For #1:
y = x + 4
Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.
To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:
y - y1 = m(x - x1)
Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.
y - 2 = 1(x - 2)
Distribute 1 into the parenthesis:
y - 2 = x - 2
Add 2 to both sides:
y = x
So your equation is y = x.
S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
Answer:
10058
Step-by-step explanation:
The equation is of the form
y = ab^x
Where a is the initial value, y is the final amount and x is the time
y = 6000 b^x
7200 = 6000 b^6
Divide each side by 6000
7200/6000 = b^6
1.2 = b^6
Take the 6th root on each side
1.2 ^ 1/6 = b^6 ^ 1/6
1.030853321 = b
y = 6000 (1.030853321) ^ x
Let x = 17
y = 6000 (1.030853321) ^ 17
y=10057.68696
Rounding to the nearest whole number
y = 10058
Answer:
41
Step-by-step explanation:
