Answer:
<h2>
y = x² - 1</h2>
Step-by-step explanation:
y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula
If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:
(1, 0): 1² - 1 = 0
(2, 3): 2² - 1 = 4 - 1 = 3
(3, 8): 3² - 1 = 9 - 1 = 8
(4, 15): 4² - 1 = 16 - 1 = 15
So for any x:
(x, y) y = x² - 1
Answer:
vvvvvcvv
Step-by-step explanation:
Note that if

, then

, and so we can collapse the system of ODEs into a linear ODE:


which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

so that the characteristic solution is

Now let's suppose the particular solution is

. Then

and so

Thus the general solution for

is

and you can find the solution

by simply differentiating

.
Answer:
<em>C. 6 ⋅ 9 + 1 </em>
Step-by-step explanation:
Start with the multiplication:
"one more than the product of six and nine"
6 ⋅ 9
Now take care of the addition by adding 1 to the product.
"one more than the product of six and nine"
6 ⋅ 9 + 1
Answer: C. 6 ⋅ 9 + 1
The answer is 3/9 or 1/3 in its simplest form