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2 years ago

1. f(x) = 5x 2. g(x) = 54 What are the ranges for these functions

Mathematics

1 answer:

STatiana [176]2 years ago

4 0

Answer:

For 1: y is all real numbers. For 2, y=54.

Step-by-step explanation:

1: Since the graph is linear and infinite, there will be at least 1 y value that corresponds with any x value.

2: Since range measures only the y values, and since g(x)=54 is a straight line, it only has a value of y=54 for any values of x.

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Angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4

kvasek [131]

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Answer:

∠4 = 45°

Step-by-step explanation:

Angles 1, 2, and 4 are all congruent.

∠4 = ∠2

x +30 = 2x +15

15 = x . . . . . . . . . . . . . subtract x+15

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Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t

Alina [70]

Answer:

~ $150=50e^{-0.01()20}$

~ $p(100)=\$127.7$

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week $P_{20}=\$150$

Marginal price-demand function $p'(x)=-0.5e-0.01x$

Generally the The Marginal price function is mathematically given by

$p'(x)=-0.5e^{-0.01x}$

$p(x)=\int-0.5e^{-0.01x}$

$p(x)=50e^{-0.001x}+C$

Therefore the equation when the demand is 20 TVs per week at $150 per TV

$150=50e^{-0.01()20}$

Giving

$p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}$

Therefore the Price when the demand is 100 TVs per week

$p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}$

$p(100)=\$127.7$

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