Answer:

Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) = 
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:



Now that we know the values of b and m, we can write the equation:

19x-53 / x^2 + x + 2
You want to put a - ( 19 x / x^2 + x + 2 - 53/x^2 +x +2)
Rx + h = sx - k Take all with x to the LHS
Rx - sx = -k - h
x(R - s) = - k -h
x = (-k - h) / (R - s). Multiply top and bottom by -1.
x = (k + h) / (s - R)
Answer:
2300
Step-by-step explanation:
We are given that
Out of 200 , four ducks are tagged.
We have to find the number of ducks in the preserve if 46 ducks are tagged.
Let x be the number of ducks in the preserve.
If number of tagged ducks increases then number of preserved ducks also increases.It is in direct proportion.
According to question



x=2300
Answer:
2 gallons of pure alcohol
Step-by-step explanation:
Let x represent the number of gallons of pure alcohol needed, and create an equation:
4(0.25) + x(1) = (x + 4)0.5
1 + x = 0.5x + 2
x = 0.5x + 1
0.5x = 1
x = 2
So, 2 gallons of pure alcohol should be added.