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taurus [48]
3 years ago
6

Use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

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Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u
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Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : p=100x^{0.34} y^{0.66}

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

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Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

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Applying the expression for maximum production

p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728

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Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0
3 years ago
Need help ASAP no Rocky
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Answer:

The length of mid-segment XY=4 units

Step-by-step explanation:

Given:

Length of QR=8 units

XY is the mid-segment which means the line joining the midpoints of two sides of triangle.

By mid-segment theorem the mid-segment of a triangle is parallel to the third side and half of the length of third side.

So, we can write:

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XY=\frac{1}{2}(8)

∴ XY=4 units

∴The length of mid-segment XY=4 units

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