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Mathematics 8 Online
OpenStudy (anonymous):

The graph below shows a system of equations. The x-coordinate of the solution to the system of equations is __________

OpenStudy (anonymous):

OpenStudy (anonymous):

Where is tyhe graph?

OpenStudy (superdavesuper):

solution is where the two eqns intersect each other :)

OpenStudy (anonymous):

so -2 ?

OpenStudy (anonymous):

got it! substitute x = 4-y from first equation to the second equation

OpenStudy (anonymous):

wait, is it -2 ?

OpenStudy (superdavesuper):

yes, the question makes it easy by showing u the lines already. @thisSucks shows u how to actually solve it with no graph :)

OpenStudy (anonymous):

ok,so its -2

OpenStudy (anonymous):

help me with another question ? @superdavesuper

OpenStudy (superdavesuper):

Sure...if its not too difficult :P

OpenStudy (anonymous):

The table below shows some values of f(x) and g(x) for different values of x. Complete the chart and determine the solution of the equation f(x) = g(x)? Answer choices : x = -2 x = -1 x = 1 x = 4

OpenStudy (superdavesuper):

u can either solve the equations directly or just plot the graphs using https://www.desmos.com/calculator

OpenStudy (anonymous):

ok, how about this one. i have my answer but im not sure. Which of the following inequalities is modeled by the graph? 2x + 5y ≥ 14; x ≥ 0 2x + 5y ≤ 14; x ≥ 0 2x - 5y ≤ 14; x ≥ 0 -2x - 5y ≤ 14; x ≥ 0

OpenStudy (superdavesuper):

wait wait back to the question before last - u cant solve it direct so u must use the graphing calculator. do u know how to use it?

OpenStudy (anonymous):

im trying now but no i dont.

OpenStudy (superdavesuper):

For the new question, notice x=2 and y=-2 is within the shaded area. so u can put that into the inequality to see which one is right.

OpenStudy (anonymous):

i think its C ...

OpenStudy (superdavesuper):

In Desmos, type in y=3x+7 and y=4^-x to see where they intersect.

OpenStudy (anonymous):

thats not the equations .its the f(x) g(x) thing

OpenStudy (superdavesuper):

it is the same thing, u are plotting f(x) and g(x) using the graph calculator...

OpenStudy (anonymous):

ok i did it on the graph.. its -1

OpenStudy (superdavesuper):

correct on the graph one....c is not the right answer though :(

OpenStudy (superdavesuper):

remember the correct inequality should be right for - x=2 and y=-2

OpenStudy (superdavesuper):

typo typo typo - remember the correct inequality should be right for x=2 and y=-2

OpenStudy (superdavesuper):

So the correct inquality should be....

OpenStudy (anonymous):

;)

OpenStudy (superdavesuper):

But does x=2 and y=-2 satisfy D? i dont think so....

OpenStudy (superdavesuper):

Hahahaaa sorry - x=2 and y=-2....A???

OpenStudy (superdavesuper):

After we are done w the last one first :P

OpenStudy (anonymous):

ok, u said it wasnt A.B.C or D so make up your mind !!

OpenStudy (superdavesuper):

Tell me why B is the right answer plz?

OpenStudy (superdavesuper):

Did u eaver say B is the right answer? I dont think so...

OpenStudy (anonymous):

that was actually my second guess, scroll up

OpenStudy (anonymous):

help me with this one pleasee? answer choices : Graphs Q and R Graphs P and R Graphs R and S Graphs P and Q

OpenStudy (superdavesuper):

The question is asking: which two graphs represent y=5(1/2)^x and y=1/2(5)^x okay?

OpenStudy (anonymous):

ok

OpenStudy (superdavesuper):

So use the graph calculator and plot the eqns to see which two of them match...

OpenStudy (anonymous):

do i use that graph calculator for every single graph question ?

OpenStudy (superdavesuper):

Hahaha it is a very useful tool but u dont have to use it EVERY time :P

OpenStudy (anonymous):

ok, i got the answer. its A

OpenStudy (superdavesuper):

:) i know u can figure it out!

OpenStudy (anonymous):

its A right

OpenStudy (anonymous):

next question ...? A recycling company recycles wet and dry wastes. In a week, each ton of dry waste takes 35 hours for collection and 55 hours for processing. Each ton of wet waste takes 42 hours for collection and 63 hours for processing. The company's collection workforce can work for maximum 150 hours in a week and the processing machine can work for maximum 200 hours in a week. Let D represent the number of tons of dry waste that the company can recycle in a week and W represent the number of tons of wet waste that the company can recycle in a week. Which of the following statements best explains whether the company will be able to recycle 3 tons of dry waste and 2 tons of wet waste in a week? The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 63W ≤ 200 and 55D + 42W ≤ 150. The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 55D ≤ 150 and 42W + 63W ≤ 200. The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 200 and 55D + 63W ≤ 150. The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 150 and 55D + 63W ≤ 200.

OpenStudy (superdavesuper):

sorry lunch time - plz post it as a new prob if u dont wanna wait :)

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