Your answers seem to be on the right track. These online homework apps can be picky about the answer they accept, though.
Given , we have derivative
with critical points when ; this happens when or .
We also have <em>second</em> derivative
with (possible) inflection points when .
Intercept
If "intercept" specifically means -intercept, what you have is correct. Setting gives , so the intercept is the point (0, 3).
They could also be expecting the -intercepts, in which case we set and solve for . However, we have
and
so there are no -intercepts to worry about.
Relative minima/maxima
Check the sign of the <em>second</em> derivative at each <em>critical</em> point.
So we have two relative minima at the points (-1, 2) and (1, 2), and a relative maximum at (0, 3).
Inflection points
Simply evaluate at each of the candidate inflection points found earlier.
Answer:
The correct form for each case is:
- a) 4 (5x + 6) = 20x + 24
- b) -5 (2x - 3) = -10x + 15
- c) 3 (9x + 2y) = 27x + 6y
Step-by-step explanation:
I'm gonna give you the reason for each case.
a) The original equation is:
Now, we're gonna solve the first part of the equation and comparate:
How you can see, the first part is different from the last number, for this reason, the mistake is the 6, then I change it by the 24.
b) The original equation is:
As the previous exercise, we're gonna solve the first part:
You must know that when you multiply two negative signs, the result is positive.
c) The original equation is:
But, this equation can be made in this form:
How you can see, the first part can't be operated or anything, the one form to operate this is removing the plus sign and operating like a multiply.
- 3 (9x + 2y) = 27x + 6y
- 27x + 6y = 27x + 6y
45% of 35,000 = 0.45 x 35000 = £15, 750
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Answer: Faysal's share is £15, 750.
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Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
600/6 = 100
This is how many numbers Candy counted overall.
100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Formula: y=mx+b
Example 1: y=1/4x-9
Example 2: x-y=9
Hope this is right and it helps :)