Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
Yes
Step-by-step explanation:
The answer would be 3.1623
Answer:A
Step-by-step explanation:
Answer: $29.10
Step-by-step explanation:
Shoes:
10% of 24 is 2.4
The shoes cost 21.60 with the 10% discount and before tax.
Belt:
25% of 10 is 2.5
The belt cost $7.50 with the 25% discount and before tax.
Total:
You still owe 29.10 for the belt and shoes before tax.
You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)
