Answer:
g(x) = x + 10
Step-by-step explanation:
adding a number after x shifts it up b units
subtracting shifts it down
The best information that describes your routes is the second route was steeper than your first, and the second route was higher up the mountain.
<h3>What is the slope of a linear equation?</h3>
The slope of a linear equation is the change in the rise over the run. So, the slope of a linear equation shows that the larger the slope, the steeper the line becomes.
From the given information:
y = 2x + 4 --- (1)
y = 4x + 1 --- (2)
Using the slope-intercept formula:
y = mx + b
From the first equation, the slope is 2 and in the second equation, the slope is 4.
Therefore, we can conclude that the second route was steeper than your first, and the second route was higher up the mountain.
Learn more about the slope of a linear equation here:
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Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor
Answer:
<em>The sequence is geometric.</em>
Step-by-step explanation:
In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.
Given sequence is: 50, -50, 50, -50,.................
Lets assume, the terms as 
<em><u>Checking for common difference:</u></em>

As there is no common difference, so it's not an arithmetic sequence.
<u><em>Checking for common ratio</em></u>

As there is a common ratio, so it's a geometric sequence.
Answer:
Move each point 2 left then 3 up then connect the dots
Step-by-step explanation: