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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A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is A.
<h3>What is a parallelogram?</h3>
A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the pair of opposite sides are equal and parallel. Therefore,
1.) For the first pair.
(x+8) = 15
x = 7
2.) For the second pair
(x+2)=(2x-5)
x + 2 = 2x - 5
2 + 5 = 2x - x
x = 7
(x+2) = (7+2) = 9
Since the measure of the pair of opposite sides is 15 units, the pair of the other two sides measure 9 units.
Hence, the correct option is A.
The complete question is mentioned in the below image.
Learn more about Parallelogram:
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5 and 2/3 because 51/9= 5.666666667, which .66666667 in fraction form is 2/3
First, you gotta simplify. There’s really nothing to simplify so just take it out of the parenthesis.
2x-8=2x-4
Now turn the -8 into a +8. Add it on each side.
2x=2x+8
Now turn the 2x on the right into a negative. Do the same thing you did with the 8.
Now it’s:
0 = 8
That means there’s no solution.
Hope this helped :)
Answer:
4.75
Step-by-step explanation:
