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grigory [225]
3 years ago
13

Determine whether the following equation defines y as a function of x.

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x +  y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

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Question 1.

Pulling out like terms :

1.1     Pull out like factors :

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Equation at the end of step  1  :

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Add  5/6  to both sides

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Therefore, y = 5/6

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Question 2.

To make fractions improper with whole numbers, you must <u>multiply the Denominator by the whole number, then add the Numerator to the Product.</u>

<u></u>

First we multiply 32 by 5.

32 x 5 = 160.

Then we add the Numerator which is 1.

160 + 1 = 161, then we put it over the Denominator, your final answer is 161/5.

Therefore, 161/5 is your final answer.

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Thank you and Best of Luck to you!

<u></u>

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I need help solving this!
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Answer:

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= 530.18 miles

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Answer:

D

Step-by-step explanation:

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