Step-by-step explanation:
15^2-12^2
225-144
81
√81=9
21÷9=2.3333(recurring)
2.33333×15=x
X=34.999
or X=35 to 1 d.p
32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
Therefore (-5, 3) is also on the graph.
For an odd function, f(-x) = -f(x). Given f(5) = 3, we know f(-5) = -3.
Therefore (-5, -3) is also on the graph.
33. f(-x) = -f(x). The function is odd.
34. f(-x) = x/(x-1) ≠ -f(x) ≠ f(x). The function is neither even nor odd.
35. f(-x) = f(x). The function is even.
Answer:
y = 2x - 11
Step-by-step explanation:
The "rate of change" is the coefficient of x when the function is written in this form:
y = mx + b
That coefficient will be positive when the function has a positive rate of change.
y = 2x - 11 . . . has a positive rate of change
Answer:
4) 12 different calzones
5) 15 ways
6) 8 outfits
Step-by-step explanation:
When counting the total number of combinations like these situations, multiply the number of choices of each type together
For 4: 3 sizes, times 4 fillings, is 12 different calzones
For a small calzone, there are 4 diffferent fillings to choose from, making 4 calzones,
For a medium calzone, there are 4 differnt fillings, making 4 more for a total of 8,
For a large calzone, there are 4 different fillings, making 4 more for a total of 12
The same logic applies to the other problems