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Arte-miy333 [17]
3 years ago
14

A movie theater sends out a coupon for 25​% off the price of a ticket. Write an equation for the​ situation, where y is the pric

e of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation is y =__
​(Use integers or decimals for any numbers in the​ expression).
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

x-the original price

y- the discounted price

y= the original price - 25 % discounted from x  = x- (.25*x) = x( 1-.25) = .75x

equation is y= .75x

The equation should only be in the first quadrant because the prices can only be positive numbers.

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The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

6 0
3 years ago
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand
romanna [79]

Answer:

A

Step-by-step explanation:

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

So the answer is 1

That means, that 68% is the answer.

7 0
3 years ago
Read 2 more answers
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