In a newspaper, it was reported that yearly robberies in Springfield were up 25% to 265 in 2013 from 2012. How many robberies we
1 answer:
Answer: There were 212 robberies in 2012.
Step-by-step explanation:
Since we have given that
Number of robberies in Springfield in 2013 = 265
Rate of growth in 2013 = 25%
We need to find the number of robberies there were in 2012.
Let the number of robberies in 2012 be x
so, According to question,
Hence, there were 212 robberies in 2012.
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Given:
The function is
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
Differentiate with respect to x.
For turning point f'(x)=0.
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].
Answer:
Solving the expression we get
Option D is correct option.
Step-by-step explanation:
We need to solve the expression:
We know that
and
<u>Using above rule:</u>
<u /><u />
Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e: <u />
Using the exponent rule
So, solving the expression we get
Option D is correct option.