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3 years ago

The alpha airline company allows passengers two bags with a total weight of 100 pounds.

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

See the explanation.

Step-by-step explanation:

Anyone of the x and y is independent variable and the other one is dependent variable.

<u>The equation is x+y=100 or, y = 100 - x.</u>

If we compare the above equation with y = mx + c, then m = -1.

The slope is -1.

Both the domain and range is 0 to 100.

The weight of the bags can not be negative.

The highest weight of one bag can be 100.

Hence, the values will vary between 0 to 100.

X and y are the weight of the bags.

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Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet

Nookie1986 [14]

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- The equation :

Area = length x width

- Substitute the values in :

Area = (x - 5)(x - 5 + 22)

(Note : the 'x' is for the algebraic expression x in the example above)

- Now you have to simplify the second parenthesis:

Area = (x - 5)(x + 17)

- Now expand :

Area = x^2 + 17x - 5x - 85

- Simplify by collecting like terms :

Area = x^2 + 12x - 85

(Note : x^2 means x squared)

Now you have your answer as:

x^2 + 12x - 85 feet^2

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3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

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3 years ago

The OLS method A. minimizes the sum of the residuals. B. maximizes the sum of the residuals. C. maximizes the sum of the squared

blagie [28]

Answer: D. minimizes the sum of the squared residuals

Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.

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2 years ago

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are

romanna [79]

If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

12 + 2 = 2z

z = 7

Then the value of y will be

3 + y + 7 = 15

y = 5

More about the linear system link is given below.

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A weight lifter lifts a setof 1250kg weights a vertical distance of 2m in a weight lifting contest what potential energy do the

nikitadnepr [17]

Answer:

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