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:I believe the answer is 34
Step-by-step explanation:
Answer:
x/3+y/2
Step-by-step explanation:
Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:
2x(1/6)+3y(1/6)
Then, you multiply and you would get x/3+y/2. And that would be the answer.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Once the data is entered into a spreadsheet, it is convenient to sort the table by the input values. The relation is unchanged, but it may be easier to work with that way.
The table is shown below.
Answer:
8i and -8i
Step-by-step explanation:
Move everything into the left-hand side to get a quadratic equation:
Solve for x using the quadratic formula:
The two imaginary solutions for the equation are 8i and -8i.
