Answer:
14) Not a function 15) Function 16) Function
Step-by-step explanation:
The vertical line test is when you draw a line on the graph to see if it passes the function. The rule is that you can only have one intersection per line
for number 14, if you draw a line, it intersects the function twice each time
for 15, no matter what kind of vertical line you draw, each line will only intersect the function once and the same for 16 (except 16 is more of a linear function)
Answer:
Step-by-step explanation:
The area of a trapezoid can be found by multiplying the average of its bases and its height.
We're given:
- One base of 4 cm
- One base of 12 cm
- Height of 1/6 cm
To find the average of a set of 
values, add all the values in the set and divide by . Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.
The average of the bases is therefore 
Thus, the area of the trapezoid is 
We already know that he is trying to save 10 dollars a week and his goal is 300 so we know that has to be in the equation. 160 is the only one not mentioned in the back round information so we can say that the 160 dollars is the amount of money he already had saved before he started working
The value of p(1) is 2
<h3>What is the value of p(1)?</h3>
The function definition is given as:
P(x) = -3(x - 2)^2 + 5
The expression P(1) means that x =1
So, we have:
P(1) = -3(1 - 2)^2 + 5
Evaluate the difference
P(1) = -3(-1)^2 + 5
Evaluate the square
P(1) = -3 * 1 + 5
This gives
P(1) = 2
Hence, the value of p(1) is 2
Read more about functions at
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For this case we have that by definition, the equation of a line in the standard form is given by:
According to the statement we have the following equation of the line:
We manipulate algebraically to write in the standard form. To do this we follow the steps below:
We apply distributive property on the right side of the equation:
We subtract 
on both sides of the equation:
We multiply by 5 on both sides of the equation:
We subtract 5y on both sides of the equation:
Finally, the equation in its standard form is:
Answer:
