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kicyunya [14]
3 years ago
15

Name three things that can be easily identified by the equation of a parabola in vertex form

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0
Golden Gate Bridge, Mountains, Roller Coaster
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A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair ut
miskamm [114]

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

<em>Max = 6S + 5C</em>

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How do you know if the graph will be dotted or solid when graphing linear inequalities?
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Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

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Use the Distributive Property to factor the polynomial.
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<span>30v + 50x = 10(3v + 5x) (Answer A)

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Answer:

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Step-by-step explanation:

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y - (-4) = 1/3 (x - 3)

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