Answer:
u=5.23
Step-by-step explanation:
Let x and y represent the two numbers that add up to 24.
x + y = 24
=> y = 24 - x
The product of the two numbers is P = x*y = x*(24 - x) = 24x - x^2.
To maximize the product P, solve P' = 0 for x.
P' = 24 - 2x
24 - 2x = 0
=> x = 12
Also P'' = -2 which is negative
for x = 12
The product when x = 12 is 12*12 = 144
hope it helps!
You would set this up as Part÷Whole=Percent÷100
Part=117
Whole= X
Percent=78
117÷X=78÷100
Set these up as fractions and cross multiply. You will get 117×100=78X
117×100=11,700
Divide both sides by 78 and you get x=150
There were 150 problems
Answer:
(5, infinitysymbol)
Step-by-step explanation:
First solve the inequality. Subtract 2 from both sides.
x + 2 > 7
x > 5
So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.
Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.
So x > 5 in interval notation is:
(5, infinitysymbol)
This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.
