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3 years ago

A store sells packages of pencils. Which package offers the best unit price?

2 answers:

5 0

You need to find the unit price of each choice.
To find the unit cost, divide each price by the number of pencils.
Then the best buy is the package with the lowest unit price.

<span>15 pencils for $4.05 ----> $0.27/pencil

12 pencils for $3.36 ----> $0.28/pencil

13 pencils for $3.25 ----> $0.25/pencil

16 pencils for $4.16 ----> $0.26/pencil

The best option is option C, 13 pencils for $3.25, which has a unit price of $0.25/pencil.
</span>

Rainbow [258]3 years ago

3 0

The correct answer for this question is c

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3 years ago

An object is launched vertically upward from a 25 foot platform and is modeled by the function s(t)=−16t2+11t+25.

ch4aika [34]

Correct option:

d. 1.64

<h2>Explanation:</h2>

An object is launched vertically upward from a 25 foot platform and is modeled by the following function:

$s(t)=-16t^2+11t+25$

So this is the equation of a parabola because the object is a projectile so it follows the Projectile Motion.

The object fall back to the ground when $s(t)=0$ so:

$-16t^2+11t+25=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ t_{12}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16 \\ \\ b=11 \\ \\ c=25 \\ \\ \\ t_{12}=\frac{-11\pm \sqrt{11^2-4(-16)(25)}}{2(-16)} \\ \\ t_{12}=\frac{-11\pm 41.48}{-32} \\ \\ t_{1}=\frac{-11+ 41.48}{-32}=-0.95s \\ \\ t_{2}=\frac{-11- 41.48}{-32}=1.64s$

Since time can't be negative, we only choose the positive value. therefore:

<em>The object fall back to the ground after 1.64 seconds</em>

<h2>Learn more:</h2>

Projectile motion: brainly.com/question/12554459

#LearnWithbrainly

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4 years ago