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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Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
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2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
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plug in y value to x=2y
so x=2(1)
x=2
Y is directly proportional to x and therefore takes the form y=kx where k is the constant of proportionality.
Dividing both sides by x for the given values, k becomes 18/4 = 4.5
