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2 years ago

If 2/3 + p = 1 and 4/5+ q = 3, what is the value of p+q?

Mathematics

1 answer:

inessss [21]2 years ago

5 0

Answer:

p+q = 38/15

Step-by-step explanation:

2/3+p = 1. p = 1 - 2/3

4/5 + q = 3. q = 3 - 4/5

p + q = 1 - 2/3 + 3 - 4/5

-2/3 - 4/5 (common denominator = 15)

4 - 10/15 - 12/15 = 4 - 22/15

4 - 22/15 = (4*15 - 22)/15

= 38/15

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3 years ago

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2 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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3 years ago

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2 years ago

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IceJOKER [234]

Answer:

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2 years ago