The ordered pair which makes both inequalities true is: D. (3, 0).
<h3>How to determine ordered pair?</h3>
In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.
In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:
At (0, 0), we have:
y > -2x + 3
0 > -2(0) + 3
0 > 3 (false).
y < x – 2
0 < 0 - 2
0 < -2 (false)
At (0, -1), we have:
y > -2x + 3
-1 > -2(0) + 3
-1 > 3 (false).
y < x – 2
-1 < 0 - 2
-1 < -2 (false)
At (1, 1), we have:
y > -2x + 3
1 > -2(1) + 3
1 > -1 (true).
y < x – 2
1 < 1 - 2
1 < -1 (false)
At (3, 0), we have:
y > -2x + 3
0 > -2(3) + 3
0 > -3 (true).
y < x – 2
0 < 3 - 2
0 < 1 (true).
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Answer: 20
let the number be x
1/4 x = 5
x=5*4
x=20
Perpendicular = opposite sign and reciprocal slope
Make equation y= mx + b
3x + 4y = 24
4y = -3x + 24
y = -3/4x + 6
Now make slope perpendicular
Slope = 4/3
The answer would be B.
Y=2(x+3)^2+2
y=2(x^2+6x+9)+2
y=2x^2+12x+20
dy/dx=4x+12
The graph is decreasing when dy/dx, which is velocity, is less than zero so:
dy/dx<0 when:
4x+12<0
4x<-12
x<-3
So the graph is decreasing from x=(-oo, -3)
Answer:
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
Step-by-step explanation:
Given statement is:
"difference of two variables x and y is 7"
This can be mathematically written as:
To solve this we have to put y = 1 and y = 3
Now,
Putting y = 1 in the equation
Putting y = 3 in the equation
Ordered pairs are of the form (x,y)
Hence,
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
