Answer:
Step-by-step explanation:
Given
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See attachment for grid
Solving (a): The coordinates of K
The parallelogram has the following diagonals: IJ and HK
Diagonals bisect one another. So:
Midpoint of IJ = Midpoint of HK
This gives:
Multiply through by 2
By comparison:
Solve for x and y
So, the coordinates of k is:
The length of JK is calculated using distance (d) formula
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So:
Hence:
Answer: 10+12+6+4=32
100/32=3.125
12x3.125= 37.5 percent of the people that were surveyed chose piano.
The answer is going to be 2
Answer:
The answer to your question is below
Step-by-step explanation:
f(x) = 27/x² - 16x
Evaluate the function when x:
x f(x)
-4 27/(-4)² - 16(-4) = 27/16 + 64 = 65.69
-3 27/(-3)² - 16(-3) = 27/9 + 48 = 51
- 2 27/(-2)² - 16(-2) = 27/4 + 32 = 38.75
- 1 27/(-1)² - 16(-1) = 27/1 + 64 = 91
1 27/(1)² - 16(1) = 27/1 - 16 = 11
2 27/(2)² - 16(2) = 27/4 - 32 = -25.25
3 27/(3)² - 16(3) = 27/9 - 48 = -45
See the graph below
Answer:
B
Step-by-step explanation:
a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.
b is a quadratic The highest power is 2 on the base (x) to become x^2. That is how a quadratic is defined.
c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.
d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.
