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makvit [3.9K]
1 year ago
12

I need to know the answer

Mathematics
1 answer:
grandymaker [24]1 year ago
3 0

Answer: f(x)=-(x-5)^{2}(x+2)

Step-by-step explanation:

There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form f(x)=a(x-5)^{2}(x+2) for some constant a.

To find a, we can substitute the coordinates of the y-intercept, (0, -50).

-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1

So, f(x)=-(x-5)^{2}(x+2)

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Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
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(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


8 0
3 years ago
A line goes through the points (-6, -8) and (12, 7).
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4 0
3 years ago
Volume? Correct answers please
goldfiish [28.3K]

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!

<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π 7^{2} (9)

<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>

<em />

V = 1385.44

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

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7 0
3 years ago
Lidentify the domain of the function shown in the graph
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Answer:

B.

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the visible line is the defined function.

this line goes from x=1 to x=4, and has the functional results from y=1 to y=7.

the domain is the valid interval of the input variable (typically x), while the range is the valid inescapable of the result variable (typically y).

so, B is the right answer.

3 0
3 years ago
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using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.

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-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6
7 0
3 years ago
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