Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
we have the points (2,14) and (4,28)
Find out the constant of proportionality k
For (2,14) ----> 
For (4,28) ----> 
so
the value of
therefore
The equation is
Answer:
Interest rate ≈ 3.48%
Step-by-step explanation:
Answer:
The sweaters cost $35 each.
Step-by-step explanation:
The skirt was $20, so you would subtract 20 from 160. that equals 140. Then you would divide 140 by 4. that would equal 35. So the answer is $35.
Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>
Step-by-step explanation:
We know

for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15
Let x be the number of days.
If Ashley posts 17 status updates each day, then after x days Ashley posts 17x status updates.
If Roberto posts 21 status updates each day, then after x days Roberto posts 21x status updates.
Part A. The combined number of posts for Ashley and Roberto after x days is:
17x+21x.
Part B. The difference between number of posts for Ashley and Roberto after x days is:
21x-17x.