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3 years ago

What is the range function 2x +y=7 if the domain is (-4,-2,0,5,7)

Mathematics

1 answer:

Len [333]3 years ago

5 0

Answer:

range: {15, 11, 7, -3, -7}

Step-by-step explanation:

when x = -4, y = 15

when x = 2, y = 11

when x = 0, y = 7

when x = 5, y = -3

when x = 7, y = -7

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saw5 [17]

The correct answer is 240

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3 years ago

For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour a

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1 year ago

The Jones family income is $42,000 a year (net pay), which is $3,500 a month.

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4 years ago

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4 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by

Diano4ka-milaya [45]

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing <em>x</em> units of a certain product is:

$C(x)=x^2-15x+34$

We want to find the number of units manufactured at a cost of $8350. Therefore:

$8350=x^2-15x+34$

Subtract 8350 from both sides:

$x^2-15x-8316=0$

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 1, b = -15, and c = -8316. Thus:

$\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}$

Simplify:

$\displaystyle x=\frac{15\pm\sqrt{33489}}{2}$

Evaluate:

$\displaystyle x=\frac{15\pm183}{2}$

Therefore, our solutions are:

$\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84$

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

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3 years ago