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Marrrta [24]
3 years ago
15

If f(x) - 4x2 - 3 and g(x) = x+1, find (f- g)(x).

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x). ... Given h(x) = sqrt(4x + 1), determine two functions f (x) and g(x) which, when composed, generate h(x).

Step-by-step explanation:

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Write an absolute value function that shifted 2<br> units right.<br><br> HELPPPP
iVinArrow [24]

Answer: (a)

Step-by-step explanation:

Suppose the original function is y=\left | x \right |

To shift it 2 units right, replace x by x-2 such that

\Rightarrow x-2=0\\\Rightarrow x=2

So, the function becomes y=\left | x -2\right |

4 0
3 years ago
The table below shows field goal statistics for three different kickers
FromTheMoon [43]

Answer:

<h2>From least to greatest: C, B and A</h2>

Step-by-step explanation:

To order each Kicker correctly, we have to find the success rate of each one, which is obtained by dividing and then multiplying by 100 to obtained the percentage:

R=\frac{made}{attempted}

<h3>Success rate of A:</h3>

R_{A}=\frac{12}{14}.100=86\%

<h3>Success rate of B:</h3>

R_{B}=\frac{15}{18}.100=83\%

<h3>Success rate of C:</h3>

R_{C}=\frac{19}{24}.100=79\%

So, comparing all three, from least to greatest we have:

C with 79%, then B with 83%, and A with 86%.

3 0
3 years ago
Read 2 more answers
Question Help Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a
koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

Z = \frac{X - \mu}{\sigma}

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So \mu = 5656, \sigma = 333.3

(a) What proportion of light bulbs will last more than 6262 ​hours?

The pvalue of the z-score of X = 6262 is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.

Z = \frac{X - \mu}{\sigma}

Z = \frac{6262 - 5656}{333.3}

Z = 1.82

Z = 1.81 has a pvalue of .96562. This means that 96.562% of the light bulbs are going to last less than 6262 hours. So

P = 100% - 96.562% = 3.438% of the light bulbs will last more than 6262 hours.

​(b) What proportion of light bulbs will last 5252 hours or​ less?

This is the pvalue of the zscore of X = 5252

Z = \frac{X - \mu}{\sigma}

Z = \frac{5252- 5656}{333.3}

Z = -1.21

Z = -1.21 has a pvalue of .1131. This means that 11.31% of the light bulbs will last 5252 hours or less.

(c) What proportion of light bulbs will last between 5858 and 6262 ​hours?

This is the pvalue of the zscore of X = 6262 subtracted by the pvalue of the zscore X = 5858

For X = 6262, we have that Z = 1.81 with a pvalue of .96562.

For X = 5858

Z = \frac{X - \mu}{\sigma}

Z = \frac{5858- 5656}{333.3}

Z = 0.61

Z = 0.61 has a pvalue of .72907.

So, the proportion of light bulbs that will last between 5858 and 6262 hours is

P = .96562 - .72907 = .23655

23.655% of the light bulbs are going to last between 5858 and 6262 hours.

​(d) What is the probability that a randomly selected light bulb lasts less than 4646 ​hours?

This is the pvalue of the zscore of X = 4646

Z = \frac{X - \mu}{\sigma}

Z = \frac{4646- 5656}{333.3}

Z = -3.03

Z = -3.03 has a pvalue of .0012. This means that 0.12% of the light bulbs will last 4646 hours or less.

5 0
3 years ago
9 + (1/2)^4x48 I couldn't find a correct answer for this.
Rufina [12.5K]
9+ (\dfrac{1}{2} )^4 \times 48 = 9 + \dfrac{1}{16} \times 48  = 9 + 3 = 12


Answer: 12
3 0
4 years ago
Write the number name for 43,080,700
laiz [17]
Fourth three million eighty thousand seven hundred
8 0
3 years ago
Read 2 more answers
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