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:
x=6
Step-by-step explanation:
first you subtract 9 from 27, getting 18.
then you divide 18 by 3, which gives you 6.
therefore, X=6
Answer:
6 notebooks for 5.25 is a BETTER BUY.
Step-by-step explanation:
Here, according to the question:
A) 8 notebooks sells for 7.15
So, here cost of 1 notebook =
⇒Here the cost of 1 notebook = $0.893
B) 6 notebooks sells for 5.25
So, here cost of 1 notebook =
⇒Here the cost of 1 notebook = $0.875
Now, as we can see $0.893 > $0.875
⇒ the cost of 1 notebook is MORE if we buy 8 notebooks sells for 7.15.
Hence, 6 notebooks for 5.25 is a BETTER BUY.
Answer:
$8,000 to the nearest hundred.
Step-by-step explanation:
A depreciation of 15% means that after each year the car is worth 0.85 of it's value the previous year.
So after 7 years the values of the car is 25,000(0.85)^7
= 8,014
Answer:
200.5 km
Step-by-step explanation:
So we can break up this irregular polygon into many smaller easier to calculate kind of polygons like rectangle, or triangles.
We can break up this figure into 4 smaller ones:
3 rectangles:
a) a 23 by 5 size
b) a 12 by 4 size
c) a 4 by 5 size
1 triangle
a) 7 by 5 size
You find the area and add them up to get 200.5 km^2
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