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Sergeu [11.5K]
3 years ago
11

I think I know this much so far for A (but I could be wrong):

Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0
Part A. You have the correct first and second derivative.

---------------------------------------------------------------------

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.

-------------------------------------------------------------

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. 
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25 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!!NO LINKS OR SPAMS I already solved half of it pls help on part 4 and down.
vichka [17]

Answer:

Death Valley California

C(t) = -0.30 (0)² + 40

C(t) = 40

C(t) = -0.30 (12)² + 40t – 12)2 + 40

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7 0
2 years ago
A triangle has coordinates A(6,1), B(6,5), and C(4,1). If the triangle is rotated 180 degrees, what are the new coordinates of t
4vir4ik [10]

Answer:

A(-6,-1) B(-6, -5) C(-4, -1)

Step-by-step explanation:

When a coordinate is rotated 180 degrees, they go from (x,y) to (-x,-y), so all you need to do is multiply every coordinate by -1

6 0
3 years ago
Gail practices swimming for 1 and 1 fourth hours swimming every day how much time does she practice in a week
Lorico [155]
If Gail practises swimming for 1 and 1/4 hours a day, then in a week she'll do:

1 1/4 * 7 = 5/4 * 7 = 35/4 = 8 3/4 [hours]

In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).
8 0
3 years ago
Need answers ASAP<br> linear pair vertical adjacent none of these
andrey2020 [161]
For the parallel lines 1/2 the vertical line is 1 & the horizontal line is 2 so if you multiply both of them should equal 3. I don't acually know about the other one though
6 0
3 years ago
todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is
STatiana [176]

Answer:

Step-by-step explanation:

Let's create some equations first.

Say M = number of months, T = Todd and S = Sally.

We know that Todd starts with 8 cds and sally starts with 18 cds.

This means when M= 0,  T = 8 and S = 18

After one month (M = 1), Todd adds 9 cds.

This means can write the following equation:

T = 8 + 9M

So after the first month (where M = 1), we can find out that Todd has

T = 8 + 9 x 1 = 8 + 9 = 17 cds

For Sally, we know she adds 7 cds per month.

S = 18 + 7M

After one month (M = 1),

S = 18 + 7 x 1 = 25 cds.

Now we are trying to find when they will have the same number of cds and how many.

This means we are trying to figure out what M = ? when Todd and Sally are equal.

So we want to find when T = S

Remember, earlier we wrote :

T = 8 + 9M

S = 18 + 7M

If T = S, this means:

8 + 9M = 18 + 7M

Gather the like terms and solve for M.

Subtract 8 from both sides.

9M = 10 + 7M

Subtract 7M from both sides

2M = 10

Divide both sides by 2

M = 5.

So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).

Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.

T = 8 + 9M

T = 8 + 9 x 5

T = 53

Therefore, after 5 months Todd and Sally will have 53 cds each :)

6 0
3 years ago
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