SOLUTION
Write out the equation
To solve this system of equation, the aprropriate method will be substitution
Substitute the expression for y into the second equation for y, we have
Expand the paranthesis we have
Divide both sides by 4, we have
Since the value of x has been obtained, we substitute into the first equation
Therefore
x = -3, y= -4
+ <span>The vertex of a parabola is (3,2),
that means the parabola's equation is y=a(x-3)</span>²+2
+ <span>A second point on the parabola is (1,5) and we replace x=1 and y=5. We have:
5</span>=a(1-3)<span>²+2 , so we have 4a=5-2 or a=3/4
So the equation is y=3/4 (x-3)</span>²+2
And by checking we have the point (5;5) is on the parabola
Have fun
Answer:
y = 3/4x - 3
Step-by-step explanation:
If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):
y = mx + b
To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:
-3x + 4y = 4
= 4y = 3x + 4
= y = 3/4x + 1
Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:
y = 3/4x + b
At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:
using (4, 0) and y = 3/4x + b,
(0) = 3/4(4) + b
0 = 3 + b
b = -3
So, that means that the equation for the line is:
y = 3/4x - 3
You would add them all together and then divide the answer by how many numbers are there in this case there are 6 so you would all all 6 numbers then divide by 6
So all the numbers added together is 12 so then divide 12 and 6
the mean would be 6
