Answer:
2nd number line
Step-by-step explanation:
When there is an absolute value inequality of the form |x+a| ≥ b,
We can say that the solution set (in a number line) would be:
- we take the point x = -a
- then we go b units in both directions (left and right)
- start from those 2 points and draw arrows in both directions (left & right)
Keeping these points in mind,
|x+3| ≥ 2
we start from x = -3
we go 2 units left and right, so we arrive at x = -5 and x = -1
then we draw arrows to both sides
<em>looking at the choices, </em><em>we see 2nd answer choices (graph) portrays it correctly.</em>
Answer:

Step-by-step explanation:
we know that
The total vertical distance (total miles North) traveled is equal to

Remember that


substitute


Answer:
(-2, -4)
Step-by-step explanation:
You can complete the square of the equation to get
y+(4/2)^2 = x^2+4x+(4/2)^2
y+4 = x^2 + 4x + 4
y+4 = (x+2)^2
y = (x+2)^2 - 4
This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)
Answer:
C ) She needs to save AT LEAST 20 months
Step-by-step explanation:
Half of her income each month is $250
m= months
250m ≥ 5000
m≥ 20
Answer:
The answer is A. 4+y^2/2y^2