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Mariana [72]
3 years ago
8

Which of the following rational functions is graphed below?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

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Avaluate 2^3x-1 for x=1
DENIUS [597]

<em><u>Answer:</u></em>

4 or 7 (Check the explanation to see which one your equation <em>actually</em> is.

<em><u>Step-by-step explanation:</u></em>

One thing I want to clarify for you, It's Evaluate, not Avaluate.

Okay so, we want to find the value of 2^3x-1 and we know x = 1.

You didn't really clarify if the expression was 2^{3x-1} or 2^{3x}-1, so I'll be doing both:

For 2^{3x-1}, we should plug in x to get 2^{3(1)-1} and then simplify to get 2^{2}.

2 to the power of 2 or 2^{2} is equal to 2 * 2 or 4.

The second one, 2^{3x}-1, we should plug in x to get 2^{3(1)}-1 and then to become 2^{3}-1. 2 to the power of 3 or 2^{3} is 8 and then minus 1 is 7.

7 0
3 years ago
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Zach is 4 years older than twice his sister Maya’s age.
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I hope this helps you

3 0
2 years ago
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Indicate whether the measures 4.35, 5.8, and 7.25 can me the side lengths of a triangle. If they can classify the triangle as ei
Assoli18 [71]

Answer:

Obtuse

Step-by-step explanation:

3 0
2 years ago
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A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40
SpyIntel [72]
The mean of the probability distribution is given by the expected value given by

E(x)=\sum xp(x) \\  \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\  \\ =0.40+0.10+0.06=0.56

The variance of the probability distribution is given by

Var(x)=(x-\bar{x})^2p(x) \\  \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\  \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\  \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\  \\ =0.166208+0.07744+0.10368+0.119072=0.4664

The standard deviation is given by

\sigma(x)=\sqrt{Var(x)} \\  \\ =\sqrt{0.4664}=0.683
5 0
2 years ago
At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
Vanyuwa [196]

Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

<u>Then at Silver Gym Sarah would spend:</u>

  • 35 + 30x

<u>And at Fit Factor she would spend:</u>

  • 85 + 20x

<u>Since total costs are same, the amounts will be equal:</u>

  • 35+30x = 85 + 20x
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So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

3 0
2 years ago
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