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# Tutor profile: Carlos H.

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Carlos H.
Future math teacher
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## Questions

### Subject:Geometry

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Question:

Find the equation of a circle that has its center on \$\$ (2, -4) \$\$ and has a radius of 7.

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Carlos H.

\$\$ (x-2)^2 + (y+4)^2 = 49 \$\$

### Subject:Calculus

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Question:

The height of a football in feet \$\$ t \$\$ seconds after it is thrown can be modeled by the equation \$\$ f(t) = -x^2 + 5x + 6.4 \$\$ After how many seconds does the football reach its max height? What is that max height?

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Carlos H.

To find the point where the football's height goes from increasing to decreasing, we can use the derivative. \$\$ f'(t) = -2t + 5 \$\$ \$\$ 0 = -2t +5 \$\$ \$\$ t = 5/2 \$\$ After 2.5 seconds, the football reaches its max height, which can be calculated by plugging 2.5 back into the original equation. \$\$ f(2.5) = 12.65 \$\$

### Subject:Algebra

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Question:

Jenny has a phone plan that starts at \$10 per month but also charges her \$0.05 for each call he makes. Her parents would like her to keep her monthly total below \$15 a month. How many calls a month can Jenny make while staying within budget?

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Carlos H.

If "m" is how much her monthly bill will cost and "c" for number of calls, we can express this problem as a function: \$\$ m = 0.05c + 10 \$\$ If her parents wants the monthly cost to stay below \$15, we would solve the inequality \$\$ 15 > 0.05c + 10 \$\$ \$\$ 5 > 0.05c \$\$ \$\$ 100 > c \$\$ Jenny can make up to 100 calls before she goes over budget!

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