Step-by-step explanation:
So you need to figure out how much it can print in 1 minute. You can find that out by dividing 480 by 4. You get 120 which you then multiple by 10.
So the answer is 1,200
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
The vertex is ( 1, -16 ).
Answer:
product is a ⋅ c = 3 ⋅ − 6 = − 18 and whose sum is b = − 7 .
Step-by-step explanation:
Factor
− 7 out of − 7 x .
3 x 2 − 7 ( x ) − 6
Rewrite
−7 as 2 plus −9
3 x 2 + (2−9) x −6
Apply the distributive property.
3 x 2 + 2 x − 9 x − 6
