Answer:
The first car was traveling 70 mph, while the second was driving 50 mph.
Step-by-step explanation:
Set the cars as a proportion:

X represents the speed of the second car. By cross multiplying, you get the following equation:

You solve by distributing 150 to get 210x = 150x + 3000.
Solving for x gets you 50.
That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.
Substitute
, so that

Then the resulting ODE in
is separable, with

On the left, we can split into partial fractions:

Integrating both sides gives




Now solve for
:


Answer:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Step-by-step explanation:
Answer: The company must sold 382 units to break even.
Step-by-step explanation:
Hi, there is no question asked, so I suppose that you need to find the number of items (x) to break even.
To answer this question we have to equal both sides of the equations:
Since costs equal its income:
C=R
So:
38x +19100= 88x
Solving for x
19100= 88x-38x
19100=50x
19100/50 =x
382=x
The company must sold 382 units to break even.
Feel free to ask for more if needed or if you did not understand something.