has 2 pounds of purple gravel an

Sunny_sXe [5.5K]

Answer:

4 yellow gravel . 2+4=6

10-6= 4

8 0

2 years ago

N x 50 = 5,000. Explain your solution

prohojiy [21]

In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
$N*50=5000\\\frac{n*50}{50}=\frac{5000}{50}\\n=100$

3 0

2 years ago

There are 12 chocolates in a box of white,milk and dark chocolates.There are 3whites,4 milk and the rest dark chocolates.What is

Luden [163]

Answer:

5/12=.417

Step-by-step explanation:

12-3-4=5 dark ones

6 0

2 years ago