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Mathematics 13 Online
OpenStudy (anonymous):

Evaluate -12(-2)

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

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

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

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

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

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

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

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

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)

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

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?

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

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

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