I’m not sure how your class works, but usually if they are circled it means you only have to do the circled ones. GCF always stands for greatest common factor
Answer:
x = 3
Step-by-step explanation:
we can use the Pythagorean theorem to solve this problem
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
x = +/- 3
we take only the positive value because a length can‘t be negative
x = 3
(5,3) is the answer for the current question
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:
Option 3: 200L + 100B > 5,000
Step-by-step explanation:
Each laptop costs 200 dollars, so this could be represented as 200L. Each bike costs 100 dollars, so this could be represented as 100B.
Jonathan wants his total of laptops and bikes to be more that 5,000, so we have to add 200L and 100B. When added, it should be more than 5,000 dollars.
200L + 100B > 5,000
