Answer: Its in the pic below
Step-by-step explanation: Hope this helps have a brilliant day- Lily ^_^
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
PQ = 134.9 feet
Step-by-step explanation:
sin 46 = 97/PQ
0.7193 = 97/PQ
PQ = 134.85 feet
-2x + xy = 30.....when y = 8
-2x + 8x = 30
6x = 30
x = 30/6
x = 5 <==
Answer:
Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.
Step-by-step explanation:
We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.
Let us find amount of fuel used by autos by dividing the total distance by their mileage.






Let us find the difference of fuel used by both autos.


Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces
pounds of carbon.
Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.