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Irina-Kira [14]
3 years ago
14

Laura sends an average of 27 text messages per month to each of f friends. Her cell phone provider charges her a flat rate of $3

.50 per month and $0.04 per text message. The function t(f) gives the total number of text messages Laura sends each month to f friends, and g(t) gives the amount Laura is charged by her cell phone provider for t text messages.
find t(f) and g(t)
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

t(f) = 27*f

g(t) = $0.04*27*f

without the value for f (the number of friends) that is the farthest this can be solved.

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Answer:

2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.

Step-by-step explanation:

The maximum point, or a point of the graph with the highest y-value, is at

(0.5, 7).

The minimum point, or a point of the graph with the lowest y-value, is at

(3.5, -5).

The point of inflection is where the graph begins to change direction. This is at (2, 1).

Therefore, the 2nd option is correct.

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4 years ago
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3 years ago
Can you help with this please.
andrew-mc [135]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>two </u><u>points </u><u>P </u><u>(</u><u> </u><u>5</u><u> </u><u>,</u><u> </u><u>1</u><u>0</u><u> </u><u>)</u><u> </u><u>and </u><u>R </u><u>(</u><u> </u><u>1</u><u>2</u><u> </u><u>,</u><u> </u><u>1</u><u>4</u><u> </u><u>)</u><u> </u><u>on </u><u>the </u><u>c</u><u>artesian </u><u>plane</u>

  • To find - <u>distance </u><u>between </u><u>the </u><u>two </u><u>points</u>

<u>Using </u><u>the </u><u>distance </u><u>formula</u> ~

\qquad\underline{d(PR) =  \sqrt{( x_{2}  -  x_{1}) {}^{2}  + ( y_{2} -  y_{1}) {}^{2}   }}  \\  \\

we have ,

\longrightarrow x_{1} = 5 \\ \longrightarrow x_{2} = 12 \\  \\  \longrightarrow \: y_{1} = 10 \\  \longrightarrow \: y_{2} = 14

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>,</u><u> </u><u>we </u><u>get</u>

d(PR) =  \sqrt{(12-5) {}^{2} + (14-10) {}^{2}  }  \\  \\ \implies \: d(PR) =  \sqrt{(7) {}^{2}  + ( 4) {}^{2} }  \\  \\ \implies \: d(PR) =  \sqrt{49 + 16}  \\  \\ \implies \: d(PR) =  \sqrt{65}  \\  \\ \implies \: d(PR) = 8.1 \: units \: (approx)

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Answer:

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3 0
2 years ago
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Remember the equation for the volume of a sphere:

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r^3 = \dfrac{32}{3} \cdot \dfrac{3}{4}

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Our answer is 4 in.

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