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Helga [31]
3 years ago
6

A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee an

d also a per-second fee for the air time of each commercial. The cost can be modeled by the equation y = 250 + 100x, where x is seconds.
What is the slope, and what does it represent?


250; it represents the per-second fee of air time
250; it represents the one-time campaign fee
100; it represents the one-time campaign fee
100; it represents the per-second fee of air time
Mathematics
1 answer:
choli [55]3 years ago
4 0
250 represents the one time campaign fee because you only have to pay for it once 100 represents the cost per second
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Answer:

x=6

Step-by-step explanation:

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3 0
3 years ago
Prove the trigonometric identity
Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1

Lets solve the bottom most part first:

1-\frac{1}{1-sec^2x} \\\\

Take LCM

1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}

now break the LCM

\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1

because 1/tan = cot x

and furthermore,

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now we solve the above part and replace the bottom most part that we solved with cosec^2x

\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x

Hence proved! :D

4 0
3 years ago
A movie theater sold 800 tickets and made $4400 in one night. If an adult ticket costs $8 and a children's ticket costs $4, how
zhenek [66]
Let x = adult tickets
Let y = children's tickets

x + y = 800
8x + 4y = 4,400

From the first eq, x = 800 - y, plug this in to the second eq
8(800-y) + 4y = 4,400
6400 - 8y + 4y = 4,400
2000 = 4y
500 = y

x = 800 - 500
x = 300

300 adult tickets were sold.
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Step-by-step explanation:

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Step-by-step explanation:

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