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:
The question says area of a square = 9 cm squared.
And they said if the sides are doubled in length what is the new length
so new length = 9 cm^2 × 9 cm^2
which should give you 81cm^2
therefore your answer should be = C
Answer:
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Step-by-step explanation:
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Answer:
Value of the independent variable = 25
Step-by-step explanation:
y-intercept form of a straight line is represented by the equation,
y = mx + b
here y = dependent variable
m = slope
b = y intercept or vertical intercept
x = independent variable
In our question,
y-intercept 'b' = 150
slope of the line 'm' = 4
dependent variable y = 250
We will plug in these values in the equation of the line to get the value of the independent variable.
250 = 4x + 150
250 - 150 = 4x
x = 
x = 25
Therefore, value of the independent variable is 25.