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Alecsey [184]
3 years ago
9

Which function has a horizontal asymptote of y = 3?

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0
The answer is D f(x)=2(4^x)+3
Alex_Xolod [135]3 years ago
4 0

All of the four functions are exponential functions of the form:f(x)=Pa^{x}+Q

Where,

  • P changes the parent function's, f(x)=a^{x}, slope (more steep or less steep)
  • Q shifts the parent function, f(x)=a^{x}, upwards if Q is positive and downwards if Q is negative.

The parent function looks like the first image attached. Note that the x-axis (y=0) is the horizontal asymptote.

Since question asked for a function with horizontal asymptote of y=3, we can shift the function 3 units above by changing Q to +3. The fourth option has an equation of an exponential that has Q value of +3. This is the correct choice.


ANSWER: f(x)=2(4^{x})+3

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2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
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Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
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Joe has 3 pounds of clay. He uses 3/4 pound to make a vase how much clay is left
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Find the lcd of the pair of expressions
STALIN [3.7K]

\frac{2}{7}  {x}^{10}  {y}^{4}  \: and \:  \frac{2}{14}  {x}^{8}  {y}^{7} \\ lcd = 14 {x}^{10}   {y}^{7}
Answer is
14 {x}^{10}  {y}^{7}

When it's powered numbers, remember to choose the one with the largest power. For example,
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And
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Choose 10, same goes to y, where you choose 7 not 4 since 7 is larger.

Hope this helps. - M
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Answer:

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7 0
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