Differentiate both sides with respect to x
Answer:
A. 5/72
Step-by-step explanation:
5 + 4 + 3 = 12 marbles
5/12 - the probability that the student picks a blue marble.
1/6 - the probability that 4 is on the cube
The probability that the student picks a blue marble from the bag, and then rolls a 4
5/12 * 1/6 = 5/72
Answer:
0.2% of the people had mid allergic reaction.
Step-by-step explanation:
Given that:
Number of people tested for a new shampoo = 9000
Number of people who had allergic reaction = 18
Percent of people = 
Percent of people = 
Percent of people = 0.002 * 100
Percent of people = 0.2%
Hence,
0.2% of the people had mid allergic reaction.
The given function is

. This is a quadratic function because the degree of the polynomial, the variable with the highest exponent, is 2.
All quadratic functions can be expressed in the form

.
In your equation,
a = -1
b = 50
c = -264
The equation for the x-coordinate vertex of a quadratic function is

.
Applying this to the given function,

.
Now plug the value of x into f(x) to find f(x) (aka the y-coordinate).

The vertex is (25, 361)
Part B
The x-intercept is where the graph crosses the x-axis. Therefore, f(x) (aka the y-coordinate) will be 0. So the x-intercept will be in the form of (x, 0).
To find the x-intercept, set f(x) = 0.

.
Therefore the x-intercepts will be at (6, 0) and (44, 0)