If the function f(x)=mx+b has an inverse function, which statement must be true

If The Function F(x)=mx+b Has An Inverse Function, Which Statement Must Be True

Answers

Answer 1

Answer:

The first option .

Step-by-step explanation:

m must not be zero

Answer 2

Answer:

a) m ≠ 0

Step-by-step explanation:

Given: The function y = mx + b has an inverse function.

The given function is the equation of a line in slope-intercept form.

m is the slope and y-intercept is b.

Given that the function has an inverse function, therefore, the slope must not be equal to zero.

What if the slope is zero, if the slope is zero, then there will not be an inverse function.

Therefore, the answer is m≠ 0.


Related Questions

-8 + (+7)= add. need help

Answers

Question

-8 + (+7)=


Answer:

-1

Step-by-step explanation:

the expression -8 +(+7) is equal to 7 - 8 (commutative property)

7 - 8 = -1

Your housing and fixed expenses are $685.70/month. If they are 33% of your realized income, how much is your realized income per month?

a) $2,077.88


b) $2,790.55


c) $2,219.91


d) $2,488.16

Answers

$685.70÷33%=$2,077.88
A

Answer:

Option a. $2077.88 is the correct answer.

Step-by-step explanation:

Your housing and fixed expenses are $685.70 per month.

If they are 33% of your realized income.

Let your realized income per month be x

33% of x = $685.70

[tex]\frac{33}{100}[/tex] of x = 685.70

0.33x = 685.70

x = 685.70 ÷ 0.33 = 2,077.8787 rounded to $2,077.88

Your realized income per month would be $2,077.88.

I just need the answers for 10 and 12

Answers

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7


12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8



19. Describe how the graphs of y = |x| and y = |x + 5| are related. (1 point)
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
5.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
–5.
The two graphs are the same.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is
5.

Answers

Answer:

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is  5.

Step-by-step explanation:

When we add the 5 inside the absolute value, we shift the graph to the left 5 units.   The y intercept  of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 .  The x intercept of  y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5.  The graph has the same shape

Which graph represents the piecewise-defined function? y={−45x−3   if  x<03x−10   if  x≥2

Answers

Step-by-step explanation:

[tex]y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.[/tex]

[tex]\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}[/tex]

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

(0, -3) has an open dotnothing is plotted between x = 0 and x = 2(2, -4) has a closed dot

Julia is allowed to watch no more than 5 hours of telivison a week. So far this week, she has watched 1.5 hours. write and solve an inequality to show how many hours of teli she can watch this week. ( can u show your work along with it? )

Answers

Answer:

she can watch 3.5 hours this week.

Step-by-step explanation:

Julia is allowed to watch no more than 5 hours of television a week.

Let x be the number of hours she can watch per week

number of hours not more than 5 hours

so x<=5

She already watched 1.5 hours. so inequality becomes

x+ 1.5 <= 5

Now we solve for x

subtract 1.5 on both sides

x + 1.5 < = 5 - 1.5

x < = 3.5

So, she can watch 3.5 hours this week.

16.45 markdown 33% what’s the anwser

Answers

dude, use a calculator

Step-by-step explanation:


Greetings!

Answer:

= 11.02

Step-by-step explanation:

Firstly, we need to find the percentage of the amount left first. This can be done by subtracting the percentage from 100:

100 - 33 = 67

To find the percentage of something, you need to use the following equation:

Amount x [tex]\frac{percentage}{100}[/tex]

Simply plug the given values in:

16.45 x [tex]\frac{67}{100}[/tex] = 11.02

So the answer is 11.02!


Hope this helps!

|60| ___ |-60|
1. =
2. <
3. >

Answers

This answer is equal to.

Answer:

1. =

Step-by-step explanation:

Absolute value means always positive

so

|60| ___ |-60|

60  _____ 60

They are equal

Which is the graph 3x + 5y=-15

Answers

It's a linear function. We need only two points to the plotting of the graph.

[tex]3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)[/tex]

a) 1
b) -20
c) 20
d) 7

Answers

[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]

Use the Counting Principle to find the probability of rolling a 4 on each of 3 number cubes

Answers

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.

We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].

But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].

there are 54 girls in a bowling league. there are 2 girls for every boy in the league. how many boys are in the league?

Answers

54÷2 since there 2 girls for each boy so 2 girls for 1 boy and there 54 girls

54÷2=27

so there 27 boys in the league

Answer:

27 boys

Step-by-step explanation:

1. divide 54 by 2

the answer will come up to 27.

to check your work you can do 27 times 2

27 × 2 = 54

To convert 3 square feet to square centimeters, multiply 3 by 9.29 × 10-2
True
False

Answers

Final answer:

To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².

Explanation:

To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.

So, the correct conversion factor is (30.48 cm/1 ft)².

To convert 3 square feet to square centimeters, you can use the conversion factor as follows:

(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²

Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.

How many outcomes are in the sample space

Answers

Answer:

The number of objects multiplied.

Step-by-step explanation:

Say you have a dice and a spinner. The dice has 6 sides and the spinner has 4 sides. 6x4=24. So you take the number of outcomes of each object and multiply it.

the answer is 4 hope this helped

After a 15% off sale, a pair of Levi jeans were $11.50. How much was the original price of the Levi jeans?

Answers

11.50×15%=1.725 that is the answer

The figure shows five points. A point has been translated right and up

Answers

A point has been translated right and up from point D could be the image of B.

It indicates that a point was translated right and up.

As a result, any point existing on the rightmost side cannot be the translated point.

As a result, points E and D are ruled out.

There is no point that is higher than point A.

As a result, no "up" translation is available for point A.

Only points C and B are capable of "right and up" movement.

As a result, the first option "Point D could be the image of B" is correct.

i am confused help plz

Answers

Answer:


Step-by-step explanation:

a 6(m+3)

b expression

equation

Do they qualify for bankruptcy?

Answers

Answer:

no


Step-by-step explanation:

they do not :)

A storeowner orders 25 calculators that cost ​$48 each. The storeowner can sell each calculator for ​$60. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$2 charge for each returned calculator​ (although the initial cost is​ refunded). What is the​ storeowner's profit?

Answers

25*48=1,200

So we start at -1,200

22*60=1,320

So currently we are at a profit of $120.

120-6=114


Total profit: $114

Final answer:

As per the given values, the storeowner's profit is $114.

Explanation:

Total number of calculators = 25

Cost of calculators = ​$48

The amount at which they can be sold = $60.

To calculate the storeowner's profit, we need to consider the total cost and total revenue.

First, calculate the total cost of the calculators:
25 calculators x $48 each
= $1200.Next, calculate the total revenue from the sale of the calculators:
22 calculators x $60 each
= $1320.Deduct the cost of the returned calculators:
3 calculators x $2 charge each
= $6.Finally, calculate the profit:
Total revenue - Total cost - Cost of returned calculators
= $1320 - $1200 - $6
= $114.

Learn more about Profit here:

https://brainly.com/question/34892562

#SPJ11

Michael and Imani go out to eat for lunch.

Part A
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B
If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?

Answers

Answer:

Part A: $27.32

Part B: $32.24

Step-by-step explanation:

Part A:

$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.

Part B:

We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.

A. The bill would be $27.32, plus tax

Explanation:
1. We need to find 8% of 25.30
2. To do so, we need to cross multiply
3. 25.30/100 = x/8 (percents on the bottom, price on the top)
-multiply 25.30 by 8 to get 202.4
-divide 202.4 by 100 to get 2.024
4. Add the two together!
-25.30 plus 2.024 is is 27.32 (rounded)


B. The total cost of lunch would be $32.24 (plus tax and tip)

Explanation:
1. We need to find 18% of 27.32
2. To do so, we need to cross multiply
3. 27.32/100 = x/18
-multiply 27.32 by 18 to get 491.76
-divide 491.76 by 100 to get 4.9176
4. Add 4.9176 and 27.32 to get 32.24 (rounded)



Hope this helps!

This table represents a function. Plot points to represent the function as a graph.
X Y
-4 10
0 8
4 6
10 3

Answers

Answer:

it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(

Step-by-step explanation:


Answer:

The points represent a linear function (first-order polynomial).

Step-by-step explanation:

The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).

PLEASE ANSWER 30 POINTS!
To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. How many deer are in the forest?

Answers

Answer:

2520

Step-by-step explanation:

There are 405 deer per 45 tags.

The ranger tagged 280 deer.

No. of deer = 280 × 405/25

No. of deer = 280 × 9

No. of deer = 2520 deer

There are 2520 deer in the forest

Answer:

Total deers in the forest is 640

Step-by-step explanation:

Since the Number of tagged deer is 280

the number of caught deer is 405 after all tagged deers were released

Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest

The number of deers in the forest is

405-45+250=640

The remaining tagged deer that did not return is

280-45= 235

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π

Answers

Answer:

C = 35 pi

Step-by-step explanation:

The new diameter is 5 + 30 = 35

The circumference = pi * d

The circumference = 35*pi

Answer:

35π cm

Step-by-step explanation:

Hope this helps!


[tex] {x}^{2} = \frac{121}{196} [/tex]

Answers

[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]

Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of hours, which expression would NOT show their total combined earning

Answers

To answer this we would need the expressions given.

Find the equivalent expression using the same basis (34•84)^3

Answers

Answer:

(2)^9•(3)^3•(7)^3•(17)^3

Step-by-step explanation:

(34•84)^3

=(34)^3•(84)^3

=(2•17)^3•(2•2•3•7)^3

=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3

=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3

=(2)^9•(3)^3•(7)^3•(17)^3

Answer:

The answer is 2^9•3^3•7^3•17^3

Step-by-step explanation:

First, we simplify the expression inside bracket

34•84

= (2•17)•(2•42)

= (2•17)•(2•2•21)

= (2•17)•(2•2•3•7)

= 2^3•3•7•17

Substituting back

(34•84)^3

= (2^3•3•7•17)^3

= 2^9•3^3•7^3•17^3

Solve h + p = 4(k − 8) for k.

Answers

Answer:

[tex]\frac{h+p+32}{4}[/tex]

Step-by-step explanation:

distribute the parenthesis

h + p = 4k - 32 ( isolate 4k by adding 32 to both sides )

h + p + 32 = 4k ( divide both sides by 4 )

k = [tex]\frac{h+p+32}{4}[/tex]


expand the brackets, to get 4k-32

sp you have; h + p = 4k - 32

add 32 to both sides==     h + p + 32 = 4k

/4

k= (h + p+ 32)/4

Which equation is a point slope form equation for line AB?

a) y−2=−2(x+6)
b) y−2=−2(x+2)
c) y−6=−2(x+2)
d) y−2=2(x+2)

Answers

Answer:

the answer is c

Step-by-step explanation:


Answer:

c) y−6=−2(x+2)

Step-by-step explanation:

The general point slope form equation is:

y - y1 = m*(x - x1)

where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.

To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:

m = (y2 - y1)/(x2- x1)

Coordinates of point A: (-2, 6)

Coordinates of point B: (2, -2)

Replacing into the equation:

m = (6 - (-2))/(-2 - 2)

m = 8/(-4)

m = -2

Replacing this value and coordinate of point A into the general point slope equation we get:

y - 6 = -2*(x - (-2))

y - 6 = -2*(x + 2)

recursive formula 2,5,11,23

Answers

Answer:

The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ... (sequence A055010 in the OEIS)


Step-by-step explanation:


There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

BOLD number are multiples of 4 or 6

4 out of the 15 numbers are a multiple of either 4 or 6,

so the probablilty would be 4/15 or a 26.6% chance.

The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.

The spinner has 15 equal areas numbered 1 through 15.

If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;

The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.

multiple of 6 are 6 and 12.

multiple of 4 are 4, 8 and 12

union of the set = 4, 6, 8, 12

number of acceptable value = 4

The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value

probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15

learn more: https://brainly.com/question/19217522?referrer=searchResults

Other Questions
Who was the 16 president in USA Which rate indicates the number of children that would be born per women if she were to live to the end of her child-bearing years? Which one of the following was a problem caused by the articles of confederation When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please. Consider the function f(x)=23x+1.What is f(3)? The rules and conventions governing correct or polite behavior and communication are called ______________.a.cultural normsb.etiquettec.netiquetted.guidelinesPlease select the best answer from the choices provided Why is the scientific method important? 35 PTS!!! Which strategies are recommended to conserve and manage water? Check all that apply. 1. Stop using water in all areas of life. 2. Use technology to produce clean water. 3. Use water wisely at home and in industry. 4. Take care of living things that live in water. 5. Encourage recreational activities year-round. 6. Use techniques and tools to reduce water loss. Read the sentence.Colin has volunteered at the animal shelter at least three time.Which verb tense does the sentence contain?A.PastB.Past perfect C.Present D.present perfect In Spanish, students refer to their classes in terms of _____ rather than _____. horas, horariosperodos, horashoras, perodoshoras, clases What conflict occurs in the passage? an internal conflict within the mother, who wishes she could buy more things for her family an internal conflict within the narrator, who wants to perform better than the little girl on the talent show an external conflict between the narrator and her mother over whether the girl on television is playing well an external conflict between the narrator, who wants to play piano, and her mother, who cannot afford to buy one what actions by President Woodrow Wilson disappointed civil rights advocates? Identify the item you see What is the meaning of this simile in this statement, Within the irregular arc of coral the lagoon was still as a mountain lake. how deep down is the earth inner core What percent of sharps injuries are due to the use of hypodermic needles or syringes, suture needles, winged steel or butterfly type needles, and I cats How can globalization negatively affect American farmers health? A.By making it easier for companies to outsource dangerous farmwork to foreign countries B.By pressuring farmers to use dangerous pesticides to compete on a global scale C.By preventing farmers from using agricultural techniques developed in the green revolution D.By introducing international laws forcing farmers to house animals in unsanitary conditions Urban and Rural Question 18 options: Synonyms Antonyms Neither Hi!! Please Help ASAP!! Now the girl again seeks out the tree: though trembling still, she would not fail his tryst; with eyes and soul she looks for Pyramus; she wants to tell her lover how she had escaped such perils. She finds the place the tree's familiar shape; but seeing all the berries' color changed, she is not sure. "Pyramus and Thisbe," Ovid Read the passage. Which statement best describes how the pacing of events heightens tension? The fast pace of the events does not allow the readers to think for themselves. The fact that Thisbe sees Pyramus immediately makes the story more shocking. The focus on the color of the berries makes the reader wonder if Pyramus is still alive. The slow description of the search and surroundings builds anxiety in the reader. Steam Workshop Downloader