Answer:
y = -2(x + 1)^2 + 8
Step-by-step explanation:
The equation of a parabola can be written in the form;
y = a(x-h)^2 + k
where a is the multiplier (h,k) is the vertex
so h = -1 and k = 8
Plug in these values
y = a(x + 1)^2 + 8
So to get the value of a, we use the point where the parabola passes through which is the point (1,0)
Simply substitute the values of x and y
0 = a(1 + 1)^2 + 8
0 = a(2)^2 + 8
-8 = 4a
a = -8/4
a = -2
So therefore the equation of the parabola is ;
y = -2(x + 1)^2 + 8
Let n be a number of balls: n = 14
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
The only two points that I can clearly see are (0,2) and (5,3).
The slope is (y2-y1)/(x2-x1), in this case:
m=(3-2)/(5-0)=1/5
So the slope of the line is 1/5
The equation<span> of a </span>line<span> is typically written as </span>y<span>=mx+b where m is the </span>slope<span> and b is the </span>y<span>-intercept. If you a </span>point<span> that a </span>line passes through<span>, and its </span>slope<span>, this page will show you how to find the </span>equation<span> of </span>the line<span>. Fill the </span>point<span> that </span>the line passes through... ( , ) Example: (3,2<span>) ...and the </span>slope<span> of </span>the line. m= Example: m=<span>3, or ... hope this helpps!!!!</span>
