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juin [17]
3 years ago
8

For f(x) =4x+1 g(x)=x²-5, find (f•g)(x)​

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

4x² - 19

This is your correct answer friend

Marta_Voda [28]3 years ago
5 0

Step-by-step explanation:

The composite function (f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

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Describe proportional relationships
irga5000 [103]

the constant of proportionality

Step-by-step explanation:

proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality

4 0
3 years ago
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
What is the x-intercepts of the graph of y = 12x-5x-2
hammer [34]
Y = 12x - 5x - 2

first simplify the equation by subtracting like terms (in this case):

12x - 5x = 7x

y = 7x - 2

Since you are finding the x, you must isolate the x. Do the opposite of PEMDAS.(Note: because there is a equal sign, what you do to one side, you do to the other)

y = 7x - 2

y (+2) = 7x - 2 (+2)
y + 2 = 7x
(y + 2)/7 = 7x/7

x = (y + 2)/7


x = (y + 2)/7 is your answer

hope this helps
8 0
3 years ago
Read 2 more answers
Use the drop down to complete the following inequality.
Tomtit [17]

Answer:

The inequality is c+2< 1

Step-by-step explanation:

we know that

In the figure, the value of c is less than -1

so

c< -1

Adds both side +2

c+2< -1+2

c+2< 1

5 0
3 years ago
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Solve the following equation for x. 7x^2-112=0
xxMikexx [17]

Answer:

x = 4 or x = -4

Step-by-step explanation:

3 0
3 years ago
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