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Lera25 [3.4K]
3 years ago
15

A boat operator wants to offer tours of San Francisco Bay. His profit P for a trip can be modeled by P(x) = −2x^2 + 120x − 788,

where x is the cost per ticket. What range of ticket prices will generate a profit of at least $500?

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Answer:

14 to 46 tickets

Step-by-step explanation:

Step 1: Set up the equation

500 ≤ -2x² + 120x - 788

Step 2: Solve for <em>x</em>

0 ≤ -2x² + 120x - 1288

0 ≤ -2(x² - 60x + 644)

0 ≤ x² - 60x + 644

0 ≤ (x - 46)(x - 14)

14 ≤ x ≤ 46

Alternatively, we can graph the equation and determine the range by looking for where y = 500

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Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.

The pot will not fit into the plant pot holder.

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You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

8 0
2 years ago
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alina1380 [7]

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Step-by-step explanation:

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5 0
3 years ago
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Mademuasel [1]

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Step-by-step explanation:

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A commercial airplane that is 1,500 miles into a 2,500-mile journey is traveling at 450 knots in still air when it picks up a ta
Alina [70]

The equation that best describes the situation is A. 1,500 + 690h = 2,500

<h3 /><h3>Speed of plane after tailwind</h3>

Since the plane has already covered 1500 miles, and the plane travelling at 450 knots in still air picks up at tailwind of 150 knots in the same direction, the resultant velocity, V of the plane = speed of plane in still air + speed of wind

= 450 knots + 150 knots

= 600 knots

= 600 × 1 knot

= 600 × 1.15 mph

= 690 mph.

<h3 /><h3>Distance of plane after tailwind</h3>

If h is the number of hours after picking up the tail wind, the distance moved by the airplane is thus D = 1500 + 690h

<h3 /><h3>Required equation</h3>

Since D = 2500 miles, we have

1500 + 690h = 2500.

So, the equation that best describes the situation is A. 1,500 + 690h = 2,500

Learn more about simple equations here:

brainly.com/question/7187454

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3 years ago
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Answer:

The answer is the last option.

Step-by-step explanation:

8 0
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