Yes u are correct x is 10
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
To solve the question, use the equation y=mx+b. Since you already know the slope (m), all you need is to find the b. Plug in the x and y from the point (9,2) and m:
2=3(9)+b
2=27+b (subtract 27 on both sides)
b=-25
The equation is y=3x-25
Answer:
(-3,2)
Step-by-step explanation:
Eliminate the equal sides of each equation and combine
5x + 17 = -2x - 4
Solve
x = -3
Evaluate y when x = −
3
.
y = 2
(-3,2)
<em>hope this helps :)</em>
