There’s no list ? What are the answers
Answer:
b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.
Step-by-step explanation:
The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;
the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.
Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.
Answer:
t > 1380
Step-by-step explanation:
Subtract 7200 from both sides
10t + 7200 - 7200 > 21000 - 7200
Simplify
10t > 13800
Divide both sides by 10
10t/10 > 13800/10
Simplify
t > 1380
Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2
