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NNADVOKAT [17]
3 years ago
15

Your cell phone plan costs $39.99 per month plus $0.11 for each text message you send or receive. You have at most $45 to spend

on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? The maximum number of text messages is nothing.
Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

<h2>The maximum number of text messages is 372.8</h2>

Step-by-step explanation:

Given that the monthly cost is  $39.99

and also $0.11 for each text (sent or recieved)

let y be the total cost

let x be the number of text

the model for the total cost is given as

y=3.99+0.11x

given that y=45

45=3.99+0.11x

45-3.99=0.11x

41.01=0.11x

divide both sides by 0.11

x=41.01/0.11

x=372.8

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If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?
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Solve the inequality 171&gt;-6x and graph the solution what does the graph look like
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3 years ago
For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

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Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

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$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

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