Which regressions equation best fits these data
2 answers:
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Inequalities are used to show the relationship between unequal expressions
- <em>The set notation of (5) and (6) are: </em>
<em> and </em>
<em>.</em>
- <em>See attachmen</em>t for the graphs
The following should be notated when plotting the graph of an inequality
- < and > are represented with open circles, while
and
are represented with closed circles
- The arrows of
and
point to the left, while the arrows of
and
So, we have:
Rewrite as:
The graph of will point to the right, and it will use an open circle
Split the inequality:
and
<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>
<em />
Hence. cannot be represented on a graph
Split the inequality:
and
means that -4 is less than x or x is greater than -4.
So, we have:
and
If and
, then we make use of
because it contains more values of x.
The graph of will point to the right, and it will use an open circle
Read more about inequalities at:
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
=y
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
Answer:
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is:
The order of the sides in the ratio above is
short leg : long leg : hypotenuse
The long leg is sqrt(3) times the length of the short leg.
The hypotenuse is twice the length of the short leg.