Answer:
2=2
Step-by-step explanation:
Step-by-step explanation:
work is shown and pictured
Answer:
Step-by-step explanation:
A function is continuous at a point if and only if:
So, we have the piecewise function:
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
Since we're coming from the left, we'll use the first equation. Thus:
Direct substitution:
Simplify:
Subtract and divide:
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right <em>must</em> also be equal to 0.
Therefore:
Direct substitution:
Subtract 1 from both sides:
Divide both sides by -9:
Therefore, the value of k is 1/9.
So, our equation in the end is:
Answer: 3125.
Step-by-step explanation: 0.5x10 is 5, then 5 to the fifth power is 3125 :)
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Answer: 5 inches
Step-by-step explanation:
Length of souvenir = 15 cm
If 1 inch = 3 centimeters
Length of souvenir in inches :
To obtain the length of souvenir in inches :
Divide the number of inches by 3
Length of souvenir / 3
15 / 3 = 5
Hence, the length of souvenir in inches = 5 inches