Answer:
- local minimum at x = -3-2√14
- local maximum at x = -3+2√14
Step-by-step explanation:
The first derivative simplifies to ...
d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2
This has zeros that can be found by the usual methods of solving quadratics:
x = -3 ±2√14
The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)
The two numbers are 29 and -52
Further explanation:
Let x be the larger number
and
y be the smaller number
then according to given statements

Adding both equations


Putting x = 29 in first equation

<u>Proof:</u>
Putting the values of x and y in first equation

So, The two numbers are 29 and -52
Keywords: Linear equations in two variables, Elimination method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
- {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
- common difference: 1.8
Step-by-step explanation:
The difference between the two numbers is ...
5.8 -(-3.2) = 9
The four "means" divide this interval into 5 parts, so each part has a length of ...
9/5 = 1.8 . . . . the common difference
The values of the "means" can be found by adding 1.8 successively:
-3.2 +1.8 = -1.4
-1.4 +1.8 = 0.4
0.4 +1.8 = 2.2
2.2 +1.8 = 4.0
Including the given numbers, the arithmetic sequence is ...
-3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8
Answer:
mhuaaa
Step-by-step explanation:
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Answer:
1.4
Step-by-step explanation: