In mathematics, a constant function is one defined in
which a function whose output value (y) is the same for every value of the
input variable (x). Therefore this means that whatever is the value for x, the
value of y would always be the same. Hence we can say that the function is a
straight horizontal line in a Cartesian plane.
Since the value of y does not change, and the average rate
of change has the formula:
average rate of change = (y2 – y1) / (x2 – x1)
So y2 – y1 = 0 therefore average rate of change is also
zero.
Hence to complete the sentence:
For a constant function, the y-coordinate is <u>the same</u> for
every pair of points selected, so the average rate of change always has a value
equal to <u>zero</u>.
Answer:
Step-by-step explanation:
Area = length * width
length: x + 3
width: x - 5
A = (x + 3)(x - 5)
Simplify (x + 3)(x - 5) using the FOIL method:
1. First numbers: multiply the first number of each binomial together--x*x = x%5E2
2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x
3. Inner numbers: multiply the inner number of each binomial--3*x = 3x
4. Last numbers: multiply the last number of each binomial--3*-5 = -15
==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15
Therefore, A = x%5E2+-+2x+-+15
Answer:
1/3 of the kids are boys
Step-by-step explanation:
Since there are 9 kids total and 3 boys, 3 out of 9 kids are boys. We can turn this statement into a fraction like so:
3/9
Now we need to simplify. In order to do so, we need to find a number that goes into both the numerator and denominator. Well, 3 goes into 3 one time and 3 goes into 9 three times. Now we can simplify the fraction like this:
1/3
So, 1/3 of the kids are boys.
Hope this helped! Let me know if you have any more questions! :)
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More sour juices have a higher PH because of the acid level in them.
