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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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Which expression represents a negative number?
lina2011 [118]

Its C.

Negative x Negative is positive, so its not A or D.

Positive x Positive is Positive, so its not B either.

C is your option because Positive x Negative is Negative, and vice verca.

6 0
2 years ago
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write sixty-nine million fifty-eight thousand, two hundred nineteen and three hundredths in standard form show your work will ma
KIM [24]
69,058,219.03

In standard form,

6.905821903 \times  {10}^{7}
6 0
3 years ago
A rectangle has a length that is 4 times the width, w. If the perimeter of the rectangle has a perimeter of 40
Zolol [24]

Answer:  16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

5 0
3 years ago
suppose a farmer has six cows and each cow has six calves the first year, they all increase in the same propotion, to the end of
Sergio [31]

Hi!

To solve this question you need to solve 7^8 x 6

7^8 = 5,764,801

5,764,801 x 6 = 34,588,806

4 0
3 years ago
Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by
Crazy boy [7]

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is 2x+3y\le12

Then the corresponding linear equation is 2x+3y=12

When x=0, we have  2*0+3y=12

\implies 3y=12\implies y=4

When y=0, we have  2x+3*0=12

\implies 2x=12\implies x=6

The T-table is:

<u>x   |   y</u>

0   |   4

6   |   12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

2*0+3*0\le12

0\le12....This is true so we shade the lower half plane as shown in the attachment.

6 0
3 years ago
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