Theory:
The standard form of set-builder notation is <span>
{ x | “x satisfies a condition” } </span>
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
<span>1st: x must be a real number</span>
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
<span>2nd: x is greater than or equal to 1</span>
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
<span>
X =
{ x | x ε R and x ≥ 1 } </span>
Answer:
A quadrilateral and parallelogram
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
<u>This relation is linear. The formula for linear function is:</u>
<u>Using to pairs of points to get the slope and y-intercept</u>
<u>Calculating the slope:</u>
- m = (64 - 60)/(1 - 0) = 4/1 = 4
- y - intercept is 60 as per point (0, 60)
<u>So the function is</u>
<h3>Part A</h3>
<h3>Part B</h3>
<h3>Part C</h3>
- Slope is the steepness of the line.
- y -intercept is the lowest score with no time spent studying
Answer:
6
Step-by-step explanation:
7=42 is 7*6
6=30 is 6*5
5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2
