This translates to "a number" is greater than 45. All you have to do now is translate these words into an algebraic statement. Basically, you replace "a number" with the variable which it is defined for, and you use the "greater than" symbol to show that the variable is greater than the value of 45.
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer:
4 units left
Step-by-step explanation:
When finding the percent difference between two numbers, there are two ways you can do this.
1. The first way is how to calculate the percentage INCREASE of two numbers:
-The formula is Increase / Original Number × 100 = % increase
Step 1: Find out the difference between the two numbers you're comparing. New number - Original number = Increase.
Step 2: Divide the increase by the original number and then multiply your answer by 100. (If your answer is a negative number, then it is a percent decrease, not a percent increase.)
2. The second way is how to calculate the percentage DECREASE of two numbers:
Step 1: Find out the difference between the two numbers you're comparing. Original number - New number = Decrease.
Step 2: Divide the decrease by the original number and then multiply your answer by 100. Decrease ÷ Original Number × 100
= % Decrease. (If your answer is a negative number, then is is a percent increase, not a percent decrease.)
