Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.
He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.
He then combined the numerator exponents. Exponent rules say that 
, so he should have ended up with 
, which he did. This is correct.
Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have 
, it equals 
.
So the final answer should have been 
Hope this helped!
y = -(1/2) sqrt(x + 3) Interchange the x and y
x = -(1/2) sqrt(y + 3) multiply through by - 2
-2x = sqrt(y + 3) Square both sides.
(-2x)^2 = (sqrt(y + 3))^2
4x^2 = y + 3 Subtract 3 from both sides.
y = 4x^2 - 3
The usual rule is to interchange the domain and range of the original equation with the inverse. The range of the original equation is 0 => y > -infinity.
If that is the case, then the domain of the inverse is 0<=x. The graph was revised and provided by Mathmate. It is the correct way to represent this function and it's inverse Including the fact that x<=0. That restriction is very important. The line is x = y and the graphs should reflect around that line.
<h3>
Answer: Choice D</h3>
Explanation:
Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.
Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6
Therefore the vector is 
which is in a column vector format. A row vector would have the numbers listed horizontally.
Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.
Answer:
False
Step-by-step explanation:
Since the b value (the value inside the parentheses) is less than 1, it represents exponential decay.
