Step-by-step explanation:
First, find the zeroes of the parabola







So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.

Plug in -3, and 4 into the derivative function


So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.



At x=4, our slope of tangent line is 7, and pass through (4,0) so


So the equations of tangent is


The regular price of a child's ticket is $51
<u><em>Explanation</em></u>
If
represents the regular price of an adult ticket, then the regular price of a child's ticket 
Given equations is: 
<u>Solving the above equation</u>, we will get...

So, the regular price of a child's ticket
dollar.
Answer:
option C
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
And we need to tell which graph best matches the graph we drew. Firstly let's convert it into a quadratic equation by opening and simplifying the brackets.
y = ( x + 2) ( x - 3)
y = x ( x - 3)+2( x - 3)
y = x² - 3x + 2x -6
y = x² - x - 6
Now plot its graph. For that refer to attachment.
<u>Things </u><u>we </u><u>can</u><u> </u><u>interpret</u><u> </u><u>:</u><u>-</u><u> </u>
- The constant in the equation is -6. So the graph will cut y axis 6 units below the X axis . At (-6,0)
- From the given options , option C matches the above point .
<u>Therefore</u><u> the</u><u> </u><u>correct</u><u> </u><u>option</u><u> </u><u>is </u><u>(</u><u>C)</u><u> </u><u>.</u>
Answer: d
Step-by-step explanation: