After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
Answer:
the 3rd one
Step-by-step explanation:
The answer is D.
The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!
Answer:
I’m not sure on b and c but did a for u
Step-by-step explanation:
A) the more the workers are working the more the products are made. This is because if 10 workers make 52 products and 90 people make 452 then 100 people can make 502 products.
Key term "Reflected", which is equivalent to "inverse". This means that the graph, although remains with the same points, is "reflected". Think of a mirror.
Say y = m(x). The reflected result is y = -m(x). Or in another case, y = m(-x) will be reflected to y = m(x).
Lets break this rule further. Say your point was (a,b) which is code for (x,y). If we're looking at the x-axis, the y becomes negative. Henceforth, it becomes (x,-y) and vice versa.
In this case, we're looking at the y-axis reflected, meaning, the x-value will be NEGATIVE.
Answer is C: m(x) - 5() -x This can be seen as m(x) = m(-x) as well.