Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)

which can be rearranged as
.
Substituting this lone y into the first equation, you get:

Move everything to one side:

Factor:



2)
which can be rearranged as
.

Let's use elimination this time and subtract the first equation from the second:

Factor:



3)


Let's set the two equations equal to each other through substitution:

Move everything to one side:

Factor:



Hope this helps!
Answer:
Answers are below
Step-by-step explanation:
The domain of the function is all real numbers.
The range of the function is also all real numbers.
I graphed the function on the graph below.
Answer:
y = 3x + 8
Step-by-step explanation:
to find slope intercept if we have 2 points use this formula:
find the slope first: m= (y2-y1)/ (x2-x1)
after get the slope, use this formula:
y-y1 = m(x-x1)
Answer:
m= (y2-y1)/ (x2-x1)
= (2-8)/ (-2-0)= -6/-2 = 3
y-y1 = m(x-x1)
y-8 = 3 (x-0)
y = 3x + 8
hope it helps
To solve this problem, let us first assign variables. Let
us say that:
x = volume of 67% herbicide solution
y = volume of 46% herbicide solution
The total volume should be 42 liters therefore:
x + y = 42
x = 42 – y --> 1
The component mass balance on the pure herbicide would
be:
0.67 x + 0.46 y = 0.55 (42) --> 2
Substituting equation 1 to 2:
0.67 (42 – y) + 0.46 y = 23.1
28.14 – 0.67 y + 0.46 y = 23.1
- 0.21 y = - 5.04
y = 24 L
Calculating for x using equation 1:
x = 42 – 24
x = 18 L
Therefore we only need 18 L of the 67% herbicide
solution.
Answer:
A. 18 L
Answer:
NO
Step-by-step explanation:
If the bank account has a fee of $2 per month, it means that at the end of the year you will have $500 - $2 × 12 = 476.
If it pays 2% per year, then, at the end of the year you will receive: $476×0.02 = $9.52.
If you go ahead you will lose money ($14,48) . In order to earn money, you need to put more money.