Answer:
Step-by-step explanation:
Given
Solving (a):
We have:
Express f(x) as y
Swap x and y
Add 8 to
Square both sides
Rewrite as:
Express y as:
To determine the domain, we have:
The original function is
The range of this is:
The of the function is the of the function.
<em>Hence, the domain is:</em>
Answer:
1. 3
2. 2
3. 2
4. 6
5. No solution
Step-by-step explanation:
2x+3y=8 (1)
-6x+4y=11 (2)
3(1) + (2)
6x + 9y = 24
-6x + 4y = 11
13y = 35
y = 35/13
x = -1/26
3x-y=3 (1)
-2x+2y=6 (2)
2(1) + (2)
6x - 2y = 6
-2x + 2y = 6
4x = 12
x = 3
y = 3(3) - 3 = 6
3x+4y=-10 (1)
5x-2y=18 (2)
(1) + 2(2)
3x + 4y = -10
10x - 4y = 36
13x = 26
x = 2
5x-2y=3 (1)
2x-y=0 (2)
(1) - 2(2)
5x - 2y = 3
-4x + 2y = 0
x = 3
2(3) - y = 0
y = 6
3x+2y=10 (1)
6x+4y=14 (2)
2(1) - (2)
6x + 4y = 20
6x + 4y = 14
0 = 6 is a false statement so no solution
Answer:
10 times larger
Step-by-step explanation:
Answer:
10500
Step-by-step explanation:
8 times 1000 is 8000
2 times 1000 is 2000
8000 plus 2000 plus 500 is 10500m
Answer: The temperature that separates the top 7% with the bottom 93% is 99.12 degrees.
The z-score that corresponds to 93% is about 1.48. If we write the equation for the z-score, we can solve for the missing temperature.
The equation would be:
(x - 98.2) / 0.62 = 1.48
x - 98.2 = 0.9176
x = 99.12 degrees