Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
Answer:
Option A and C is correct.
Step-by-step explanation:
Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.
For a 20% discount,
Given:
Initial prices = $ d
Discounted price = % discount × original/initial cost
= 20/100 × d
= 0.2 × d
Selling price = original cost - discounted price
= d - 0.2d
= 0.8 × d
= 0.8d
Answer:

Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,




When automobile is 30 miles past the intersection,
For x = 30

Since 
Therefore,


X < -40.5
To find this, here are the steps:
Combine like terms like so:
-4x - 49 > 113
Then, begin to isolate the variable x by adding 49 to both sides leaving you with:
-4x > 162
Then divide by negative four. Don’t forget, dividing by negatives switches the way the sign points so your final product will be:
x < -40.5
Hope this helps!