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3 years ago

You sit down to take a true-or-false test with 5 questions. If you randomly

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

Answer:

Well, its about 67% chance you will pass.

Step-by-step explanation:

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

Which is a quadratic function? A. 3x + y^2 = 5 B. 3x^2 + y = 5 C. y = 3x + 5 D. x = 3y + 5

borishaifa [10]

差は稀飲む、。サラダ等ノー。。。。。。お手）頬後へ襲おホミンゆー

8 0

4 years ago

A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of t

erik [133]

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

With a tailwind

$y+x=\frac{868}{2}$

$y+x=434$ ----> equation A

With a headwind

$y-x=\frac{792}{2}$

$y-x=396$ ----> equation B

solve the system of equations A and B by elimination

Adds equation A and equation B

$y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415$

Find the value of x

$y+x=434$

$415+x=434$

$x=434-415$

$x=19$

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

6 0

3 years ago

Read 2 more answers

Is -5 bigger than -4.89?

neonofarm [45]

No. -4.89 is bigger than -5

6 0

3 years ago

Read 2 more answers

Quick question:)))

Mrrafil [7]

First and foremost is the vertex, which is either the highest point or the lowest point of the parabola (which’s is what the graph of a polynomial looks like). From the vertex, you can always determine the next two points closest to the maximum/minimum.

Another key feature includes the y-intercepts, which are important if you want to find the zeros of the polynomial. Sometimes, the x-intercepts may come in handy as well, but not as often as the y-intercepts.

7 0

3 years ago