Answer:
y = 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line
m = 
=
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
Answer:
-6 ≤ x ≤ 16
Step-by-step explanation:
First, apply absolute value rule:
x - 5 ≤ 11 and x - 5 ≥ -11
Then, we add 5 on both sides with both inequalities:
x ≤ 16 and x ≥ -6
Finally, combine the inequalities:
-6 ≤ x ≤ 16
And we're done ^^
<h3>
Answer: Choice D</h3>
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
- The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
- The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
- The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
- The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.
Answer:
Translation 1 unit left
Step-by-step explanation:
we have
f(x)=x
g(x)=(x+1)
we know that
The rule of the transformation of f(x) to g(x) is equal to
f(x) ------> g(x)
(x,y) -----> (x-1,y)
That means----> The translation is 1 unit to the left
Answer:
boonpono
Step-by-step explanation:
