Her expenses are a fixed expense of $4500 and a weekly expense of $200.
Let's call the unknown number of weeks w.
In w weeks, the weekly expenses will by 200w.
The total expense is
200w + 4500
In a week, when earns $550. In w weeks, she earns 550w.
Set the expenses equal to the earnings and solve for w.
550w = 200w + 4500
Subtract 200w from both sides.
350w = 4500
w = 12.86
It takes her 12.86 weeks to break even.
If she works 13 weeks, she begins to make a profit.
The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
For more about the equation,
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3 with a little 3 in the top right corner because your are multiplying 3 times
Factor because if we have
yz=0 then we can assume y and/or z=0
so factor
so the easiest way is to find what 2 numbers add to -6 and multiply to get 9 so
we know that they must be both - because we must have x+x=(-) and x^2=+ so therefor they must be negative
factors of 9=3 and 3 so
-3 and -3
-3+-3=-6 perfect
(z-3)(z-3)=0
set each to zero
z-3=0
add 3
z=3
z=3 is the answer
