Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
<em>290.5 square miles</em>
Step-by-step explanation:
Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;
<em>Solution; 290.5 square miles</em>
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
<em>F</em> = a person with fibromyalgia
<em>R</em> = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
<h3>How to form a linear equation</h3>
Let the time taken to play basketball be "x"
Let the time taken to play volleyball be "y"
According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;
x + y = 95
If he plays basketball for 25 minutes long, then;
x = 25
The pair of linear equations that represents the statement are:
x + y = 95
x = 25
The time it takes Eric to play volleyball every day is expressed as:
y = 95 - x
y = 95 - 25
y = 70 minutes
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
Learn more on linear equations here: brainly.com/question/14323743
