None of these. All of these functions are defined as ratio of trigonometric functions.
Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.
Specifically, we have:
which is undefined at
which is undefined at
which is undefined at
which is undefined at
Answer:
9 cats
Step-by-step explanation:
x = cat
y = dog
Set up equations.
x + y = 30
4.5x + 8.5y = 219
Multiply first equation by 4.5 and subtract.
4.5x + 4.5y = 135
-(4.5x + 8.5y = 219)
-4y = -84
y = 21
Substitute this y value into the first equation
x + y = 30
x + 21 = 30
x = 9
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
Answer:
c) The reduced form of the given fraction 
Step-by-step explanation:
Here, the given expression is "24 over 30".
The given expression is is equivalent to 
Now by Prime Factorization:
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
⇒ The common factors in 24 and 30 is 2 x 3 = 6
So, 
Hence the reduced form of the given fraction
