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Algebra Examples
Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9
y
=
3
2
x
2
+
4
x
−
9
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
[
−
35
3
,
∞
)
Set-Builder Notation:
{
y
∣
∣
∣
y
≥
−
35
3
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
35
3
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
35
3
}
image of graph
Answer:
7 gallons were used for city driving.
Step-by-step explanation:
I am going to solve this question by a system of equations.
I am going to say that:
x is the number of gallons driven in the city.
y is the number of gallons driven in the highway.
19 gal of gas
This means that 
Carole's car averages 13.2 mi/gal in city driving and 25.3 mi/gal in highway driving. If she drove a total of 396.0 mi.
This means that 
How many of the gallons (to the nearest gallon) were used for city driving?
This is x
From the first equation, i will have
Replacing in the second equation
7 gallons were used for city driving.
Answer:
5 pages
Step-by-step explanation:
Set up a proportion:
4/48=x/60
Cross multiply=
4 x 60=240,
240/48=5
4/48=5/60
Answer:
Step-by-step explanation:
Answer: Divide Kayak budget by rental rate
Step-by-step Explanation:
As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.
He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.
Single Kayak
Budget available = $50
Rental rate = $15 per hour
Hours he can rent = 50/15
= 3.33 hours
Single Sea Kayak
Budget available = $50
Rental rate = $18 per hour
Hours he can rent = 50/18
= 2.78 hours
