Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)= and y=
Equating the both the equation,
x=
For f(x)= and y=
Equating the both the equation,
x=
Therefore, The function touches the damping factor x= and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=
Hence, is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Answer:
5 people
Step-by-step explanation:
For each people Ms Hernandez bring to the zoo, she will pay $15.50, so if she go alone, 1×15.50, if she go with one person, 2×15.50, with three 3×15.50, and keep growing this way. The price each person pay is constant and equal to 15.50, and what will determine the final price is the number of people. Also remember that she always will have to pay $ 10 on parking, so you can write an equation with this:
15.50x +10 = y, as x being the number of people and y being the final price.
She have $100, so this is the max she can spend. Two know the number of people she can bring to the zoo, put 100 in place of y and find the value of x:
15.50x + 10 = 100
15.50x = 100 - 10
15.50x = 90
x = 90/15.50
x = 5.8
But there's no way to bring 0.8 person, so the max she can bring are 5 people, including her
Well, in the real would many people spend more than $30.
