Answer:
x = - 1
Step-by-step explanation:
Given
- 2(bx - 5) = 16 ← substitute b = 3
- 2(3x - 5) = 16 ( divide both sides by - 2 )
3x - 5 = - 8 ( add 5 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
Answer:
20%
Step-by-step explanation:
12/15 = .8
subtract from 1
gives you .2
convert to a percentage
.2 = 20%
Answer:
The area of the table after it is cut is 12 or 36 because
Step-by-step explanation:
6 times 2= 12 and 6 times 6= 36 so year
For this case we have that the point-slope equation of a line is given by:
Where:
m: It is the slope of the line
It is a point through which the line passes
In this case we have to:
Substituting in the equation we have:
Answer:
We just need to replace the value of the slope
