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bonufazy [111]
3 years ago
8

The y-intercept of the line whose equation is 3x + 2y = 7

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
You'll have to get this equation back to the y=mx+b form to find your y intercept. Start by getting y alone.

3x + 2y = 7
-3x        -3x
2y = -3x + 7

Since why has a 2 in front of it, you now need to divide the entire equation by 2 to get y completely alone.

2y = -3x +7
/2
y= -3/2x + 7/2

Normally, you'd want to simplify the fractions but that is the smallest you can get it to be. Your y intercept is 7/2.
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Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
3 years ago
If the probability of an event is 0.7 repeating​, what are the odds against the​ event
ivann1987 [24]
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Step-by-step explanation:

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