Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
<em>2 solutions</em>
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
<em>Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2</em>
They are not in proportion, since its 6:9 round it down (2:3) so pretend the 6 are apples and the 9 are oranges
Every 2 apples there are 3 oranges
So having 9 apples what is that?
2 x ? = 9
2 x 4.5 = 9
So if you want to keep 2:3 you have you times the oranges by 4.5 aswell!
3 x 4.5 = 13.5
So since it is 9:12 not 9:13.5 they are not in proportion
Answer:
average acceleration a=change in velocity / time it took to get to velocity
a=(45-0)mph / 2s = 22.5 mph/hr/s
Step-by-step explanation:
