Answer:
#1 false
#2 true
Step-by-step explanation:
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
<h3>What is a function?</h3>
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
To get more about functions visit:
brainly.com/question/17043948
Answer:
....
Step-by-step explanation:
Answer:
(5,2)
Step-by-step explanation:
midpt coordinates =((x1+x2)/2,(y1+y2/2))
= ((6+4)/2), (7-3)/2)) = (5,2)
Answer:
The system of equations is:
x+y = 42
y = 2x
Step-by-step explanation:
Let x represent the number of ounces of lemon juice.
Let y represent the number of ounces of linseed oil.
A total of 42 ounces of floor wax is to be made, so:
x+y = 42
The amount of oil should be twice the amount of lemon juice. So:
y = 2x
so the system of equations is obtained.