Answer:
x ≤ 7 => 
+ 
x ≤ 8 => -
+ 
≥ -
x ≤ -5 => - 
- 
x ≤ -6 => 
+ 105 ≤ 96
Step-by-step explanation:
- + ≥ -
+ ≥ / *10
2 + 6 ≥ x
8 ≥ x
- - / *6
- 100x - 11 ≥ 489
-500 ≥ 100x
-5 ≥ x
+ 105 ≤ 96
≤ 96 - 105 / * 
x ≤ -6
+ /*18
-13x + 10 ≥ - 81
-13x ≥ -91 /:-13
x ≥ 7
Answer:
x = 1
Step-by-step explanation:
1. Add 3x to both sides of the problem
- 4x + 3x - 7 = -3x + 3x
- -3x + 3x cancels out and leaves us with zero
- 7x - 7 = 0
2. Add 7 to both sides
- 7x (- 7 + 7) = 0 + 7
- -7 + 7 cancels out
- 7x = 7
3. Divide both sides by 7
To make sure our answer is correct we can plug in 1 to x in the problem
- 4(1) - 7 = -3(1)
- 4 - 7 = -3 : True
Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.
HJ = (KL + NM)/2
2(HJ) = KL + nm
2(5x + 2) = 4x + 1 + 27
10x + 4 = 4x + 28
6x = 24
x = 4
KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17
Answer: KL = 17
The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
Learn more about equation of linear function on:
brainly.com/question/15602982
