F(x) = m1x + b1
g(x) = m2x + b2
f(g(x)) = f(m2x + b2) = m1(m2x + b2) + b1 = m1m2x + b2 + b1
a.) f of g is also a linear function.
b.) slope is m1m2
The vertices of a right triangle are (–6, 4), (0, 0), and (x, 0). Find the value of x.
Answer:
D.
Step-by-step explanation:
The wildfire begins at a size of 8 square feet
It means that initial area =8
It then doubles its width every x hours,
and doubles its length every y hours
so, we can set up equation
now, we can simplify it
we are given
After a period of time, the wildfire covers 14,000 square feet
so, we can set A(x,y)=14000
we get
Keep doing each step manually, and see where it slips up:
−7.9+8.2−3.4+2.1=−1
−7.9+8.2+(−3.4)+2.1=−1
−7.9+(−3.4)+8.2+2.1=−1
(−7.9+(−3.4))+(8.2+2.1)=−1
−11.3+10.3=−1
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.