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:
Step-by-step explanation:
The given numbers and their categories are;
1) is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.
It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction
2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.
Therefore, is an irrational and real number
3) 125; The options selected are correct
4) 4·∛125 = 4 × 5 = 20; The options selected are correct
5) 7. = 710/99; Therefore, 7.
is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers
We get;