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just olya [345]
3 years ago
13

JR - Parsons

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
Will answer in a few
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A stone is thrown vertically upward from a platform that is 20 feet height at a rate of 160 ft/sec. Use the quadratic function h
Nutka1998 [239]

Check the picture below.

\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+20} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\left(-\cfrac{ 160}{2(-16)}~~~~ ,~~~~ 20-\cfrac{ (160)^2}{4(-16)}\right) \implies \left( - \cfrac{ 160 }{ -32 }~~,~~20 - \cfrac{ 25600 }{ -64 } \right) \\\\\\ \left( 5 ~~~~ ,~~~~ 20 +400 \right)\implies (\stackrel{seconds}{5}~~,~~\stackrel{feet}{420})

6 0
1 year ago
Find f(g(-4)) and g(f(-4)) using the functions below.<br><br> f(x) = 2x + 7<br> g(x) = x2 + 3x - 1
daser333 [38]

Answer:

f(g(-4)) = 13.

g(f(-4)) = -3.

Step-by-step explanation:

g(-4) = (-4)^2 + 3(-4) - 1

= 3.

so f(g(-4))

= f(3)

= 2(3) + 7

= 13.

f(-4) =  2(-4) + 7

= -1.

so g (f(-4))

= g(-1)

= (-1)^2 - 3 - 1

= -3.

8 0
3 years ago
Find an integer $x$ such that $\frac{2}{3} &lt; \frac{x}{5} &lt; \frac{6}{7}$.
alexandr1967 [171]

Answer:

4

Step-by-step explanation:

It's AoPS question

5 0
3 years ago
Read 2 more answers
John makes a commission of 2% when he sells a house. How much will John make in commission if he sells a house for $300,000?
Anuta_ua [19.1K]

Answer: As a result of his company being able to sell a house of $300,000, John will earn a commission of $6,000.

When John sells a house, he gets a commission of 2% out of the selling price of that house.

If a house sells for $300,000 therefore, John will earn a commission of:

= Selling price of house x John's commission

= 300,000 x 2%

= $6,000

In conclusion, John will make a commission of $6,000.

Step-by-step explanation:

4 0
2 years ago
A device extracts no more than 37 liters of water per day from the air. How long does it take to collect at least 185 liters of
hjlf

Answer:

5

Step-by-step explanation:

A device extracts 37 liters of water per day

Therefore the number of days it will take to extract 185 liters can be calculated as follows

= 185/37

= 5

Hence it would take 5 days

5 0
3 years ago
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