1. How has the cost of a movie ticket changed over the last 30 years? What has been the general trend? How can you tell this from the graph? (2 points)
2. What years did the cost of movie ticket decrease compared to the year before? How can you tell from the graph when the price is decreasing? (2 points)

Student Name:
Predicting Movie Ticket Costs Activity
3. There was a time where the cost of a movie ticket stayed relatively the same over several years. For what years did the cost stay relatively the same? How can you tell this from the graph? (2 points)
4. The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of change in the price of a ticket for each of these time periods? In other words, on average, by how much did the price of a ticket increase by each year during each of these time periods? (2 points)
5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on the grid and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)

Student Name:
Predicting Movie Ticket Costs Activity
7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since 1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y- intercept and equation that models your line of best fit. (2 points)
8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020 and 2030. Be sure to show how you came to each answer. (2 points)

Answer:

the student that is correct is Gene and the solution is x=10

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

We have,

From the model below,

The right-hand side:

This can be written as,

1 + 1 = 2 ______(1)

And,

The left-hand side:

This can be written as,

-x + 8 x (-1)

-x - 8

or

-8 - x ______(2)

Now,

From (1) and (2),

2 = -8 - x

Thus,

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

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#SPJ3

Step-by-step explanation:

using set notation

domain [-3,3]

range[-1,3]

Answer:

Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair

Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

Answer:

In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Thank you!!!!

9514 1404 393

Explanation:

The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.

This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.

__

The four theorems generally available for showing congruence of triangles are abbreviated ...

  SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important

These list the sides/angles that must be identified as corresponding congruent parts.

Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.

If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.

_____

Additional comment

In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.

The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.

Answer:

1/125(x^3)

Step-by-step explanation:

Let's simplify this expression.

Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].

Answer:

K=3r-s

K+s=3r

K/3+s/3=r

Step-by-step explanation:

k=3r-s

k+s=3r

k+s/3 = r

r = k+s/3

The amount she invested in each account is:

$6,000 invested at 11%

$6,000 invested at 6%

Let x represent the amount invested at 11%

Hence:

.11x+.06(8000-x)=780

.05x+480=780

Collect like terms

.05x=300

Divide both side by .05x

x=300/.05

x=$6,000

Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.

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1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

Answer:

(x, y) = (57/4, 31/4)

Step-by-step explanation:

-2x + 6y = 18

-2x = 18 - 6y

x = -9 + 3y

3(-9 + 3y) - 5y = 4

-27 + 9y - 5y = 4

4y = 31

y = 31/4

x = -9 + 3(31/4) = 57/4

Answer:

Step-by-step explanation:

-5y=4-3x

y=(4/-5)-(3/-5x)

2x+6y=18

6y=18-2x

y=18/6-(2/6x)

y=y

(4/-5)-(3/-5x)=18/6-(2/6x)

0.93x=3.8

x=3.8/0.93

x=4.09

sub 4.09 for the 3x-5y=4

which will give you y=1.65

sub 4.09 for -2x+6y=18

which will give you y=4.36

Answer:

if

A= 3

B= 4

C= 2

so

A x B - C

iis

3 x 4 - 2

=12 - 2

=10 ✓

Answer:

if

A= 3

B= 4

C= 2

so

A x B - C

iis

3 x 4 - 2

=12 - 2

=10 ✓

41

Step-by-step explanation:

3(8)+11+6=24+17=41

Answer:

B or D

Step-by-step explanation:

I believe the answer is B or D if it is not im am very sorry i forgot

Answer:Shreks smelly armpit

Step-by-step explanation:cause you wrote it??

Answer:

Shreks Smelly Armpits

Step-by-step explanation:

Question:

The Land of Duloc is having a smell test with the smeliest armpits to win. Donkeys armpits have a 7/98 stink level. Shrek has x14 smelleier armpits than donkey. Lord Farquade has the same smell level as shrek but x0. Whos armpit is the smelliest?

Solve:

Donkey: 7/98 SECOND PLACE

Shrek 7 x 14 = 98 = 98/98 FIRST PLACE

Lord Farquade: 98 x 0 = 0 THIRD PLACE

Answer: Shreks Smelly Armpits

Answer:

coordinate is 3rd or -;- coordinates

Answer:

Step-by-step explanation:

It is actually fairly simple; just multiple the percentage by the total students, 10.

Cat, Dog: 10% of 10 is 1.

Cat, No Dog: 30% of 10 is 3.

Cat Total: 1+3 = 4.

No Cat, Dog: 40% of 10 is 4.

No Cat, No Dog: 20% of 10 is 2.

No Cat Total: 4+2 = 6.

Dog Total: 4+1 = 5.

No Dog Total: 3+2 = 5.

Answer:

(0,4) and (5,-3)

Step-by-step explanation:

Answer:

Lol, I would like to answer the question tho...

(George Washington did not have a middle name.)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let P(x) is the function with zero's 2 and 4i.

It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.

The function has the shape of:

And we have P(0) = 22.08

Let's substitute and find the value of a:

The function is now:

P(x) = -0.69(x - 2)(x - 4i)(x + 4i)

      = -0.69(x - 4)(x² + 16)

      = -0.69(x³ - 4x² + 16x - 64)

      = -0.69x³ + 2.76x² - 11.04x + 44.16

Answer: depends if there like someone like me 550 but if there responable then probaly 50-80

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.

y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45

Answer:

Step-by-step explanation:

Is there a question to it?

The ball hits the ground at 0 seconds or 2.5 seconds.

h represents the height of the golf ball after x seconds. The height is given by:

h(x)=-4.8x(x-2.5)

h(x) = -4.8x² + 12x

The time taken for the ball to reach the ground is at h(x) = 0, hence:

0 = -4.8x² + 12x

4.8x² - 12x = 0

x(4.8x - 12) = 0

hence x = 0; or 4.8x - 12 = 0

x = 0; or x = 2.5

Therefore the ball hits the ground at 0 seconds or 2.5 seconds.

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Answer:

the total cost is $21

Step-by-step explanation:

Shelby:

3 bandanas, 1 comb

3 × 2 + 1× 1

6+1= 7

kendra:

2 bandanas, 4 combs

2×2 + 4×1

4+4

=8

Lucy

4 bandanas

4×2=

8

since she has a buy 1 get 1 half off coupon

she pays full price for 2 hence 2×2= 4

half price for 2 hence 2×1 = 2

thus 4+2=6

total price= 7+8+6

= 21 dollars

Answer:

b) m = 1/2

c) m = 3

d) m = 1/3

Step-by-step explanation:

b) rise = 1, run = 2; m = rise/run, so m = 1/2

c) rise = 3, run = 1; m = rise/run, so m = 3

d) rise = 1, run = 3; m = rise/run, so m = 1/3

Answer:

(-1, -4.5)

(-1.5, -2.5)

Step-by-step explanation:

To find the midpoint add the coordinates and divide by 2

19.( -8,-2) (6,-7)

((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)

20. ( 6,5) (-8,-10)

(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)

Answer:

19. (-1, -4.5)

20. (-1, -2.5)

Step-by-step explanation:

19.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-9}{2}[/tex]

Divide.

-1, -4.5

20.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-5}{2}[/tex]

Divide.

-1, -2.5