Answer:
Step-by-step explanation:
That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.
The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2
Since it upside down, the formula is y = -(x - a)^2. A couple of other things are true.
a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.
Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2
That's all preliminary. The actual question is, what does the discriminate look like?
y = -4(x^2 - 2x + 1)
y = -4x^2 + 8x - 4
a = - 4
b = 8
c = - 4
sqrt(b^2 - 4ac)
sqrt(8^2 - 4(-4)(-4) )
sqrt(64 - 64) = 0
The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.
Answer:
C
Step-by-step explanation:
The triangle inequality theorem tells us that if two sides of a triangle are known (let it be side a and b), we can know the length of range of third side (side c). By:
a-b< c < a+b
So sides are given 29 and 40.
Sum is 29 + 40 = 69
Difference is 40 - 29 = 11
Hence, the third side would be BETWEEN 11 and 69
C is the correct choice.
Answer:
The answer is 7
Step-by-step explanation:
Hope this helped :)
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
b= y-intercept
b=6
m= slope
m=y2-y1/x2-x1
take 2 points from the graph
(-3,10) and (3,2)
2-10/3-(-3)
-8/6
-4/3
The one missing is the fourth choice.
As you can see, the x axis stands for the weight, and the y axis the total cost.
You can see that the point, (1, 4) definitely exists.
So basically it would be 1 pound of cheese for four dollars, since x is weight and y is total cost.
You can see the fourth choice states that it's four dollars for one pound of cheese.
Hope this helped :)
