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crimeas [40]
2 years ago
7

Solve the equation using either guess-check-and-improve or backtracking.

Mathematics
1 answer:
Dvinal [7]2 years ago
3 0
I think the answer is D. If I’m wrong sorry
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What is the largest possible integral value in the domain of the real-valued function
kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

  • Antiderivatives
  • Integral Property: \int {cf(x)} \, dx = c\int {f(x)} \, dx
  • Integration Method: U-Substitution
  • [Integration] Reverse Power Rule: \int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = \frac{1}{\sqrt{800-2x} }

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

u = 800-2x\\du = -2dx

<u>Step 3: Integrate</u>

  1. Define:                                                                                                            \int {f(x)} \, dx
  2. Substitute:                                                                                         \int {\frac{1}{\sqrt{800-2x} } } \, dx
  3. [Integral] Int Property:                                                                                     -\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx
  4. [Integral] U-Sub:                                                                                           -\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du
  5. [Integral] Rewrite:                                                                                          -\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du
  6. [Integral - Evaluate] Reverse Power Rule:                                                 -\frac{1}{2}(2\sqrt{u}) + C
  7. Simplify:                                                                                                         -\sqrt{u} + C
  8. Back-Substitute:                                                                                            -\sqrt{800-2x} + C
  9. Factor:                                                                                                           -\sqrt{-2(x - 400)} + C

<u>Step 4: Identify Domain</u>

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0
3 years ago
the final cost of a sale item is determined by multiplying the price on the tag by 75%. which best describes the function that r
Nezavi [6.7K]
It would be a linear equation
3 0
3 years ago
Hurry please !!!!!!!
Ratling [72]

9514 1404 393

Answer:

  | 573 |

Step-by-step explanation:

The product of a 1×2 matrix and a 2×1 matrix will be a 1×1 matrix. The value of the only term will be the dot-product of the row of the first matrix and the column of the second matrix.

  P = | 17·27 +19·6 | = | 573 |

4 0
2 years ago
I need help please with this question
uranmaximum [27]

Answer:

around like 33.50$

Step-by-step explanation:

All you have to do is take the number of hours times the amount of money per hour ( so like the equation would look like y=5x) and since the 45 minutes isn't a full hour it shouldn't matter. Just in case though we'll consider the 45 minutes and make it a .7 and multiply that by 5 as well and we get 3.5. Now we just take 5*6+3.5 and bang.

8 0
3 years ago
43k is an example of what? A. monomial B. binomial C. trinomial D. equation?​
Mariana [72]
The answer would be b
5 0
2 years ago
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