Answer: 53.1441%
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Explanation:
Assuming each event is independent of one another, the probability of catching the tennis ball three times in a row is
(0.81)^3 = (0.81)*(0.81)*(0.81) = 0.531441
This converts to 53.1441%
17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = <span>±4i
</span>
18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i
19)
x² + 3 = 0
x² = -3
x = ±√-3
x = <span>±</span>√3i
hope this helps, God bless!
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
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<em>Additional comment</em>
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Answer:
None of the answers are correct.
Step-by-step explanation:
Maria's answer is incorrect:
1. "-1" is the y-intercept. 3x/4 is your rise/run.
2. Start from -1 on the y-axis.
3. Go up 3 units above, then 4 units to the right.
<u>4. This leads up to being not on the line.</u>
<u></u>
Peter's answer is incorrect:
1. "-1" is the y-intercept. -4x/3 is your rise/run.
2. Start from -1 on the y-axis.
3. Go down 4 units below, then 3 units to the right.
<u>4. This leads up to being not on the line.</u>
Answer:
$8.82
Step-by-step explanation:
$70.56÷8 =$8.82 total