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jimthompson5910 (jim_thompson5910):
12 times 2 = ???
OpenStudy (anonymous):
24
jimthompson5910 (jim_thompson5910):
that is your answer because the two negatives will cancel out
OpenStudy (anonymous):
i forgot about that thanks
jimthompson5910 (jim_thompson5910):
np
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OpenStudy (anonymous):
Evaluate -3 - 9 please
OpenStudy (anonymous):
-12?
jimthompson5910 (jim_thompson5910):
when subtracting 2 negative numbers, you add the values themselves (ignore the signs) and you make the result negative
jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
-3 - 9 = -12
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OpenStudy (anonymous):
this is confusing Evaluate -2 · -5
jimthompson5910 (jim_thompson5910):
do the same thing as we did in -12(-2)
OpenStudy (anonymous):
is it 10?
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
wow lol seems easy
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jimthompson5910 (jim_thompson5910):
yeah once you get the hang of it, it's not so bad
OpenStudy (anonymous):
Evaluate: negative 8 over negative 4 ????
jimthompson5910 (jim_thompson5910):
the negatives cancel
jimthompson5910 (jim_thompson5910):
8/4 = ???
OpenStudy (anonymous):
2
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jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
:D!
OpenStudy (anonymous):
-15 + (-4) will be 19?
jimthompson5910 (jim_thompson5910):
general rule
(positive) times (positive) = positive
(negative) times (positive) = negative
(positive) times (negative) = positive
(negative) times (negative) = positive
(positive) divided by (positive) = positive
(negative) divided by (positive) = negative
(positive) divided by (negative) = positive
(negative) divided by (negative) = positive
jimthompson5910 (jim_thompson5910):
no, -15 + (-4) is the same as -15 - 4
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jimthompson5910 (jim_thompson5910):
both numbers are negative, so the result is negative
jimthompson5910 (jim_thompson5910):
-15 + (-4) could be thought of
you're $15 in debt and you spend $4, so you're $4 further into debt
OpenStudy (anonymous):
oh!
so -19?
jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
you'll be $19 in debt total
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OpenStudy (anonymous):
Evaluate -10 + 6 is -4?
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
Evaluate 7 - (-1) is 8 then
OpenStudy (anonymous):
negatives cancel out
jimthompson5910 (jim_thompson5910):
good, that's the same as 7 + 1
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OpenStudy (anonymous):
thanks
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
Solve the following system by using graph paper or graphing technology.
2x + 2y = –6
3x – 2y = 11
What is the solution to the system? please help
jimthompson5910 (jim_thompson5910):
which way do you want to do it
jimthompson5910 (jim_thompson5910):
using graph paper or graphing technology
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OpenStudy (anonymous):
(–1, –7)
(1, –4)
(2, –1)
(3, –2)
OpenStudy (anonymous):
multiple choice :0
OpenStudy (anonymous):
i think its 1,-4
jimthompson5910 (jim_thompson5910):
oh you can just plug in each choice into both equations
for example, let's test if choice A is the answer
2x + 2y = –6
2(-1) + 2(-7) = –6 ... Plug in (-1,-7)
-2 -14 = –6
-16 = -6 ... which is FALSE
So choice A cannot be the answer
jimthompson5910 (jim_thompson5910):
you are correct, it is (1, -4)
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OpenStudy (anonymous):
yes! lol
The graph of a system of equations will intersect at more than 1 point.
Always
Sometimes
Never
?
jimthompson5910 (jim_thompson5910):
which one do you think it is
OpenStudy (anonymous):
sometimes
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
:O
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OpenStudy (anonymous):
The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. ?
jimthompson5910 (jim_thompson5910):
think about it: a line is uniquely defined by the slope and y intercept
so if two lines have the same slope and y intercept then they are
a) the same line
or
b) two different lines
???
OpenStudy (anonymous):
Always
Sometimes
Never ?
jimthompson5910 (jim_thompson5910):
which one do you think it is
OpenStudy (anonymous):
sometimes?
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OpenStudy (anonymous):
or never
jimthompson5910 (jim_thompson5910):
two lines have the same slope and y-intercept means that they are the same line
OpenStudy (anonymous):
so always?
jimthompson5910 (jim_thompson5910):
the original statement was
"The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. "
right?
OpenStudy (anonymous):
yeah
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jimthompson5910 (jim_thompson5910):
so that's never going to happen because two lines that are really the same line have an infinite number of solutions
OpenStudy (anonymous):
so always then
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
when they say "The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. "
it's never going to happen, so it's never