The answer to this would be x = 20
Answer:
3rd option
Step-by-step explanation:
substitute x = f(x) into g(x)
g(f(x))
= g(x² + 2)
= 4(x² + 2) - 1
= 4x² + 8 - 1
= 4x² + 7
Short Answer A
Comment
It's a good thing that the domain is confined or the graph is. That function is undefined if x < - 3
At exactly x = - 3, f(x) = 0 and that's your starting point.
So look what happens to this graph. If x = 0, f(0) = y = 3. So we are starting to see that as x get's larger so does f(x). The graph tells us that x = 0 is bigger than x = - 3.
Let's keep on plugging things in.
As x increases to 5, f(5) = 5. x = 5 is larger than x = 0, and f(5) > 3.
One more and then we'll start drawing conclusions. If x = 9 then f(9) = y = 6.
x = 9 is larger than x = 5. f(9) = 6 is just larger than f(5) which is 5
OK I think we should be ready to look at answers. There's nothing there that makes the answer anything but a. Let's find out what the problem is with the rest of the choices.
B
The problem with B is that as x increases, f(x) does not decrease. We didn't find one example of that. So B is wrong.
C
C has exactly the same problem as B.
D
The second statement in D is incorrect. As x increases f(x) never decreases. No example showed that.
The answer is A <<<< Answer.
I assume that you meant RS and ST are segments of RT. If that is true then:
RS+ST=RT, using the values for these given...
8y+4+4y+8=36 combine like terms on left side
12y+12=36 subtract 12 from both sides
12y=24 divide both sides by 12
y=2
Answer:
21
Step-by-step explanation:
Of means multiply and since we want an estimate we can round 72 to 70
30% * 70
.30 * 70
21