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dimulka [17.4K]
3 years ago
7

What type of function is y=x^2+6x+5

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Hello.

\mathrm{y=x^{2} +6x+5} is a quadratic function, because it has an \mathrm{x^{2} } (x squared, or x times x) term.

Here's what linear functions look like:

\mathrm{y=mx+b}

A graph of a linear function is a line.

Quadratic functions look like so:

\mathrm{y=ax^{2} +bx+c}

A graph of a quadratic function is a parabola.

Therefore, the given function is a quadratic function.

I hope this helps.

Have a nice day.

\boxed{imperturbability}

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The expression 100 + 20m, gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m minutes filling his poo
Fudgin [204]

Answer:

205 litres

Step-by-step explanation:

The expression that gives the volume of water in Eduardo's pool (in liters) is:

100 + 20m

where m is time, in minutes

After 5\frac{1}{4} minutes (\frac{21}{4} minutes), the volume is will be:

100 + (20 * \frac{21}{4} )\\\\\\100 + (5 * 21)\\\\\\100 + 105

= 205 litres

The volume of water in the poll will be 205 litres.

8 0
4 years ago
If 1 pound = 16 ounces, what is the weight of the bananas ( 2.5 lbs ) in ounces.
Galina-37 [17]

Answer:

Hi there

Your answer is

40 ounces

Step-by-step explanation:

1lb = 16oz

2.5lbs = xoz

1lb = 16oz

*2.5

2.5lbs = 40oz

7 0
3 years ago
Read 2 more answers
A police officer wants to know the proportion of crimes that are burglaries within the last five years. She randomly selects 40
svlad2 [7]

Answer:

a. Yes

See explanation below.

Step-by-step explanation:

Assuming that if the question is if we can use the normal approximation for the true proportion.

For this case we have n = 40 and p = 0.3 (probability of success)

We need to check some conditions:

1) Random sample : This condition is satisfied since the problem says that she randomly select 40 records

2) n \hat p = 40*0.3 =12 \geq 10

n(1-\hat p)= 30 *(1-0.3) = 28 \geq 10)

3) 10% condition: the random sample is assumed to be less than 10% of the original population size (assumed)

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

So then as we can see the normal approximation for this case makes sense since we have all the 3 conditions satisfied so then the answer would be:

a. Yes

7 0
3 years ago
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the h
Soloha48 [4]

Answer:

Null hypothesis:\mu \leq 60  

Alternative hypothesis:\mu > 60  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33  

Step-by-step explanation:

Data given and notation  

\bar X=67 represent the sample mean    

s=12 represent the population standard deviation for the sample  

n=16 sample size  

\mu_o =60 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 60, the system of hypothesis would be:  

Null hypothesis:\mu \leq 60  

Alternative hypothesis:\mu > 60  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33  

4 0
3 years ago
A total of 714 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 more
VladimirAG [237]

Answer:

714 is the total number that is sold, if there is 64 more tickets sold for students then adults, then do 714 divided by 2 and add 32 to get the number for students, and for adults do 714 divided by 2 and subtract by 32. so, like this 714/2+32=389 tickets for students and 714/2-32=325 for adults. Hope this helps

7 0
3 years ago
Read 2 more answers
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