Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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70 x 100 = 7,000
Therefore, 70 hundred is equal to 7 thousands.
Answer:
y = 3/5x + 6
Step-by-step explanation:
When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given point coordinates, this is ...
y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0
y = 3/5(x +10)
y = (3/5)x + 6
Answer:
12
Step-by-step explanation:
