Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
Option C (in the figure) is correct.
Step-by-step explanation:
We need to find (f.g)(x)
Given that 
Now finding (f.g)(x)


So, 
Option C (in the figure) is correct.
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Keywords: Composite function
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ANSWER
8 minutes
EXPLANATION
We know that the cost of using the internet in dollars is given by,

Where x is the number of minutes spent on the internet.
In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,

And divide both sides by 3,

So, for y = 6, x is,

Hence, $6 will buy 8 minutes.
|____|____|____|____|____|____|____|____|
0 1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16
| _________________| _________________|
0 1/4 2/4
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)