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Mathematics 14 Online
OpenStudy (anonymous):

Did I do this Algebra problem correctly?

OpenStudy (anonymous):

What is the the y-intercept of the graph y=4x-2

OpenStudy (anonymous):

I got -2,. is this accurate?

OpenStudy (wach):

Yes, you did it correctly. Nice job! :)

OpenStudy (anonymous):

WooO!

OpenStudy (anonymous):

Another question, if you don't mind?

OpenStudy (wach):

Surething.

OpenStudy (anonymous):

Determine whether the graph of y=a^x where a > 0 and a=/1, sometimes, always, or never has an x intercept. I think it's sometimes, correct?

OpenStudy (anonymous):

Hello? )

OpenStudy (anonymous):

I'm not part of your fan club! :D

OpenStudy (wach):

I believe that is correct.

OpenStudy (anonymous):

Alright. Certainty is very important. I hope you won't get offended if I re-ask this.

OpenStudy (wach):

Sure :)

OpenStudy (anonymous):

Here's one final problem ! :)

OpenStudy (anonymous):

Mitosis is the process of cell reproduction in which one cell divides itself into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begin with 100 E. coli bacteria, how many will there be in 1 hour?

OpenStudy (anonymous):

I THIIINK it's 1400 bacteria, correct?

OpenStudy (wach):

Wait. Actually, I'm not sure about the last question that you asked. Because a can't be negative, it should always have an x-intercept, shouldn't it?

OpenStudy (anonymous):

IDK. Ha ha. Since we're both ultimately unsure, let's focus on the current one. :)

OpenStudy (wach):

Ok. Good thinking.

OpenStudy (wach):

Well, if there are 4 15-min intervals in an hour, and you start with 100, it should go : 100-200-400-800-1600 Start - 15 - 30 - 45 - 60

OpenStudy (anonymous):

Wat.

OpenStudy (anonymous):

Wait...it's 1600 bacteria, correct?

OpenStudy (wach):

Yes, that's correct. I'm going to plug it into the growth formula just to check, though.

OpenStudy (anonymous):

ok!

OpenStudy (wach):

Ok. It should be correct. Does it make sense how I came to that answer, though?

OpenStudy (anonymous):

Yes! :D

OpenStudy (wach):

Also, on the graphing question : If x can equal anything, it can also equal 1. Which means that y=2x^1 is a possibility. As you probably know, that has an x-intercept. If x is more than 1, you would have a parabola that always touches the origin, thus, always having an intercept. However, if x = -1, the line inches closer and closer to the axis but doesn't touch it (I think). So, the answer would be 'sometimes'. Maybe try asking that as a new question? :)

OpenStudy (wach):

Good luck!

OpenStudy (anonymous):

\[\text{nice}\]

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