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UNO [17]
3 years ago
7

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

uced?
A. h(x)=6(9)^(3x)

B. h(x)=6(3)^(2x^2)

C. h(x)=6(3)^(3x)

D. h(x)=6(6)^(2x^2)
Please show work!
Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

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Answer:

D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

 f(x) = g(x) for x = 0.5

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We can find the y-intercepts of the two functions to be ...

 f(0) = -3

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We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

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5 0
3 years ago
Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.
AleksandrR [38]

Answer:

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Step-by-step explanation:

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So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

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So probability that Caroline buy both CD and  fruit =1-0.48 = 0.52

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3 years ago
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