Amanda’s hair grew 3/4 in. in 1 1/2 months? How long did her hair grow in one month?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
It is given that,
Amy wants to sell at most 25 cookies ,
Let number of cookies be '' , then
should be less than or equal to 25
Which is represented by ,
Further,
Let number of sprites be '', then '
' should be greater than or equal to 10
Which is represented by
Also,
Given,
she profits $.50 on every cookie
and $1.00 on every sprite.
So total profit on selling cookies would be
= Profit on each cookie times the number of cookies
=
=
Similarly, total profit on selling sprites would be
=profit on each sprite times the number of sprites
=
=
Now, combining these two should be greater than or equal to $30
representing this through an equation,
Thus the sysytem of equations is given as:
Answer:
Growth function.
The number of students enrolled in 2014 is 1162.
Step-by-step explanation:
The number of students in the school in t years after 2002 can be modeled by the following function:
In which N(0) is the number of students in 2002 and r is the rate of change.
If 1+r>1, the function is a growth function.
If 1-r<1, the function is a decay function.
In 2002, there were 972 students enrolled at Oakview High School.
This means that
Since then, the number of students has increased by 1.5% each year.
Increase, so r is positive. This means that
Then
Growth function.
Find the number of students enrolled in 2014.
2014 is 2014-2002 = 12 years after 2002, so this is N(12).
The number of students enrolled in 2014 is 1162.
let's recall that the graph of a function passes the "vertical line test", however, that's not guarantee that its inverse will also be a function.
A function that has an inverse expression that is also a function, must be a one-to-one function, and thus it must not only pass the vertical line test, but also the horizontal line test.
Check the picture below, the left-side shows the function looping through up and down, it passes the vertical line test, in green, but it doesn't pass the horizontal line test.
now, check the picture on the right-side, if we just restrict its domain to be squeezed to only between [0 , π], it passes the horizontal line test, and thus with that constraint in place, it's a one-to-one function and thus its inverse is also a function, with that constraint in place, or namely with that constraint, cos(x) and cos⁻¹(x) are both functions.
