A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

Answer:

Quadratic

Step-by-step explanation:

The type of quadratic function in the question is in vertex form.

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

The above quadrilateral is a square because of the marking shown for the equilaterality of sides.

We have,

We need to find:

Solution:

x is the side of the square and y is the diagonal. Hence,

[tex] \large{ \boxed{ \sf{x = 13}}}[/tex]

And for finding the diagonal which can use the Pythagoras theoram where the leg sides (p and b) are the sides of the triangle. Hence,

➝ y = √13² + 13²

➝ y = √338.

[tex] \large{ \boxed{ \sf{y = 13 \sqrt{2} }}}[/tex]

The correct option is Option (D)

☃️[tex] \large{ \purple{ \bf{FadedElla}}}[/tex]

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Answer:

24 look it up on Google and your welcome I hope I'm right good day

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

Answer:

4 paintings in a full hour

Work:

Carly painted 6/7 of a picture in 3/14 hours:

6/7=3/14

Which means Carly painted 2/7 of a picture in 1/14 hours:

2/7=1/14

We need to find how many paintings she can paint in 1 full hour, or 14/14 of an hour, how do you get from 1/14 to 14/14? You do multiplication:

1/14 x 14 = 14/14

but there is a rule that says what you do to one side of the equation, you need to do it to the other side too so:

2/7 x 14=1/14 x 14

28/7=14/14

28/7=4  

Answer:

36

Step-by-step explanation:

(r∘q)(2)=

= ((3x)^2(2)

=(3*2)^2

=6^2

=36

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

Answer:

600?

Step-by-step explanation:

you do 2400÷4 which would be 600 for each hour

Answer:

you just add 35 to her bill

1) x ≤ 30

2) 5x + 2x ≥ 14

3) xy ≤ 4

4) y - 5 < 20

Step-by-step explanation:

please mark me as brainlest

9514 1404 393

Answer:

  d.  2

Step-by-step explanation:

The point-slope form of the equation for the line can make use of the given slope and point:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)

Filling in the unknown point values, we have ...

  4 -3 = 1/4(r +2)

  4 = r + 2

  2 = r

_____

Alternate solution

The way the question is worded, you seem to be expected to use the slope formula.

  m = (y2 -y1)/(x2 -x1)

For the given points and slope, you have ...

  1/4 = (3 -4)/(-2 -r)

  -2 -r = 4(-1) . . . cross multiply

  2 = r . . . . . . . . add r+4 to both sides

You are not dumb. No one is dumb. Einstein failed math in high school.

Anna is x years old.

Jane is y years younger.

This means the Jane is x - y years old.

In three years, Anna will be x + 3 years old.

In three years, Jane will be (x - y) + 3 years old.

Let S = the sum of their ages in 3 years.

S = x + 3 + (x - y) + 3

S = 2x + 6 - y

Got it?

Answer:

-2/5 or -0.40

Step-by-step explanation:

Answer:0.4

Step-by-step explanation:

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[tex]( {x - 5})^{2} + 2 \times ( x - 5 ) \times ( {y}^{3} ) + ({ {y}^{3} })^{2} = \\ [/tex]

[tex]( \: {(x - 5) + {y}^{3} } \: )^{2} [/tex]

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Answer:

1/2d+c^2-b = 21

Step-by-st ep explanation:

= 1/2(10) + 5^2 -9

= 5 + 25 - 9

= 30 - 9

= 21

Answer:

Divide both sides by the numeric factor on the left side, then solve.

Exact Form:

x=−7/2

Decimal Form:

x=−3.5

Mixed Number Form:

x=−3 1/2

Step-by-step explanation:

Answer:

- 3.5

Step-by-step explanation:

hope this helps :)

Answer:

4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

Answer:

No Solution

Step-by-step explanation:

Answer:

pretty sure its

0.466666

Step-by-step explanation:

Answer:

no because if you insert 11 as h you get the inequality 2>11 wich isnt true

Step-by-step explanation:

Answer:

A)Two times the quantity of seven less than a number equals thirty-three

The ratio of the weight of the quarters to the number of quarters will be 11: 2

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

Learn more about ratios here:

brainly.com/question/186659

#SPJ1

Answer:

5 3/4 gallons of fuel left in the tank

Step-by-step explanation

16 1/2 - 7 1/4 = 9 3/4

9 3/4 - 3 1/2 = 5 3/4

Answer:5 h 48 min

Step-by-step explanation:

t/8+t/12=1

=> 3t+2t =24

5t=24

t=24/5

t=5 and 4/5 h

That equal to 5 h and 8/10 h or 5h and 8*6 min

So the answer is 5 h 48 min