Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Answers

Answer 1
Since f(x) has a domain and range of all real numbers, it's inverse also has a domain and range of all real numbers.  Furthermore since every value pair of (x,y) for f(x) is unique, its inverse will also have the inverse unique value pairs (y,x).
Answer 2

Answer:

f(x) is a one to one function

Step-by-step explanation:


Related Questions

If x = -6 and y = -9, find xy - 3x + 2y

Answers

54, tho this might be right or wrong.
It's 54 . You put the numbers in for the letters and simplify from there!

The Shake Shack sells large and small shakes. A large shake costs $5, and a small shake costs $3. On Sunday, the Shake Shack had a total revenue of $479. Which equation can be used to represent x, the number of small shakes sold and y, the number of large shakes sold?
479x + 479y = 15
4x + 4y = 479
5x + 3y = 479
3x + 5y = 479

Answers

Since X represents small shakes and y large ones The 3 must be with x and the 5 with y. The last equation is the only one that fits this criteria.

Answer: 3x + 5y = 479

Answer:

3x + 5y = 479

Step-by-step explanation:

As the problem states it, the number of small shakes will be represented by "x" and the number of large shakes will be represented by "y", so we know that the number of each mutiplied by the cost, its equal to the total revenue which is $479, so we just put that into an equation:

3x + 5y=$479

And that´s the equation that can be used to represent that inequality.

What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
-----------------------
2

3

7

9

Answers

63 = x(7)
9 = x

The answer is D) 9

Answer:

the answer is 9

Step-by-step explanation:

i just did it

Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? (–1.5, 0) (0, –1.5) (0, 1.5) (1.5, 0)

Answers

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by [tex]y^2=6x[/tex] where x and y are modeled in inches.

Now,the given equation [tex]y^2=6x[/tex] is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation [tex]x^2=4mx[/tex], we get

[tex]4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5[/tex]

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

Answer:

Answer: (1.5, 0)

Step-by-step explanation:

Which rate is equivalent to the unit rate of 15 miles per gallon?

thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons

Answers

Sixty miles over four gallons would reduce down to 15 miles over one gallon which would 15 miles per gallon.

Answer:

Fourth option is correct.

Step-by-step explanation:

Since we have given that

thirty miles over three gallons  

Unit rate would be  miles per gallon.

three gallons over thirty miles  

Unit rate would be  miles per gallon.

four gallons over sixty miles  

Unit rate would be  miles per gallon.

sixty miles over four gallons

Unit rate would be  miles per gallon.

Hence, Fourth option is correct.

A substance with a density of 1.0 gram per cubic centimeter has a mass of 1.0 kilogram if its volume is 100 cubic centimeters. True or false ? Please answer with explanation

Answers

False!!! 
There are 1000 grams in a kilogram. The density is 1 gram / 1 cubic centimeter. So, the density could also be 1000 grams / 1000 cubic centimeters. That is the same as 1 kilogram / 1000 cubic centimeters

There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)

Answers

Let us first assign variables. We say that:

X = number of marigold plants

Y = number of sunflower plants

n = number of months

We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.

 

Part A.

For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

 

For the sunflower plants Y, an arithmetic sequence has a general form of:

Y = Yo + d * n

where d = -8 and Yo = 125

Y = 125 – 8 n

 

Part B. For n = 3

 

X = 150 (0.85)^3 = 92.12 = 92

 

Y = 125 – 8 (3) = 101

 

Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2

 

X = 150 (0.85)^2 = 108.38 = 108

 

Y = 125 – 8 (2) = 109

 

Therefore the two plants have approximately similar amount after 2 months.

 

What is 5xy cubed? To better rephrase it, what is 5xy to the power of 3?

Answers

(5xy)^3
5^3=125
x^3=x^3
y^3=y^3
Put it all together.
Final Answer: 125x^3y^3
(5xy)³
= (5)³(x)³(y)³
= 125x³y³

Explain how you know the valúes of the digits in the number 58

Answers

The 5 is in the tens spot and the 8 is in the ones.
Look at chart. Plug in an 8 where it says ones, and the 5 where it says tens. Yeah?

Help me please!! Thanks you

Answers

height = sqrt (26^2 - 10^)

10^2 = 100

26^2 = 676

 sqrt ( 676-100)=

sqrt(576) = 24

 height is 24 ft

Solve 8x 2 - 2x - 1 = 0

{-1/4, 1/2}
{-1/2, 1/4}
{1/2}

Answers

8x^2 - 2x - 1 = 0
(2x - 1)(4x + 1) = 0
2x - 1 = 0; x = 1/2
4x + 1 = 0;x = -1/4

answer
{-1/4, 1/2}

What is the smallest value in the stem and leaf plot below?
STEM | LEAVES
0 | 2 3 3 7
1 | 0 0 7
3 | 4 4 5 5

Key: 3 | 5 means 35
A:2
B: 20
C: 35
D: 2337

Answers

Listing the data from the Stem and Leaves table as raw data we have:

02, 03, 03, 07, 10, 10, 17, 34, 34, 35, 35

Hence the smallest value is 02 = 2

Answer: A

Final answer:

The smallest value in the provided stem-and-leaf plot is 2, corresponding to the lowest stem of 0 with the lowest leaf of 2.

Explanation:

The student's question is asking for the smallest value displayed in a provided stem-and-leaf plot. The stem-and-leaf plot shows numbers divided into stems (tens place) and leaves (ones place), which tells us unique values in the dataset. In this case,

STEM | LEAVES
0         | 2 3 3 7
1         | 0 0 7
3         | 4 4 5 5

According to the provided key, which states that '3 | 5' means '35', we can see that the smallest stem is '0' and the smallest leaf in the '0' stem row is '2', combining these gives us the smallest value in the plot. Therefore, the smallest value in the stem and leaf plot is 2, which corresponds to option A: 2.

George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?

I know the answer is $7 but is there a quicker way to do it instead of guess and check?

Answers

r+r+3+r+12

3r+15, let r=1

3+15=18, so we need each person to have 6

we know that g=12+1=13, f=3+1=4, r=1

So g must give away 7. f must take 2, and r must get 5

So 7+2+5=14 got exchanged in total.

But I can see that only $7 dollars was taken to be distributed to the other two as well.

Each level of a smartphone app adds more gems for you to match. On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total gems will you have matched?

Answers

First find the rate or common difference if it exists.

(123-13)/(12-1)

110/11

10  So this essentially form an arithmetic sequence because each term is a constant difference with respect to the previous term.

The sum of an arithmetic sequence, in simplest terms, is the average of the first and last terms times the number of terms, in this case:

(12-1+1)(13+123)/2

12(68)

816

So the player will have matched 816 gems in total for the twelves rounds.


Answer:

816 is your answer

Step-by-step explanation:

What is the length of leg y of the right triangle? A right triangle with hypotenuse 85 and legs 84 and y 1 9 13 26 Question 11(Multiple Choice Worth 1 points)

Answers

a^2 +b^2 = c^2

a^2 +84^2 = 85^2

a^2 + 7056 =7225

a^2 = 169

a= sqrt(169)

a=13

 length of leg y = 13

The answer would be 13

Which expression is equivalent to 2(9 + 7)?

Answers

The right answer is, 18+14.

The answer is A, 18+14 because 2x 9= 18 and 7x2=14

What is the LCD of 1/6 and 5/12 and 11/18

Answers

Finding the Lowest Common Denominator of: [tex] \frac{1}{6} ; \frac{5}{12} ; \frac{11}{18} [/tex]

Here's to find out how it was our LCD:  [tex] \frac{1}{6} = \frac{6}{36} [/tex]
                                                          [tex] \frac{5}{12} = \frac{15}{36} [/tex]
                                                           [tex] \frac{11}{16} = \frac{22}{36} [/tex]
To  find the fraction on the right side we had to multiply (and somewhat divide to get the answer)

So, therefore the Lowest Common Denominator of this question would most likely be: [tex]36[/tex]

Good Luck! 

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

A.  First, find the slope, which  is -0.5, and then insert it into point-slope form, which is y-y1=m(x-x1), or y-1=-0.5(x+5). That's point-slope form.


B.  First, distribute -0.5 to both terms  in the parenthesis, to get y-1=-0.5x-2.5, and lastly add 1 to both sides to get the slope-intercept form of y=-0.5x-1.5

Answer:

you didnt give the answer its A

Step-by-step explanation:

cause u gay

One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a representative sample of the schools population?

Answers

Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.

Leon lives in North Dakota, which has a sales tax of 5%. He just bought a home theater system whose full price was $450, but after sending in a rebate form, he later received a check in the mail for $75. What was the total amount that Leon ended up paying after receiving the rebate? A. $397.50 B. $472.50 C. $393.75 D. $375.00

Answers

Answer:

$397.50

Step-by-step explanation:

$450×5%=22.5 (Tax)

$450+22.5=$472 (Full Price of Item)

$472-$75=$397.5 (With Rebate)

final answer=$397.5

how do you solve the function 5x-4=-2(3x+2)

Answers

5x-4=-2(3x+2)
5x-4= -6x-4
5x+6x= -4+4
11x=0
X=0/11
5x - 4 = -2 (3x + 2)
Expand the bracket
5x - 4 = -6x - 4
11x = 0
x = 0/11 = 0

Hope it helped!

.736 rounded to the nearest hundredth

Answers

.74 is the answer rounded to nearest hundredth.

if Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per sec, how long will it take for the ball to hit the ground


PLZ somebody tell me ;c

Answers

4.64 seconds i believe


Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read? 30 15 720 360

Answers

This is a case of choosing objects from a set, where order matters.

The number of ways you can choose some objects from a set when order matters is called variations.

The formula of variations is:

Vm,n = m! / (m - n)!

In this case it is the selection of four articles from a set of six articles =>

V6,4 = 6! / (6-4)! = 6*5*4! / 4! = 6*5 = 30

Answer: 30

find the quotient -7 divided by 14/3

Answers

-1/6 is your answer i know so Hope this helps

What are the like terms of 8c - 12 - 5c +4

Answers

The like terms here are the two constants, 4 and -12

The other like terms are the multiples of the variable c, 8c and -5c

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explaims whether or not the truck can pass safely under the bridge?

Answers

1 foot = 12 inches. If you multiply 12 by 12 and then add 5, you get 149. 149 is less than 162 so it will be able to fit!

What is the equation of this line of best fit in slope-intercept form?
y = −6x + 3/4
y = 6x + 3/4
y =-3/4 x + 6
y =3/4 x + 6

PLEASE HELP!!! Get brainliest answer if right @peredhel

Answers

Hi! 

(before I answer, I wanted to say that tagging me doesn't normally get my attention, and you won't always get the people you want to answer your question to answer it, whether you tag someone or not, because it doesn't notify anyone. Hope that makes sense.) :)

So first let's look at the graph. 

The y intercept is 6. 
That rules out A and B. 

The line is going down, which means the coefficient to x will be negative. 

That rules out C.

Now to make sure D is correct, find the slope of the line. 
The slope of the line is 3/4, which means D is correct.

The answer is y = 3/4x + 6

Hope this helps! :)
Since the line is going down, the gradient must be negative
After that,
Let A be a point on the line with coordinates (0,6) while let B be another point on the line with coordinates (8,0)
Let's recall the gradient formula
y1-y2/x1-x2
So, the gradient of AB will be 6-0/0-8= -3/4
Let's also recall that the formula of a linear line is y=mx+c, m is the gradient while x is the y-intercept.
So in this case, the gradient is -3/4 while the y-intercept is 6.
As such, the answer must be the third one, y=-3/4x + 6

I know the answer but my meme dealer needs points

Answers

I ain't the meme dealer but whatev

GCF can be found by grouping the 2 numbers and finding the common group of factors

so factor them
36=2*2*3*3
84=2*2*3*7

the common factors are 2*2*3=12

the GCF is 12

Answer: 12 (C)

Step-by-step explanation: Im a "Meme Dealer" but not yours.

What is rhe name of the period that has the digits 751

Answers

The name of period that has 751 in the number is hundreds.
Because Period is considered to a group of places of the digits.

In this case, the given number is 751 and it is the group of hundred because 700 is the highest number it contains.

We can also write 751 as

751 = 700 + 50 + 1

It means,

7 hundreds + 5 tens + 1 ones
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