Answer:
9) v= -12
10) n= -7
Step-by-step explanation:
9) v - 15 = -27
Add 15 from both sides
i.e. v - 15 + 15 = -27 + 15
v = -12
10) n + 16 = 9
Subtract 16 from both sides
i.e. n + 16 - 16 = 9 - 16
n = -7
Hope this helps!!!
Given:
The function is:
To find:
The steps of finding the inverse function 
.
Solution:
We have,
The steps of finding the inverse function are:
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Taking square on both sides, we get
Step 4: Adding 21 on both sides, we get
Step 5: Divide both sides by 7.
Step 6: Substitute 
.
, where 
.
Therefore, the inverse of the given function is 
and the arrangement of steps is shown above.
Let the acute angle be 2x.
Its complement is 90 - 2x.
It is given that this complementary angle is less than each of the bisected angle.
Therefore, 90 - 2x < x
90 < 3x
or, x > 30.
2x > 60
Therefore, the statement is true for all angles that are greater than 60 degrees.
Answer:
t ≤ 210°
Step-by-step explanation:
If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).
Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°
Answer:
Explanation:
Let p denote the statement "It snows", and q denote tthe statement "I can go snowboarding"
The we need to draw a table for
(p => q)v(-p => q)
p q -p -q p=>q -p => -q (p => q)v(-p => q)
T T F F T T T
T F F T F T T
F T T F T F T
F F T T T T T
The argument is valid, since the last column has truth all through.
