Solve: |2x + 3| -1 < 4
2 answers:
Add 1
|2x +3| < 5
Unfold
-5 < 2x +3 < 5
Subtract 3
-8 < 2x < 2
Divide by 2
-4 < x < 1
The solution is
-4 < x < 1
_____
If you subtract 4 from both sides, you get an expression that compares to zero. Most graphing calculators will show you the zero-crossings, so you can easily find the values of x where this is true.
|2x +3| < 5
Unfold
-5 < 2x +3 < 5
Subtract 3
-8 < 2x < 2
Divide by 2
-4 < x < 1
The solution is
-4 < x < 1
_____
If you subtract 4 from both sides, you get an expression that compares to zero. Most graphing calculators will show you the zero-crossings, so you can easily find the values of x where this is true.
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Answer:
D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)
Step-by-step explanation:
I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points
<h2>Answer:</h2><h2>The theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots = 
</h2>
Step-by-step explanation:
The number of students participated = 30
Total audience = 150
By probability , to find the solution =
where n(E) is the number of favorable outcomes,
n(S) is the number of total outcomes.
n(S) is the number of ways any 8 students can by picked from the audience=
n(E) is the probability of picking four students from our school and five students from another school.
n(E) = =
=
=