Answer:
sorry but I don't know the answer
Explained the mistake and correct answer in photo.
The sum of 14 and a number is 14+x
we know that this equals 17, so: 14+x=17.
Let's substract 14 from both sides:
x=17-14
x=3
so the number is 3.
we have the inequality
![\lvert5x+4\rvert\leq10](https://tex.z-dn.net/?f=%5Clvert5x%2B4%5Crvert%5Cleq10)
step 1
Find out the first solution (positive case)
![\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%2B%285x%2B4%29%5Cleq10%20%5C%5C%205x%5Cleq10-4%20%5C%5C%205x%5Cleq6%20%5C%5C%20x%5Cleq%5Cfrac%7B6%7D%7B5%7D%20%5C%5C%20x%5Cleq1.20%20%5Cend%7Bgathered%7D)
The first solution is all real numbers less than or equal to 1.20
Interval (-infinite,1.20]
step 2
Find out the second solution (negative case)
![-(5x+4)\leq10](https://tex.z-dn.net/?f=-%285x%2B4%29%5Cleq10)
Multiply by -1 both sides
![\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%285x%2B4%29%5Cge-10%20%5C%5C%205x%5Cge-10-4%20%5C%5C%205x%5Cge-14%20%5C%5C%20x%5Cge-%5Cfrac%7B14%7D%7B5%7D%20%5C%5C%20x%5Cge-2.8%20%5Cend%7Bgathered%7D)
The second solution is all real numbers greater than or equal to -2.8
the interval [-2.8, infinite)
step 3
Find out the solution to the given inequality
The solution is
[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]
the solution is the interval [-2.8,1.20]
see the attached figure to better understand the problem
Answer:
80%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((36 - 20) / 20) * 100 = 80 %