Six students decided to rent a limo for prom. There is a flat charge of $50 for the rental, on top of the $60 per hour rate. If the bill total was $410 then how many hours did they rent the limo for?

Solution:

As we know that f(x) = y

∴ y = f-1(x) ----------> (1)

Given f(x) = 4x

y = 4x

To find the inverse of the f(x), put y for all values of x and x for all values of y.

x = 4y

Divide both sides by 4.

x/4 = y

Using eq (1).

y = 1/ 4x or x / 4

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x

Summary:

The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Answer:

[tex]-\frac{17}{2}[/tex]

Step-by-step explanation:

Substitute the point (21,-4) in for [tex]x[/tex] and [tex]y[/tex] in the equation making

[tex]3(21)+B(-4)=97[/tex]

Simplify and solve

[tex]63-4B=97[/tex]

[tex]-4B=34[/tex]

[tex]B=-\frac{17}{2}[/tex]

Step-by-step explanation:

remember, we need to get to an expression of the form

y = ax + b

1.

x + 5y = 5

5y = -x + 5

y = (-1/5)x + 1

2.

3x + 2y = 4

2y = -3x + 4

y = (-3/2)x + 2

3.

2x + y = 4

y = -2x + 4

4.

4x - 2y = 6

2y = 4x - 6

y = 2x - 3

5.

8x - 4y = 16

4y = 8x - 16

y = 2x - 4

6.

3x + 4y = 4

4y = -3x + 4

y = (-3/4)x + 1

7.

9x - 4y = -16

4y = 9x + 16

y = (9/4)x + 4

8.

2x - 5y = 10

5y = 2x - 10

y = (2/5)x - 2

9.

3x + 5y = 10

5y = -3x + 10

y = (-3/5)x + 2

10.

7x - y = 4

y = 7x - 4

What to help

x=(-x+5)

Very easy

Answer:

23532.01

Step-by-step explanation:

21,589 x 1.09 = 23532.01

We add a 1 to 0.09 to make there fewer steps when doing it manually.

Answer:

$ 23,532.01

Step-by-step explanation:

21,589 x 0.09 = 1,943.01

21,589 + 1,943.01 = 23;532.01

Answer:

The Equation is in y=mx+b form.

m is 12 and b is 0

Plug in values for x and get coordinates.

At x = 1, y = 12

At x= 2, y = 24

At x = -1, y = -12

At x = -2, y = -24

And so on..

Answer:

They would need to wait almost 9 times to ride.

Step-by-step explanation:

252 divided by 30 equals 8.4.

Answer:

Use a fraction calculator because it will help you to explain their answer better

Answer:

125

Step-by-step explanation:

1. When you look closely enough, you can notice the pattern goes like 1^3, 2^3, 3^3, and 4^4.

2. Since we're looking for the value of the next term, or the 5th term, we have to cube the number 5.

Therefore, the next term is 125.

[tex](f + g)(x) = f(x) + g(x)[/tex]

[tex](f + g)(x) = |x| + 9 + ( - 6)[/tex]

[tex](f + g)(x) = |x| + 3[/tex]

If u graph this function u will realize that the range is :

[tex]y \geqslant 3[/tex]

Thus for all the values of x we have the y which is more than or equal to 3 which is telling us the First option is the correct one.

There u go.....

Have a great day ❤

Answer: A

Step-by-step explanation:

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

Let width = w

Length =2w

Perimeter = 90 inches

2*(length + width) = 90

2*(2w +w ) = 90

2* 3w = 90

6w = 90

  w = 90/6

 w = 15 units

length = 2*15 = 30 units

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

The size of the bag to buy is 5-lb bag for $6.20

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Frank can purchase bags of apples in four sizes.

To find the best size, checking for the price of bags per pound,

1) 2-lb bag for $3.33

so, for 1 pound = 3.33/2 = $1.665

2) 3-lb bag for $4.70

so, for 1 pound = $1.56

3) 4-lb bag for $5.14

so, for 1 pound = 5.14/4 = $1.285

4) 5-lb bag for $6.20

so, for 1 pound = 6.20/5 = $1.24

In all the four size, the 5 pound bag is cheapest.

Hence, The size of the bag to buy is 5-lb bag for $6.20

For more references on unit rates, click;

https://brainly.com/question/29781084

#SPJ2

Answer:

The dimensions of the Park is120m2

Answer:

A

Step-by-step explanation:

A quadratic is 'involving the second and no higher power of an unknown quantity or variable.'

Therefore, we can exclude b and d easily because both have a higher power of 2. 9x^(2) is not a binomial because it only has 1 term (i think its called a term) leaving A, x^2-16x as the only answer left.

Answer:

it's the third one!

Step-by-step explanation:

ur welcome :)

Answer:

Step-by-step explanation:

45–120

75–215

145–400

Step-by-step explanation:

This table shows the heights of three different rock formations that Jeremy is considering.

45-120

75-215

145-400

1: Statement about the equivalence of two formulas. 2: An expression that expresses a chemical reaction using a chemical symbol.

There are two types of equations, identities and constraint equations. The ID applies to all values ​​of the variable. Constraint equations apply only to specific values ​​of variables. The equations are described as two equations joined by an equal sign ("=").

To learn more about an equation, at

https://brainly.com/question/2972832

#SPJ2.

Answer:

d. 14% of increase

Step-by-step explanation:

0.32 to 0.37 = increase

0.37 - 0.32 = 0.05

What percentage is 0.05 of 0.37

X/100 = 0.05/0.37

(0.05 * 100)/0.37

X = 13.51 = 14%

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you have a rate, eg. The price is for every number of items, and the quantity in the denominator is not 1, you can calculate the price or the unit rate per unit by completing the division: the numerator divided by the denominator.

Answer:

the two figures are congruent and the same, just mirrored and rotated. If you count the units between points on both, they are the same

Step-by-step explanation:

Answer:

about 2000

Step-by-step explanation:

1536 rounded to the nearest hundred is 1500

480 rounded to the nearest hundred is 500

1500+500 is 2000

exact answer is 2016 and when rounded to nearest hundred it is 2000

Answer:

-3/2

Step-by-step explanation:

In the image

Answer:

opposite side interior angles

Step-by-step explanation:

9514 1404 393

Answer:

  -25

Step-by-step explanation:

Consult your memory of multiplication tables to determine the square root of 100.

  10×10 = 100

  √100 = 10

Then multiply that value by -2.5

  -2.5×10 = -25

___

Of course, you can use a calculator or spreadsheet to evaluate this expression, too.

Answer:

822,672

Step-by-step explanation:

(2045+2553-3022)\times 522

(2045+2553−3022)×522

(2045+2553-3022)522

1 Simplify  2045+2553 to 4598.

(4598-3022)times 522

(4598−3022)×522

2 Simplify  4598-3022 to1576.

1576 times 522

1576×522

3 Simplify.

822672

Answer:

[tex] \frac{ \frac{x + 2}{x - 1} }{ \frac{x - 3}{x - 1} } \\ = \frac{x + 2}{x - 1} \times \frac{x - 1}{x - 3} \\ = \frac{x + 2}{x - 3} \: when \: x \ne3[/tex]