What ratio is equivalent to 9:6 ? 12:8 7:4 3:1 15:10
2 answers:
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The asymptote cannot be x= because x can be any number. If you think about it, you can take a number to any exponent.
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
Answer:
Step-by-step explanation:
Let us start by isolating x for dx = x + 9.
dx - x = x + 9 - x > dx - x = 9.
Factor out the common term of x > x(d - 1) = 9.
Now divide both sides by d - 1 > . Go ahead and simplify.
.
Now, .
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Group the like terms... .
>
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Now for .
.
Now for .
Thus we then get .
Now we want to combine fractions. .
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Expand .
.
Therefore .
Hope this helps!