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.
The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.
<h3>What is the Volume of a
Rectangular Prism?</h3>
A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).
We are given the following dimensions of the rectangular-shaped box:
Let the height be represented as x
Height of the rectangular-shaped box = x in.
Length of the rectangular-shaped box = (x - 3) in.
Width of the rectangular-shaped box = (x + 4) in.
Plug in the values into the volume formula:
Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)
Expand (x - 3)(x)(x + 4)
Volume of the rectangular-shaped box = x³ + x² - 12x.
Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.
Learn more about the volume of rectangular prism on:
brainly.com/question/12917973
#SPJ1
Answer:
16 degrees
Step-by-step explanation:
62= 46+x
16=x
I had a problem like this but it was different but what i divided was 216 divided by 12 and got 18 and 216 divided by 6 and got 36
B the phrasing of the question suggest a bias against classical music
that is the answer because they are assuming that no teens like classic music, which is just an opinion, which is bias :)
