Use the drawing tool(s) to form the correct answer on the provided number line.
2 answers:
Answer:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
Answer:
Step-by-step explanation:
In general, solutions to absolute value inequalities, as in this case, take two forms:
If | x | <a, then x<a or x> -a.
If | x |> a, then x> a or x <-a.
In this case, you have |x − 70| ≤ 4. So, you have two cases:
x − 70 ≤ 4 and x − 70 ≥ -4
Solving both equations:
x − 70 ≤ 4
x ≤ 4 + 70
x≤ 74
and
x - 70 ≥ -4
x ≥ -4+70
x ≥ 66
It is convenient to graph both solutions, as shown in the attached image .
The intersection between both conditions is the solution to the inequality (that is, in the image it is shown as the interval painted by both colors). In this case, the solution is 66≤x≤74
This indicates that Eric can drive within this speed range.
The range of speeds Eric would not drive at under the given conditions is x≤66 and x≥74, as shown in the other image.
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Answer:
The graph is constant in the interval [4,6]
Step-by-step explanation:
We are given that,
Taylor dropped a rubber ball from a height of 8 feet.
So, at time t= 0 sec, the ball is being thrown.
Now, the next events follows as below:
1. After a second, the ball hits the ground.
2. It bounces up to 5 feet in the next second.
3. The ball again hits the ground in the next second.
4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.
So, we get the figure given below, we see that,
The graph is constant in the interval [4,6].
