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4 years ago

Solve the equation g(x) = 2k(x) algebraically for x, to the nearest tenth. given

1 answer:

8 0

Using the degree of freedom rule, we can solve three unknown variables if and only if the number of independent equations is equal to 3. Thus the number of equations should be equal to the number of variables. We can use substitution to find x.

g(x) = 2k(x) (1)
g(x)=2x^+3x+10 (2)
k(x)=2x+16 (3)

we substitute 2 to 1 and also 3 to 1. The resulting function hence becomes:
2x^+3x+10 = 2 * (2x +16)
Simplifying the equation on the right.
2x^+3x+10 = 4x +32
we group then the like terms on one side. That is,
2x^+3x - 4x+10 -32 = 0
2x^2 - x - 22 = 0
The factors using the quadratic equation are

x1 ==1/4+1/4√177
x2 ==1/4-1/4√177

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kogti [31]

Answer:

Step-by-step explanation:

Answer: Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

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x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

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So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

So we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .

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3 years ago

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kirill [66]

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3 years ago

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denis23 [38]

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The correct option is (i) I expect the confidence interval based on the sample of 64 data values to be more precise.

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Consider the provided information.

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3 years ago

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Goshia [24]

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