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tester [92]
4 years ago
6

A juggler is performing her act using several balls. She throws the balls up at an initial height of 4 feet, with a speed of 15

feet per second. This can be represented by the function H(t) = −16t2 + 15t + 4. If the juggler doesn't catch one of the balls, about how long does it take the ball to hit the floor?
Mathematics
1 answer:
mestny [16]4 years ago
8 0
The correct answer is B) 1.15 seconds.
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Find a degree 3 polynomial having zeros -5, 1 and 5 and the coefficient of x^3 equal 1
mote1985 [20]

Answer:

x^3 -x^2 -25x +25

Step-by-step explanation:

\text{The roots are,}~ \alpha  = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25

7 0
2 years ago
2. Find the cosine function that is represented in the graph.
Diano4ka-milaya [45]

Answer:

f(x) = cos(x - \frac{\pi }{4} ) -1

Step-by-step explanation:

In this graph, we have the coordinate point (\frac{\pi }{4} , 0). Without translations, cos(0) = 0, which means that the graph is shifted to the right by \frac{\pi }{4}. We also know that the graph is shifted down by 1 because we have the point

(\frac{5\pi }{4} , -2), but accounting for the right shift, this point should really by (\pi , -2). cos(\pi) = -1, but on the graph it is -2, meaning that it is shifted down by 1.

Therefore, accounting for the right shift by \frac{\pi }{4} and the shift down by 1, our equation is f(x) = cos(x - \frac{pi}{4} ) - 1.

4 0
2 years ago
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Yuliya22 [10]

Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.

Step-by-step explanation:7=7x-9

5 0
3 years ago
Read 2 more answers
The radius of a circle is 7 millimeters. What is the circle's area?<br> r=7 mm<br> Use 3.14 for a.
givi [52]

Answer:

153.86

Step-by-step explanation:

formula - A = π × r2

3.14 x 7^2

= 153.86

4 0
3 years ago
Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain
adell [148]

Answer:

A

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

= (x - 8)(x² + x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis

= x³ + x² - x - 8x² - 8x + 8 ← collect like terms

= x³ - 7x² - 9x + 8 → A

There are no restrictions on the domain.

4 0
4 years ago
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