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yan [13]
3 years ago
6

Mr. Jamison, an art teacher, would like to purchase enough supplies to get the class stocked. He picks up 8 dozen sketch pencils

, 6 dozen colored pencils, and 3 dozen art gum erasers. If the sales tax rate is 8%, approximately what will his bill be?
Advanced Placement (AP)
2 answers:
MatroZZZ [7]3 years ago
7 0

Answer:

Answer is 48

Explanation:

padilas [110]3 years ago
4 0
His bill will be approximately 48:)
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Particle x moves along the positive x-axis so that its position at time t ~ 0 is given by x(t) = 5t 3 - 9t 2 + 7. at what time t
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Explanation:

$$At the farthest point the velocity of particle will be zero. \ Differentiating the given equation of position and equating it with zero:$$\begin{aligned}x(t) &=5 t^{3}-9 t^{2}+7 \\x^{\prime}(t) &=15 t^{2}-18 t \\0 &=15 t^{2}-18 t \\t(15 t-18) &=0 \\t &=0 \\t &=\frac{18}{15}=1.2 \mathrm{~s}\end{aligned}$$

$$Thus, at $t=1.2 \mathrm{~s}$ particle will be at the farthest point. \\\\\underline{Justification:}\\The particle moves towards the left from $t \in[0,1.2)$. After that particle keeps moving in  the positive x-direction.

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lana66690 [7]
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kirza4 [7]

Answer:

C. The graph is always positive.

Explanation:

To solve this, it is basically a process of elimination. A is true since the -9 indicates the function was translated down 9 units, making the vertex lie on the y-axis. B is also true because if you look at the equation from 0 to infinity, the y-values increase. D is also correct because when you solve for the zeros, they do end up being 3 and -3, making the only claim that is not true C, the graph is always positive.

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