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gogolik [260]
3 years ago
6

Write and equation in which the quadratic expression 2x^2 -2x -12 equals 0. Show the expression in factored form and explain wha

t your solutions mean for the equation. Show your work.
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
2x^2 - 2x - 12 = 0

a) The GCF is 2x

2(x^2 - x - 6) = 0

What multiplies to negative six and adds to negative 1?
Negative 3 and positive 2.

2(x-3)(x+2) = 0

Solutions:

3, -2
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Answer:

1= 1

2=11

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Step-by-step explanation:

subtract 6 from the input so

7-6=1

11-6=5 so input 11

13-6=7

7 0
3 years ago
Read 2 more answers
Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938&#10;

Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

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3 years ago
The game is used in a school to raise money for charity-
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Step-by-step explanation:

2222222222

3 0
3 years ago
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3 years ago
we choose a sample of size 100 from a population of monthly cable bills having standard deviation $20 If we assume the populatio
igor_vitrenko [27]

Answer:

0.0062

Step-by-step explanation:

Find the standard error.

σ = 20 / √100

σ = 2

Find the z-score.

z = (x − μ) / σ

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Find the probability.

P(Z > 2.5) = 1 − 0.9938

P(Z > 2.5) = 0.0062

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3 years ago
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