X intercepts are -3 and 5
Given:
The recipe calls for 
cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
cup of strawberries for = 1 gallon of lemonade
cup of strawberries for = 
gallons of lemonade
= 
gallons of lemonade
= 
gallons of lemonade
cup of strawberries for = 
gallons of lemonade
= 
gallons of lemonade
= 
gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.
Answer:
-16
Step-by-step explanation:
f(x)=-8x+8 and g(x) = sqrt x-9
(f•g)(18)=f(g(18))
g(18)=sqrt(18-9)=sqrt9=3
f(3)=-24+8=-16
Answer:
x=13
Step-by-step explanation:
because they're alternate adjacent angles:
5x=78-x
6x=78
x=13
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
