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: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Step-by-step explanation:
Answer:
A) y=1/5x
Step-by-step explanation:
Coz, the way you identify a perpendicular line is by looking for its negative reciprocal. The neagtive reciprocal of 5= 1/5
Now, to check the ans we can multiply the negative reciprocal by "m"
(m in y=mx+c or y=mx+b)
in this case the "m" is stated as 5, so all we need to do is 1/5*5 if the ans is 1 then your ans is right....and over here it is
So thats how you identify & check perpendicular lines!
Answer:
52x5x2 is your answer
Step-by-step explanation:
Answer:
A. y = x² - 9x + 18
Step-by-step explanation:
The key thing to look for in this graph is the <u>y-intercept</u> (where the graph will hit the y-axis).
We can't see exactly where y-intercept is, but we know it is a positive number.
In a standard form quadratic equation:
<em>y = ax² + bx + <u>c</u></em>
'<em>c</em>' tells you what the y-intercept is.
The choices with positive y-intercept are <u>A</u> and <u>B</u>.
Again, we can't see exactly where y-intercept is, but we know it is not 1.
y = x² - 9x + 18
has a positive y-intercept that is not 1,
thus the answer is A.
