The <span>given the piecewise function is :
</span>
![f(x) = \[ \begin{cases} 2x & x \ \textless \ 1 \\ 5 & x=1 \\ x^2 & x\ \textgreater \ 1 \end{cases} \]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5C%5B%20%5Cbegin%7Bcases%7D%20%0A%20%20%20%20%20%202x%20%26%20x%20%5C%20%5Ctextless%20%5C%20%201%20%5C%5C%0A%20%20%20%20%20%205%20%26%20x%3D1%20%5C%5C%0A%20%20%20%20%20%20x%5E2%20%26%20x%5C%20%5Ctextgreater%20%5C%201%20%0A%20%20%20%5Cend%7Bcases%7D%0A%5C%5D)
To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25
To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4
To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4
To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
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So, the statements which are true:<span>
</span><span>
</span>
Answer: 0.84
Step-by-step explanation:
let p be the population proportion of adults who smoked a cigarette in the past week.
As per given , we have
Sample size : n= 1491
The sample proportion of adults smoked a cigarette= 
The test statistic for proportion is given by :-
Substitute all the values , we get
Hence, the value of the test statistic = 0.84
Answer:
3/4 of the way from A to B = 
or (-3.5, 1.25)
Step-by-step explanation:
Please see attached images below for explanation:
Working together three workers would take 1 hour 36 minutes to finish the job
<em><u>Solution:</u></em>
Given that first worker can finish the job in 8 hours
So in one hour, first worker can do 
th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do 
th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>
The three worker can thus do 
th of the work in one hour
Hence the three of them together can finish the work in 
hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job
Answer:
The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are 
Step-by-step explanation:
We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
The midpoint of line segment can be found using formula:
We have 
Putting values and finding midpoint
So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are
