Select the graph of the solution. Click until the correct graph appears. |x| + 3 > 7
2 answers:
Answer:
Second graph is the correct option as the solution is and
.
Step-by-step explanation:
We are given the inequality, .
On simplifying the inequality, we have,
implies
i.e.
Since, we know,
So, we get,
and
i.e. and
Thus, the solution is the set of numbers less than -4 and greater than 4.
Hence, the second graph is the correct option.
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A. 24 miles
Explanation:
the area inside a circle is given by:
where r is the radius of the circle.
In this problem, we know the circular area:
So we can re-arrange the equation above to find r, the radius:
so, the radius of the circular area is 24 miles.
Answer:
Step-by-step explanation:
So we have the trinomial:
First, factor out a 2:
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
Replace -3x with 2x and -5x:
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
Grouping:
And we're done!