Answer:
In inequality notation:
Domain: -1 ≤ x ≤ 3
Range: -4 ≤ x ≤ 0
In set-builder notation:
Domain: {x | -1 ≤ x ≤ 3 }
Range: {y | -4 ≤ x ≤ 0 }
In interval notation:
Domain: [-1, 3]
Range: [-4, 0]
Step-by-step explanation:
The domain is all the x-values of a relation.
The range is all the y-values of a relation.
In this example, we have an equation of a circle.
To find the domain of a relation, think about all the x-values the relation can be. In this example, the x-values of the relation start at the -1 line and end at the 3 line. The same can be said for the range, for the y-values of the relation start at the -4 line and end at the 0 line.
But what should our notation be? There are three ways to notate domain and range.
Inequality notation is the first notation you learn when dealing with problems like these. You would use an inequality to describe the values of x and y.
In inequality notation:
Domain: -1 ≤ x ≤ 3
Range: -4 ≤ x ≤ 0
Set-builder notation is VERY similar to inequality notation except for the fact that it has brackets and the variable in question.
In set-builder notation:
Domain: {x | -1 ≤ x ≤ 3 }
Range: {y | -4 ≤ x ≤ 0 }
Interval notation is another way of identifying domain and range. It is the idea of using the number lines of the inequalities of the domain and range, just in algebriac form. Note that [ and ] represent ≤ and ≥, while ( and ) represent < and >.
In interval notation:
Domain: [-1, 3]
Range: [-4, 0]
Answer:
<h2><u>
X= 1</u></h2>
Step-by-step explanation:
<em>y = 5 - 3x</em>
<em>5x - 4y = -3</em>
you substitute for y since you know what y equals.
so, it will then be
5x -4(5 -3x) = -3
you then multiply -4 by everything in the parenthesis
so then it will be
5x - 20 + 12x = -3
Then combine like terms
5x + 12x = 17x
then the new equation is
17x -20 = -3
the next step is to and 20 to both sides since it is negative you do the opposite.
17x - 20 = -3
<u> + 20 +20</u>
17x = 17 divide 17 by both sides sice 17 is being multiplied by x you do the opposite and divide and you get 1.
<h2><u>
so, X = 1</u></h2>
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
Answer:
Step-by-step explanation:
Undefined.
225 miles / 45 miles/hr = 5hr
