I need to solve for y in -19 = y + 6
2 answers:
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Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Answer:
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs:
In this case, given the following expression:
You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.
Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:
You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.