Answer:
(5,-4)
Step-by-step explanation:
Move the point T three units to the right. It's (x, y), so (5,-4) is the answer.
3y+21+8y
11y+21 is the answer
Answer:

Step-by-step explanation:
The marginal cost function, C'(x), is the derivate of the cost function, C(x).
Therefore, we can obtain the cost function by finding the integral of the marginal cost function:

Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:

Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.