The slope-intercept form of x - y = 7 is y = x - 7. The slope of that line is 1. That means the slope of the line that also goes through (1, 0) is also 1. If you use the point-slope formula, the answer you will receive is y = x - 1.
Answer:
To find the perimeter, you actually need to find the circumference of a circle.
Step-by-step explanation:
The formula to find the circumference is:
C= 2 pi times r
The r is the radius of the circle. The 2 stays the same. If you have the radius then you are fine.
E.g. If you have a circle and you're given that the radius the distance from the center to a point on the circle is 10. Since you have the radius, all you will have to do is C= 2 pi times (10). So 2 times 10 is 20 so it'll be 20 pi for the circumference.
I hope this helped sorry if it's confusing. If you have any questions please ask.
30! equals 2.6525286e+32
30 is a natural number
! is a factor
The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:
y = (3/4)*x - 2
<h3>
</h3><h3>
How to get the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where b is the y-intercept and a is the slope.
Such that two lines are parallel if the lines have the same slope but different y-intercepts.
So, if we want to have a line parallel to:
3x = 4y
y = (3/4)*x
Then the slope must be 3/4.
And the line must have the same y-intercept than:
2x - 3y = 6.
We can rewrite that to get:
-3y = 6 - 2x
y = (6/-3) + (2/3)*x
y = (2/3)*x - 2
So this linear equation has a y-intercept equal to -2, then our linear equation is:
y = (3/4)*x - 2
If you want to learn more about linear equations:
brainly.com/question/14323743
#SPJ1
Answer:
<u>ALTERNATIVE 1</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-60x² + 275x) - (50000 + 30x)
P(x) = -60x² + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - 60x)
R(x) = -60x² + 275x
d. Find the marginal revenue function in terms of x.
R'(x) = (-60 · 2x) + 275
R'(x) = -120x + 275
The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60
<u>ALTERNATIVE 2</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-x²/60 + 275x) - (50000 + 30x)
P(x) = -x²/60 + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - x/60)
R(x) = -x²/60 + 275x
d. Find the marginal revenue function in terms of x.
R(x) = -x²/60 + 275x
R'(x) = -x/30 + 275