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Ronch [10]
3 years ago
8

What is the solution set for 6x−2=5x+3 , given the replacement set {2, 3, 4, 5} ?

Mathematics
2 answers:
cestrela7 [59]3 years ago
8 0
<span>In order to find the solution, we must solve for 'x' in the initial equation. What we do to one side of the equation to isolate 'x', we must do to the other. If we subtract 5x from both sides were are left with x - 2 = 3. We then add 2 to both sides to completely isolate 'x' and are left with x = 5. This is in the replacement set and is one of the provided solutions, D.</span>
Romashka [77]3 years ago
5 0

Answer:

It's D

Step-by-step explanation:

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A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
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Answer:

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  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

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b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

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c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

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So 55% is really 55/100
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Simplified is 9/20 of the miles
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Answer:

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Step-by-step explanation:

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Answer:

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