Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
Answer:
16
Step-by-step explanation:
If P=2b +2s then you plug in the variables
Answer:
This does represent an exponential function , because his savings increase by a constant rate
Step-by-step explanation:
Let
x -----> the number of weeks
y ----> the amount saved
In this problem we have a exponential function of the form

where
a is the initial value
b is the base
r is the rate of change
where

---- because he doubles the amount each week
----> 
substitute

therefore
This does represent an exponential function , because his savings increase by a constant rate
First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.