Yo sup??
it's given that (1,5) lies on g(x)
so just plug in x=1 and see which equation given g(x)=5
You will find that g(x)=5x² is the solution
Hence the correct answer is option A
Hope this helps
1/3 x (2p+9)
That what I got
Answer:
No
Step-by-step explanation:
15/20 is reduced to 3/4. Not equal to 4/5
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
Answer:
½
Step-by-step explanation:
cot(2x) = 1/(tan(2x))
csc(x) = 1/(sin(x))
cot(2x)/csc(x) = sin(x)/tan(2x)
As x --> 0 this fraction is 0/0 which is an indeterminate form.
Using L'Hopital
Derivatives:
sin(x) ---> cos(x)
tan(2x) ---> 2sec²(2x)
cos(x)/(2sec²(2x))
= ½ as x --> 0