Answer:
x ≈ 83.533
y = 9105.13
Step-by-step explanation:
Step 1: Substitution
109x = 79x + 2506
30x = 2506
x = 83.533
Step 2: Plug <em>x</em> in
y = 109(83.533)
y = 9105.13
Graphically:
Answer:
Step-by-step explanation:
The function 
has a horizontal asymptote which is 
The function 
has a horizontal asymptote which is 
The function has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,
The function 
has a horizontal asymptote which is 
It's actually (-9)... think of it as a hot air balloon, the positivies being balloons and the negatives being sandbags or weights.
You have 7 sandbags/weights and add 9 more sandbags/weights, causing u to go lower, therefore, *negative* 9
Hope that helped! :))
Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
