The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2 ​

Answer:

6

Step-by-step explanation:

Alcumus Explanation: The prime factorization of 24 is 2^3 times 3, so 2 and 3 have to be prime factors of Bob's number as well. The smallest possible number is when each the exponents of both of them is 1, giving 2 times 3= 6.

Hope it helped!

Answer:

4(2x+6)=32  x= 1

Step-by-step explanation:

multiply 4 to 2x and 6=   (8x+24)=32

then subtract 24 from 32 = 8

then divide 8 from both sides

8x/8=8/8

x=1

An equation is formed of two equal expressions. The unknown number is 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the unknown number be represented by x.

The given statement can be written in the form of an equation as shown below.

         → 4(2x + 6) = 32

The given equation can be solved as shown below.

4(2x + 6) = 32

Open the parenthesis by multiplying 4 inside the parenthesis,

8x + 24 = 32

Subtract 24 on both sides of the equation,

8x + 24 - 24 = 32 - 24

8x = 8

Divide both sides of the equation by 8,

8x/ 8 = 8/8

x = 1

Hence, the unknown number is 1.

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Answer:

Y=5-2X

Step-by-step explanation:

Answer:

IF YOU HAVE TO SOLVE FOR Y THEN TAKE X AS ANY NUMBER YOU WANT.

SUPPOSE X=2

PUT THE VALUE IN THE EQUATION THEN U WILL GET-

Y+2(2)=5

= Y+4=5

= Y=5-4

= Y=1

THIS IS JUST ONE EXAMPLE BUT THERE CAN BE INFINITIVE NUMBER OF ANSWERS FOR THIS QUESTION.

I WILL SHOW U ONE MORE EXAMPLE.

IF X=1

THEN THE EQUATION WILL BE-

Y+2(1)=5

Y+2=5

Y=5-2

Y=3

SO HERE WE GOT Y=1&3

AND ALSO Y CAN HAVE INFINITE SOLUTIONS (THIS IS ON THE BASIS OF THE PROPERTY OF LINEAR EQUATION, I.E., A LINEAR EQUATION CAN HAVE INFINITIVE SOLUTIONS)

Answer:

21 gallons

Step-by-step explanation:

600 = 29g

600/29 = g

20.689 = g

Round up

21 = g

Answer:

21 gallons

Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21

Answer:

Yes it equals 1,800

Step-by-step explanation:

Hope that helps

Answer:

Yes, it does. Good job!

Step-by-step explanation:

Answer:

C. 15 units

Step-by-step explanation:

PM = 7 units

p..............M..........N............Q

   7 unit                     4 unit

NQ = 4 units

Given that

N is midpoint of MQ

it means N divides MQ into two equal parts

thus

MN = NQ = 4 units

now

we have to find length of PQ

p..............M..........N............Q

   7 unit     4 units     4 unit

PQ = PM + MN + NQ

PQ = 7 units + 4 units + 4 units = 15 units

thus, correct answer is option c 15 units

Answer:

15 units

Step-by-step explanation:

Answer:

$13.75 per gallon

Step-by-step explanation:

To solve for any unit rate you use

[tex]\frac{1}{x} =\frac{5}{68.75}[/tex]

Cross multiply.

So 68.75 = 5x

Divide both sides by 5 to get x alone.

13.75 = x

Therefore 1 gallon equals $13.75

Answer:30 degrees

Step-by-step explanation:There are a couple of ways to do this.

This is the straightforward, “follow-your-nose” way. Find a point on each line. (Say, (1,2) on the line with slope 2 and (-1,1) on the line with slope -1. Then the angle in the triangle formed by the origin (0,0) and these other two point is the desired angle. One can find the cosine of angle in the triangle using the Law of Cosines, since the lengths of all of the sides can be found directly from the distance formula and the coordinates of the points. Finally, use arccosine to get from the cosine of the angle to the angle itself.

There is also a “slick” way, which relies on remembering the subtraction formula for tangents. tan(u-v) = [tan(u) - tan(v)] / [tan(u) + tan(v)]. Consider u as the angle between the positive x-axis and the line with slope -1, and v as the angle between the positive x-axis and the line with slope 2. Then the requested angle is u-v. We know tan(u) = -1 and tan(v) = 2, so substituting into the subtraction formula for tangents allows us to find tan(u-v). Finally, use arctangent of that value to find u-v.

Answer:C

Step-by-step explanation:

9 x 3 = 27

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4

Answer:

X = 20 degrees

Step-by-step explanation:

so we know that a triangle equals 180 degrees.

We already have 70 degrees so there are 110 degrees left.

Y is a right angle making it a 90 degree angle

110-90 equals 20 making x a 20 degree angle.

Answer:

(y+7)=5/6(x+6)

Step-by-step explanation:

For this problem we need to use Point-Slope Form to write an equation.

We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.

First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.

6x+5y=30

5y=-6x+30

y=-6/5x+6

So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.

When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.

x

So the negative reciprocal of -6/5 is 5/6, so that is our slope.

Now we can assemble our equation, here is the Point-Slope Form:

[tex](y -y_{1}) =m(x-x_{1})[/tex]

again, m is our slope.

[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).

Let's plug in the y, x, and m values:

(y-(-7))=5/6(x-(-6))

Simplify:

(y+7)=5/6(x+6)

That is our final answer.

Answer:

6x[tex]x^{2}[/tex] + 41x + 48

Step-by-step explanation:

Answer:

10m and 45m

Step-by-step explanation:

Just did it

Answer:

I think it's Axial Symmetry.

Step-by-step explanation:

Answer:

True for all N

Step-by-step explanation:

Answer:

True for all N :)

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

Step 1:

30 = - 5 ( 6n + 6 )        Equation

Step 2:

30 = - 30n - 30      Multiply

Step 3:

60 = - 30n      Add 30 on both sides

Step 4:

n = 60 ÷ - 30    Divide

Answer:

n = - 2

Hope This Helps :)

Answer:

yes

Step-by-step explanation:

yes

Answer:

one to one function

Step-by-step explanation:

Answer:

25.5

Step-by-step explanation:

Answer:

The answer is $25.50 for 18 pounds of potatoes.

Hope this helps.

Please mark me as Brainliest if i am correct.

Answer: B is the only true statement.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Slope intercept form equation is y=mx+b

M=Slope

Slope equation is y2-y1 over x2-x1

So -16 - 47 over 2- (-4)

-63 over 6

Divide by 3 to simplify

= -21 over 2

Keep that as your answer for slope because a mixed number can't be used for slope but an improper fraction is perfectly fine

To find b use one point given (I chose to use (2, -16)

Plug that in and your slope to find b

-16= -21/2 (2) +b

-16= -21+b

+21 +21

5=b

Now plug that in and youre done

Y= -21/2x + 5

Answer:

hi

Step-by-step explanation:

hey bestie

Answer:

1,280 cubic meters

Step-by-step explanation:

Length x Width x Height = Volume

The box on the left:

8m x 5m x 22m = 800[tex]m^{3}[/tex]

Box on the right:

12m x 5m x 8m = 480[tex]m^{3}[/tex]

Add them:

800[tex]m^{3}[/tex] + 480[tex]m^{3}[/tex] = 1,280[tex]m^{3}[/tex]

The volume of the figure is 1,280 cubic meters

Answer:

169

Step-by-step explanation:

i hope this helps

Answer:

398

Step-by-step explanation:

100%-76%= 24% which should be the 96 percent that chose purple

94÷24%= 3.91(4 because it's rounded) students per percentage

4×76%=304 that chose blue if rounded

94+304=398 total

Answer:

6) 4 , 7) 35

Step-by-step explanation:

Answer:

x = 8 and x = 7

Step-by-step explanation:

(6)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{ST}{MN}[/tex] = [tex]\frac{RS}{LM}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{4}{2}[/tex] ( cross- multiply )

2x = 16 ( divide both sides by 2 )

x = 8

(7)

Since the prisms are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{x}{35}[/tex] = [tex]\frac{2}{10}[/tex] ( cross- multiply )

10x = 70 ( divide both sides by 10 )

x = 7

Answer:

208

Step-by-step explanation:

Answer:

Prices of the two stocks A and B become​ same in 42 hours

Step-by-step explanation:

Let t denotes number of hours in which the prices of the two stocks A and B become​ same.

Price of stock A = $15.59

Increase in price per hour = $0.12 t

Price of stock B = $16.34

Decrease in price per hour = $0.11 (t - 3)

(since price of stock A starts increasing per hour after 9 A.M. and price of stock B starts decreasing per hour after 12 noon that is 3 hours after 9 A.M.)

To find number of hours in which the prices of the two stocks A and B become​ same, solve [tex]15.59+0.12t=16.34+0.11(t-3)[/tex]

[tex]15.59+0.12t=16.34+0.11(t-3)\\15.59+0.12t=16.34+0.11t-0.33\\0.12t-0.11t=16.34-0.33-15.59\\0.01t=0.42\\t=42[/tex]

So, prices of the two stocks A and B become​ same in 42 hours