The value a = 4 will always yield a correct answer.
We know this by solving for a. If we do this, we will get the number needed.
a(x + 3) < 5x + 15 - x -----> simplify like terms
a(x + 3) < 4x + 15 -----> divide by x + 3
a < 4 + 3/(x + 3)
Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

Answer
- g(x) = x+4
- Therefore the value of k is 4.
Answer:
5+0.80x < or equal to 13
Step-by-step explanation:
5+0.80x < or equal to 13
5 would be your initial fee so that is not going to change. 0.80 is how much you pay for each ride, so that would change depending on how many rides you ride. This added together has to equal greater to or equal than 13, which is how much she has.
Answer:
3. 6
Step-by-step explanation:
X - y = 4 ( Equation 1 )
X + y =8 ( Equation 2 )
equation 1 + equation 2
; 2x = 12
x = 12÷2
x =6
hope it helps ☺️