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Zolol [24]
3 years ago
9

Which equation does not represent a function? A) y = 2x + 3 B) x = 4y + 7 C) 6x - 5y = 8 D) y2 = -5x - 8

Mathematics
2 answers:
yulyashka [42]3 years ago
6 0

Answer:

D) y2 = -5x - 8

Step-by-step explanation:

A function is a rule between two sets A and B so that each element of set A (Domain) corresponds to a single element of set B (Range). Mathematically they can be expressed as:

f: A\rightarrow B\\\\a\rightarrow b =f(a)

So:

y^2=-5x-8\\\\y=\pm \sqrt{-5x-8}

Isn't a function because the elements of the domain don't corresponds to a single element of the range.

We can see this in an easier way using the vertical line test, which is a visual way to determine if a curve is a graph of a function or not. If a vertical line intersects a curve in an xy plane more than once, then for a value of x the curve has more than one value of y, and then the curve does not represent a function.    

I attached you the graphs, so you can corroborate the results visually.

marin [14]3 years ago
4 0
D. It is not a function because there are multiple outputs for one input. 
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2 years ago
Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
WHATS THE FRACTION FOR 6 DOLLARS AND 14 CENTS
Jet001 [13]

Answer:

6\frac{14}{100}

Step-by-step explanation:

First, you make fourteen a fraction.

\frac{14}{100}

Then, make it a mixed fraction by adding a six.

6\frac{14}{100}

Lastly, have a great day! :)

3 0
2 years ago
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