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kakasveta [241]
3 years ago
10

Find a cubic function with the given zeros. -6, 7, -4

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0
f(x)=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-6;\ x_2=7;\ x_3=-4\\\\f(x)=(x+6)(x-7)(x+4)=(x^2-x-42)(x+4)\\\\=x^3+3x^2-46x-168
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A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

H=-4.9t^2+5t+2

The ball will hit the ground when h=0

-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}

3 0
2 years ago
In 2015 Michael purchased a stock for $45.80 a share. During the year he received $1.71 per share in cash dividends. At the end
timama [110]
Michael's initial investment is $45.80, the cost of the share. 
Michael Receives $1.71 in dividends.
He receives $47.50 for the stock when he sells it.
His profit on the sale of the stock is $47.50 - 45.80 = $1.70.
His total return on the stock is his total earnings, the dividends plus his profits on the sale of the stock, divided on what he paid initially, $45.80:
(1.71 + 1.70) ÷ 45.80 = .0744 = 7.45%
7.45% return on investment in less than a year, not bad!
Closest answer is 7.7%, not sure why it isn't exactly 7.45 or 7.5%. 

Answer is B) 7.7%
7 0
3 years ago
Log<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%2027" id="TexFormula1" title=" \frac{1}{3} 27" alt=" \frac{1}{
forsale [732]
Hi, I'd be glad to help you with this equation!

The answer is (9) 

Hope this helps. 
Have a great day!
6 0
2 years ago
Are these a function?​
Molodets [167]

Answer:

yes........these all are....

8 0
3 years ago
Read 2 more answers
What is the answer to 2/4 ÷4 ? ​
AVprozaik [17]

Answer:

(2/4)/4 = 0.125 or 1/8

Hope this helps!

:)

4 0
2 years ago
Read 2 more answers
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