Answer:
f(-x)= -f(x) so, the given function 
is Odd
Step-by-step explanation:
We need to determine if the function is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function is Even, Odd, or Neither.
As f(-x)= -f(x) so, the given function is Odd
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
10 because you know that the decimal moves one to the left if you are dividing by ten and one to the right if you are multiplying by ten.
Check your work. 0.32 divided by 10 is 0.032
Answer:
Step-by-step explanation:
3) Sin30 = 11/x
x = 11/Sin30 = 11/0.5
x = 22
Tan 30 = 11/y
y = 11/tan30 = 11/0.5774
y = 19.1
4) Sin30 = 6/x
x = 6/Sin30 = 6/0.5
x = 12
Tan 30 = 6/y
y = 6/tan30 = 6/0.5774
y = 10.39
5) Sin45 = 9√2/y
y = 9√2/Sin45 = 9√2/(√2/2) =
9√2 × 2/√2 = 18
x = 18
Tan 45 = 9√2/x
x = 9√2/Tan 45 = 9√2/1
x = 9√2
6)
Sin60 = 9/x
x = 9/Sin60 = 9/0.866
x = 10.39
Tan 60 = 9/y/2 = 18/y
1.7321 = 18/y
y = 18/1.7321
y = 10.39
Answer:
Factoring in groups is like breaking it apart piece by piece and takes more steps.
Factoring the difference of two squares takes few steps and is easier.
