which of the following pairs of functions are inverses of each. a) f(x)=18/x and g(x)=18/x+9

Answer:

35 pages

Step-by-step explanation:

5-3=2

14÷2=7 sets

Hence, no. of pages Aiden read=5×7

=35 pages

Now

[tex]\\ \sf\longmapsto 5:3=x+14:x[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{3}=\dfrac{x+14}{x}[/tex]

[tex]\\ \sf\longmapsto 5x=3(x+14)[/tex]

[tex]\\ \sf\longmapsto 5x=3x+42[/tex]

[tex]\\ \sf\longmapsto 5x-3x=42[/tex]

[tex]\\ \sf\longmapsto 2x=42[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{42}{2}[/tex]

[tex]\\ \sf\longmapsto x=21[/tex]

[tex]\\ \sf\longmapsto x+14=21+14=35[/tex]

Answer: for part B = 732 seconds or 12.2 minutes

Step-by-step explanation: 36 seconds times the amount of small photos 12 = 432 plus 60 seconds times the amount of large 5 photos = 300 , 432 plus 300 equals 732 seconds

(36 x 12) + (60 x 5) = 732

Answer:

[tex]( - 5k {}^{3} - 6k + 1) + ( - 6k {}^{2} + 5k) \\ - 5k {}^{3} - 6k + 1 + (6k ^{2} + 5k) \\ - 5k {}^{3} - 6k + 1 + 6k {}^{2} + 5k \\ - 5k {}^{3} + 6k {}^{2} - 6k + 5k + 1 \\ 1k {}^{5} - 1k + 1 \\ (1k \times 1k \times 1k \times 1k \times 1k) - 1k + 1 \\ 5k - 1k + 1 \\ 4k + 1 \: \: anawer[/tex]

Step-by-step explanation:

Answer:

It would be A) 2 1/2

Step-by-step explanation:

Just looking at this problem because it doesn't say that there is any to begin with so it just would be 2 1/2

9514 1404 393

Answer:

  your answer is correct

Step-by-step explanation:

It seems possible that the intent is for division by -3, which would give the result ...

  5 > 2

If you are asked to divide by 3, your answer is correct:

  -5 < -2

[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]

[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]

Answer:

A) Job A pays more.

B) $784 dollars more than job B.

Step-by-step explanation:

We know that job B Makes $16,400 per year. We just need to find out how much job A makes in a year.

Job A: 8.95 x 40= $358 in a week.

We know that there is 4 weeks in a month and 12 months in a year.

12 x 4 = 48.

48 weeks in a year x $358 in a week= $17,184

We now know that job A pays more than iob B.

In order to find out how much more we will use the formula Job A- Job B= Difference between.

$17,184-$16,400= $784

Job A pays $784 dollars more than job B.

Answer:

1) $2.6

2) $9.9

Step-by-step explanation:

for the first one, you first add $1 with 1$ and you would get 2 and then you do 55 cents plus 5 cents which would get 60 cents and then you get $2.60.

For the second one, you multiply 2.60 by 3 and you get $7.80 and you still have $2.10 left so you add that to $7.80 then you get $9.9

Answer:

56 sodas

Step-by-step explanation:

3 pepsi: 4 coke so to get 24 pepsi: x coke you'd have to multiply the ratio by 8 --> this leads you to 24 pepsi: 32 coke

Add pepsi value and coke value to get total number of sodas:

24 + 32 = 56

Answer:

ten times time

Step-by-step explanation:

ten time ten or ten multiple by ten

give brainliest please I need it to level up

Answer:

Ten times Ten or ten over ten

Answer:

Below

Step-by-step explanation:

To find Ken's leftover amount of money, all you need to do is subtract what he spent from his initial amount :

     $30 - $5 - $6.50 - $7.21 = $11.29

So, Ken has $11.29 left after he goes to the fair

Hope this helps! Best of luck <3

Answer:

1           1/12

1           11/12

Step-by-step explanation:

Cross multiply 3/4 and 1/3 which gives you 9/12 and 4/12

Add them together 9/12 + 4/12 = 13/12

Reduce 13/12

1 1/12

So she needs 1 11/12 more

Answer:

17

Step-by-step explanation:

BC=CD=EF=FA=2

AB=DE=4.5

Draw 4 by 2 boxes in 1cm, and measure it diagonally it will measure 4.5 if each square has the same length

Answer:

:P

Step-by-step explanation:

Hi there!

(z)

We know that the two segments with "z" are congruent, so:

z + 15 = 5z + 9

Solve for z:

15 = 4z + 9

6 = 4z

z = 3/2

(y)

We know that (7y + 6) = 90° (indicated by the square angle), so:

7y + 6 = 90

7y = 84

y = 12°

(x)

Segments (x + 26) and (3x - 8) are congruent, so:

x + 26 = 3x - 8

26 = 2x - 8

34 = 2x

x = 17

Answer:

Below

Step-by-step explanation:

First we combine your first set of terms,

7b^2 + 2b^2 = 9b^2

There's a subtraction hidden in there!

9b^2 - 3b^2 = 6b^2

Next we do the same thing for the second term,

3b + 7b = 10b

but there's a subtraction in the expression!

10b - b = 9b

Then we finish with our third term

6 + 5 = 11

Answer:

6b^2 + 9b + 11

Answer:

Area =

[tex]\pi {r}^{2} [/tex]

=3.14×1.5^2

=3.14×2.25

=7.065

Hence the area of circle is 7.065.

Answer:

See Explanation

Step-by-step explanation:

[tex]log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved[/tex]

Answer:

35

Step-by-step explanation:

7b

7(5)

35

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\frak{7b}}}\\\huge\boxed{\rightarrow{\frak{7(5)}}}\\\huge\boxed{\rightarrow\frak{35}}}\\\huge\boxed{\frak{Answer: 35}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

ok good  Step 1

Write your problem.

537.95 x 9.5% = ?

Step 2

Convert the % to a decimal:

9.5% to 0.095

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

537.95 x 0.095 = 51.11

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

537.95 + 51.11 = $589.06 (total cost)

Step-by-step explanation:

Answer:

The GCF of 36 and 80 is 4.

Step-by-step explanation:

Answer:

9 minutes

Step-by-step explanation:

We can write a proportion to solve

5 gallons     15 gallons

-------------- = ---------------

3 minutes         x minutes

Using cross products

5x = 3*15

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

5/9

Step-by-step explanation:

Answer:

6 to the left 4 down (-6,-4)

Answer:

Distance between both points is 20units.

Applying the Distance between Points Formula

d= √(y₂-y₁)²+(x₂-x₁)²

x₁= 5 y₁=–2

x₂= ? y₂= ?

20 = √ [y -(-2)]² + (x - 5)²

Taking the square of both sides to eliminate the square root on the right.

20² = ( y + 2)² + (x - 5)²

400 = y² + 4y + 4 + x² – 10x + 25.

400 = x² + y² – 10x + 4y + 29.

x² + y² – 10x + 4y = 400 – 29

x² + y² – 10x + 4y = 371--------------eqn 1.

We called that eqn 1 cause we need another equation to solve this.

To solve an Equation with 2 variables... You need 2 equation.

To solve that of 3 variables.... you need 3 equations(Basic Math Rules).

We're dealing with 2 variables in this case(x, y).

Now

We'd need to think in order to create another equation that'll satisfy the distance or point.

We know that the distance between both Points(known and unknown) is 20.

Half that distance is 10.

The distance of 10 will occur at the center of these 2 points.

So lets apply the formula for Mid point to get the coordinate of the center.

Midpoint

let p be the x position and q be the y position of the midpoint

p = (x₁ + x₂)/2. q = (y₁ + y₂)/2

Starting from the know point (5 , -2)

x₁=5 y₁=–2

p = (5 + x)/2. q = (–2 + y)/2

p = (x + 5)/2 q = (y–2)/2.

This is the coordinate of the Midpoint.

Now We know that the distance between (5, -2) and [(x + 5)/2 , (y–2)/2] is 10(midpoint).

Applying the distance between points again.

d = √(y₂ - y₁)² + (x₂ - x₁)²

x₁= 5 y₁= -2

x₂= (x + 5)/2 y₂= (y–2)/2

10 = √[(y–2)/2 -(-2)]² + [ (x+5)/2 – 5)]²

10 = √[(y–2)/2 + 2]² + [(x+5)/2 – 5)]²

Squaring both sides to remove square root on the right and also Taking the LCM in each bracket

We have

10² = [ (y + 2)/2]² + [ (x–5)/2]²

Distributing the "2" on the denominator to each individual number in the parentheses.

100 = (y/2 + 1)² + (x/2 – 5/2)²

100 = y²/4 + y + 1 + x²/4 –5x/2 + 25/4.

Multiply through by 4 to clear fractions.

400 = y² + 4y + 4 + x² – 10x + 25

Rearranging

x² + y² – 10x + 4y = 371.

Hmm...

Equation 1 and 2 Are the Same.

Something is Wrong!

Pls Recheck the Question

I do believe that One value of the unknown point should be given.

I maybe be wrong somewhere else too.

Pls correct in the comment section if you spot it.

the points that are 20 units away from (5,-2)​ will be (25, -2), (-20, -2), (5, 18), (5, -22), and so on.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given the coordinates of the point (5,-2)​.

Technically 20 units away from the given coordinates will make a circle with a radius of 20 units and the center with (5, -2).

Any point that lies on the perimeter of the circle will be our point

for easy understanding add or subtract 20 from either x or y coordinates of the points.

We will get our desired coordinates for instance:

(25, -2), (-20, -2), (5, 18), (5, -22), and so on,

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

Answer:

-1.6

Step-by-step explanation:

Since they're both negative and you're adding, you would do the same if you added normally, but you would add a negative sign.

Answer:

-2.6

Step-by-step explanation:

-1.4 + (-1.2)

-1.4 - 1.2

-(1.4+1.2)

-2.6

Remember that adding a negative is the same as subtracting a positive.

Answer:

-36x^12

Step-by-step explanation:

-6 times 6 is -36

x^8 times x^4 is x^12

so the answer is

-36x^12

Hope this helps!

Answer:

the GCF of 10 and 21 is 1

Step-by-step explanation:

Answer:

The answer is c = 2 + 3d .

Step-by-step explanation:

It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :

Let c be the cost,

Let d be the distance,

c = 2 + 3d