Answer:
Option C.
Step-by-step explanation:
By definition, a function f(x) is even if f(-x) = f(x).
We know by definition that the function sin(x) is odd and the function cos(x) is even.
With this information we can analyze each function and find out which is even.
A. The first function is not even because 5sin(x) is an odd function.
B. The second function is not even because 2tan(x) is not an even function.
C. The third function is even, because -cos(x) and are even functions.
D. The fourth function is not even because csc(x) is not an even function.
The correct answer is the option C.
Answer:
[-2,7] is the solution of inequality .
Step-by-step explanation:
Given : inequality 2 | 5 - 2x | - 3 ≤ 15
To find: solution of inequality.
Solution : We have given that 2 | 5 - 2x | - 3 ≤ 15
.
On adding 3 both sides:
2 | 5 - 2x | - 3+3 ≤ 15
+3
2 | 5 - 2x | ≤ 18.
ON dividing both side by 2 and simplify
| 5 - 2x | ≤ 9.
On applying absolute rule, if | u | ≤ a,a> then -a ≤ u≤ a
-9≤5 - 2x ≤ 9.
5 - 2x ≤ 9 , 5 - 2x ≤ -9.
- 2x ≤ 9-5
- 2x ≤ 4
On dividing by -2
x ≥ -2.
For 5 - 2x ≤ -9.
- 2x ≤ -9-5
- 2x ≤ -14
On dividing by -2
x ≤ 7
Therefore , [-2,7] is the solution of inequality .
Answer:
-11x=-66
x=6
Explanation:
-11x-12=-78
1) Add 12 to both sides.
-11x=-78+12
-11x=-66
2) Divide both sides by -11.
x=-66/-11
x=6
Hope this helps! Please leave a thanks and brainliest answer if you can :)
Answer: why
Step-by-step explanation:
30.5
10 to the 2nd power is 100
3050/100 = 30.5