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
.
Answer:
(3x^2 + 2)(x + 4).
Step-by-step explanation:
3x3 + 12x2 + 2x + 8
3x^2(x + 4) + 2(x + 4) The x + 4 is common to the 2 groups so we have:
(3x^2 + 2)(x + 4).
Answer:
m = 2/3
Step-by-step explanation:
The slope of the line is 2/3.
Hey there! :)
2x + 4 > 16
We're simply just trying to get x onto it's own side, so let's get rid of any numbers on the same side of it.
We can start out by subtracting both sides by 4.
2x + 4 - 4 > 16 - 4
Simplify.
2x > 12
Then, divide both sides by 2.
2x ÷ 2 > 12 ÷ 2
Simplify.
x > 6
Therefore, our answer is D. x > 6
~Hope I helped!~
Answer:
Well, one night at the hotel equals $75.
Step-by-step explanation:
All you have to do is mulitlpy the nights by $75.
The last one is wrong it should be
5 nights = $375.
Hope this helps! Bye