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skad [1K]
3 years ago
9

Which graph represents the solution set for the system 2x + y ≤ 3 and y − x > 2?

Mathematics
1 answer:
natka813 [3]3 years ago
4 0
You can identify the lines and their colour either by
1. the y-intercepts.  
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).

Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).

So at the point, it won't be too hard to find the correct region.

To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
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Write the normal form of the equation: 9x-2y+4=0
BartSMP [9]
The slope/y-int form would be y=9/2x+2 you have to move the x value and whole number(y-int) to the other side which would make them negative and then divide by the -2 and there you go.
4 0
3 years ago
Simplify the expression by combining like terms. -8y + 2 + 10y - 7<br> Please help
Alecsey [184]

Answer:

<u>2y - 5 (read below)</u>

Step-by-step explanation:

-8y + 10y = 2y

2 + (-7) = -5

Your expression could/would be:

2y - 5.

Hope this helps!

8 0
3 years ago
Read 2 more answers
The graph shows the locations of a ball and a player seconds after the ball is thrown. What point could represent the player cat
svp [43]

Answer: The player is catching the ball at (4,25), therefore the second option is correct.

Explanation:

It the given graph x-axis represents the time (in seconds) after throw and y-axis represents the distance from goal (in yards).

In the graph violet and orange lines represents the distance of player and ball  respectively, from the goal at different point of time.

The player will catch the ball when the distance of player and ball from the goal is same on the single point of time.

The point of time where distance of player and ball from the goal is same, is the point of intersection of both lines.

From the graph it is clearly noticed that both lines  violet and orange insects at point (4,26), therefore player is catching the ball at (4,25), therefore the second option is correct.

3 0
3 years ago
Read 2 more answers
Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an
DIA [1.3K]
The perimeter is:
 P = 2x + 2y = 80
 The area is:
 A = x * y
 The area as a function of a variable is:
 A (x) = x * (40-x)
 Rewriting we have:
 A (x) = 40x-x ^ 2
 We derive the function:
 A '(x) = 40-2x
 We equal zero and clear x:
 40-2x = 0
 2x = 40
 x = 40/2
 x = 20 feet
 The other dimension is:
 y = 40 - x
 y = 40 - 20
 y = 20 feet
 The area will be:
 A = x * y
 A = 20 * 20
 A = 400 feet ^ 2
 Answer:
 
The dimensions are:
 
x = 20 feet
 
y = 20 feet
 
The area is:
 
A = 400 feet ^ 2
5 0
3 years ago
Helppp meeee and answer pleaseeeeeeee
oee [108]

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

8 0
2 years ago
Read 2 more answers
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