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Anika [276]
2 years ago
6

Minimum and maximum value of 2n^2+5n-25=0

Mathematics
1 answer:
Alborosie2 years ago
8 0
Equations don't have minimum or maximum, functions do.

Function y=2n^2+5n-25 has minimum -28.125, has no maximum.
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PLEASE HELP ANYONE
kenny6666 [7]

Answer:

B

Step-by-step explanation:

4 or greater: 1/2 (4,5,6)

4 or smaller: 2/3 (1,2,3,4)

1/2 * 2/3 = 2/6

2/6 = 1/3

1/3 = 0.333

6 0
3 years ago
Read 2 more answers
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  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.

__

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.

6 0
3 years ago
Write the equation in logarithmic form 4^7=16,384 please show work
nlexa [21]

 If a^ x = b then:  

x = log_{a}b  

For:

4^{7} = 16384 \\ log _{4}16384 = 7

8 0
3 years ago
.
timofeeve [1]
A=9,805×(1+0.085×7÷12)
A=10,291.16
7 0
2 years ago
What is the common difference for this arithmetic sequence?
olya-2409 [2.1K]
Subtract a number from the next number.

39 - 45 = -6

Answer: B. -6
7 0
3 years ago
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