Complete question:
Which characteristic is correct for the function
a) odd
b) neither even nor odd
c) both even and odd
d) even
Answer:
a) odd
Step-by-step explanation:
Given the equation:
To test for even or odd let's perform the following:
F
Replace "x" with "-x"
Thus,
Since ≠ the equation is not even.
Also, the signs changed, the equation is considered to be odd.
I.e f(x) = -f(x)
Correct answer is option (a) odd
Answer:
441
Step-by-step explanation:
Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:
Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: ). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:
Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:
Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: ). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:
, which is equivalent to (dividing both the top and the bottom by 2) inches.
Hope this helps!
Answer:
4x + 10 = 30
Step-by-step explanation:
The four unknown pieces of rope are said to be an equal length, so each piece will be represented by x. Now there is another 10 feet of rope that is attached, and that all together equals 30 feet. The equation is:
4x + 10 = 30
4x = 20
x = 5
(I'm so sorry I can't draw a diagram for you, but I hope you will be able to using the equation shown above!)