The temperature outside dropped 13°F in seven hours. The final temperature was -2°f there tonight what was the starting temperat
2 answers:
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Answer:
(a) Set of rational numbers
(b)
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
In the given options (a) to (d), only
is not close under addition because:
is irrational while
is rational
<em>In other words, they belong to different set</em>
Answer:
y+3=2(x-1)
Step-by-step explanation:
Point-slope form is . In order to write a linear equation using this form, the
,
and
must be substituted by real numbers.
The represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or
, in which
represents the slope. We can see that the
is in place of that
, therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.
The and
represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the
and -3 in place of the
.
Substituting for those three values will give you an equation like this, therefore it is the answer: