This means that x is equal to -3 and y is equal to 8. For example, if you had f(x)=-3x-1 and plugged -3 into x, you would get the y-value of 8.
Answer:
6 Hours and 20 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.
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Answer:
C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.
Step-by-step explanation:
The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.
Answer: 2√2 - 3Explanation:The expession written properly is:
![\frac{ \sqrt{3}- \sqrt{6} }{ \sqrt{3}+ \sqrt{6} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B3%7D-%20%5Csqrt%7B6%7D%20%20%7D%7B%20%5Csqrt%7B3%7D%2B%20%5Csqrt%7B6%7D%20%7D%20)
To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.
That is, you have to multiply both numerator and denominator times the conjugate of the denominator.
The conjugate of √3+√6 is √3 - √6, so let's do it:
![\frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} + \sqrt{6} } . \frac{ \sqrt{3}- \sqrt{6} }{ \sqrt{3}- \sqrt{6} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20-%20%5Csqrt%7B6%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%2B%20%5Csqrt%7B6%7D%20%7D%20.%20%5Cfrac%7B%20%5Csqrt%7B3%7D-%20%5Csqrt%7B6%7D%20%20%7D%7B%20%5Csqrt%7B3%7D-%20%5Csqrt%7B6%7D%20%7D%20)
To help you with the solution of that expression, I will show each part.
1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =
= 3 - 2√18 + 6 = 9 - 6√2.
2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3
3) Then the resulting expression is:
9 - 6√2
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-3
Which can be further simplified, dividing by - 3
-3 + 2√2
Answer: 2√2 - 3