Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
Answer:
12 miles
Step-by-step explanation:
From the graph given :
Mike's travel :
School to Mall= 16 miles
Mall to Library = 30 miles
Total travel = 16 + 30 = 46 miles
Henry's travel :
From school to Library = Hypotenus :
Distance can be obtained using Pythagoras :
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √(30² + 16²)
Hypotenus = √1156
Hypotenus = 34 miles
Difference in Distance covered :
(46 miles - 34 miles) = 12 miles
We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.
We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.
Let represent the functions as
and
where
and
represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:

Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.
The difference function will be:


Domain of this function is [0,16] and range is [0,67.2].
The graphs are shown below.
Answer: 0
Step-by-step explanation:




Answer:
x ≠ - 5
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve : x + 5 = 0 ⇒ x = - 5 ← excluded value