Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
Answer:
1 sig figs = 1st number is a non zero number and all following numbers are zero (if no decimal point present)
if decimal point is present then it can be 0.x where the x can be any number but nothing can come after it
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Angles are complementary so:
10x + 16 + 54 = 90
10x + 70 = 90
10x = 20
x = 2
Answer: the rate of the car is 50 mph.
Step-by-step explanation:
Let x represent the rate of the car. If the rate of the bus is 10 miles per hour slower than the car, it means that the rate of the bus is (x - 10) mph.
Time = distance/speed
The car can travel 100 miles in the same time that it takes a bus to travel 80 miles. It means that the time taken by the bus to travel 100 miles is
100/x
and the time taken by the car to travel 80 miles is
80/(x - 10)
Since the time is the same, then
80/(x - 10) = 100/x
Cross multiplying, it becomes
80x = 100(x - 10)
80x = 100x - 1000
100x - 80x = 1000
20x = 1000
x = 1000/20
x = 50 mph
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
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If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.