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ra1l [238]
3 years ago
11

For f(x)=4x+1 and g(x)=x^2-5 find (g/f)(x)

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0

f(x)=4x+1\\\\g(x)=x^2-5\\\\(g/f)(x)=\dfrac{g(x)}{f(x)}=\dfrac{x^2-5}{4x+1}

Rama09 [41]3 years ago
3 0

Answer:

(\frac{g}{f})(x)=\frac{x^2-5}{4x+1}

Step-by-step explanation:

We have been given two function formulas f(x)=4x+1 and g(x)=x^2-5.

By the definition of composition (\frac{g}{f})(x)=\frac{g(x)}{f(x)}.

Upon substituting our given values we will get,

(\frac{g}{f})(x)=\frac{x^2-5}{4x+1}

Since we can not simplify our expression further, therefore, (\frac{g}{f})(x)=\frac{x^2-5}{4x+1}.

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How much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??​
Naddik [55]

Answer:

Step-by-step explanation:

37.99 * 25%= 9.497 or $9.50 tip

3 0
2 years ago
Another One I need help withhhh sorrry
Effectus [21]

Answer:

y = 2x+3

Step-by-step explanation:

Sorry I'm probably too late since Quizziz doesn't wait unless you have the freeze timer thing.

y = mx+b

b is the y intercept. The y intercept (when x=0) is given in the table.

Now plug a coordinate in to solve for m.

My coordinates: (1,5)

5 = m + 3

Solve.

2 = m

m = 2

Note: never plug in the y intercept when looking for m.

You can also find the slope by (subtracting the y value of one coordinate from another y value of another coordinate)/(subtracting x value from the first y coordinate above from the x value from the second coordinate).

In this case, it'd be

m = (7-5)/(2-1)

m = 2/1

m = 2

6 0
2 years ago
The product of two numbers is 1296. If one number is16 times the other, find the number.
Crazy boy [7]

Answer:

81

Step-by-step explanation:

divide 1296 by 16 to get the answer

product means ___ x ____ = product

since 16 is one of the numbers and 1296 is the product, it looks like this 16x___=1296

7 0
1 year ago
Read 2 more answers
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24
melisa1 [442]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

H_0: p = 0.88

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

H_a: p < 0.88

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that \mu = 0.88, \sigma = \sqrt{0.88*0.12}

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that n = 160, X = \frac{138}{160} = 0.8625

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}

z = -0.68

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

7 0
2 years ago
Salid brought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot including sales tax. If salid paid with a
juin [17]
You multiply 1.75 by 35 then subtract by 100

4 0
3 years ago
Read 2 more answers
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