Dimitri rode his bike 32 miles yesterday. He rode 12 4/5 miles before lunch and the rest of the distance after lunch. How far di
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We want to graph the solution for the given inequality, the graph of it can be seen at the end of the answer.
<h3>Working with the inequality:</h3>The first thing we need to do is simplify our inequality, we start with:
-5*x > 11.5
We want to isolate x, so we need to divide by -5 in both sides, because we are using a negative number to multiply/divide, the "direction" of the inequality sign changes, so we et:
-5*x/(-5) < 11.5/(-5)
x < -2.3
So the solutions are all of these values smaller than -2.3, this will be represented with an open dot at -2.3, and a shaded line to the left of that point, an example of the graph can be seen below.
If you want to learn more about inequalities, you can read:
Answer:
f(x)=-1/2x+3
Step-by-step explanation:
In this problem, the student is running a 3-kilometer race.
This means that the total length of the race is 3 km.
We also know that the student runs 1 kilometer every 2 minutes. For a uniform motion, the speed is given by
where in this case,
d = 1 km is the distance
t = 2 min is the time
So the speed is
We can therefore write the distance covered by the student (from the starting line) after x minutes as
However, here we want to write an expression for the distance of the student from the finish line.
Since the distance from the finish line at x = 0 is 3, therefore the distance from the finish line after x minutes is:
d = 3 - y'
So
which corresponds to the option:
f(x)=-1/2x+3