Please explain if you can thanks X
1 answer:
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Answer:
The number is = 16
Step-by-step explanation:
Given:
Twice the sum of a number and 2 is equal to three times the difference of the number and 4.
To find the number.
Solution:
Let the number be =
The equation can be now written as:
Solving for
Using distribution:
Adding 12 both sides.
subtracting from both sides.
∴
Thus, the number is = 16
System:
y ≤ -x + 4
y >
x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
y ≤ -x + 4
y >
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.