Answer:
Attached is the image of the solution . cheers
-(4x+6)<2(5x+9)+2x write the solution for interval notation
1 answer:
Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .
You might be interested in
So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.
Since our touchscreen starts off at a value of 1200, that will be our a variable.
Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.
In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.
Using our info above, we can solve for y, which is the cost after x years.
In context, after 3 years the touchscreen will only be worth $506.