Can someone help me with this ?!

If p(x)=x^2+x+1 and Q(x)=5x^2-1, find the following

1. Q(4)
2.p(-4)
3.p(1/2)

Answers

Answer 1

Answer:  1. 79

2.  13

3.  7/4

Step-by-step explanation:

Q(x)=5x^2-1

Q(4)=5(4)^2-1

      =5(16)-1

      =80-1

 Q(4) = 79

p(x)=x^2+x+1

p(-4)=(-4)^2+(-4)+1

      =16-4+1

 p(-4) =13

p(x)=x^2+x+1

p(1/2)=(1/2)^2+(1/2)+1

       =1/4+1/2+1

       2+4+8/9

        =14/8

p(1/2)    =  7/4


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Answers

Answer: [tex]\$2400[/tex]

Step-by-step explanation:

Given

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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EXPLANATION:

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Answers

Answer:

1. 6

2. 5

3. 3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

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Answers

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Answers

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Answer:

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Answers

Answer:

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The Slow Ball Challenge: There will be 9 pitches, each at 60 mph. Diego estimates that he will hit each individual pitch 95% of the time. If Diego can hit all 9 pitches, he will win a total of $45; otherwise he will lose $10. The Fast Ball Challenge: There will be 4 pitches, each at 90 mph. Diego estimates that he will hit each individual pitch 60% of the time. If Diego can hit all 4 pitches, he will win a total of $80; otherwise he will lose $20. Show Proof of which challenge he should play and why?

Answers

Answer:

He should play the Slow Ball Challenge

Step-by-step explanation:

The number of pitches = 9 pitches

The speed of the 9 pitches = 60 mph

The percentage of the time Diego estimates he can each pitch = 95%

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The amount he will loose = $10

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The number of pitches =  4 pitches

The speed of the 4 pitches = 90 mph

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P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

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P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025

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The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;

P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

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P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296

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The expected value ≈ -7.04.

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Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].

Answers

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]

Where:

[tex][a,b] = [1,3][/tex]

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[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

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[tex]f(3) = 6\\ f(1) = -2[/tex]

So:

[tex]m = \frac{6 - -2}{2}[/tex]

[tex]m = \frac{8}{2}[/tex]

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From the graph of g(x), we have:

[tex]g(3) = 4\\ g(1) = -2[/tex]

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[tex]m = \frac{g(3) - g(1)}{2}[/tex]

[tex]m = \frac{4 - -2}{2}[/tex]

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[tex]m =3[/tex]

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Then g(x) answers the question

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