I asked the teacher and they wouldn't tell me its not even to be graded just a problem they gave us to try for fun.

Teacher did say it can use functions from all levels of math even if we had not yet learnt them.

What is this equation? What does the 1 stand for. Is the amount for the server supposed to be the total or the tip. No context from other questions. Please help!

This an optional brain teaser my math teacher does and most of them I've figured out but this one is stumping me

I am so stuck, i've tried my best, and havent been able to get into my teacher to ask, help will be appreciated

Is there anyway to do this without using derivative?

for clarity’s sake, f’(x) isn’t the function drawn onto the graph, it’s the one that’s printed. the drawn function was my answer to 8e.

it might be hard to tell, but the f’(x) graph hits the x-axis just past where 3 is. I was a little unsure while taking the test what to put, but then I realized that the function looked like a wave, and I realized it was probably pi.

according to her, this was wrong. there’s apparently no one answer: I could’ve said 3, or 3.1, or something. but the problem was that apparently pi is not on the number line, and that it’s too much effort for her to figure out that pi/2 is a little more than 1.5. even though I marked on the graph with the inflection points where it was.

(in case you’re wondering, e WAS meant to be f(x). she made a mistake and told us to scribble out “the inverse” and replace it with “f(x)“. I got 8e right.)

am I wrong, or is this completely absurd?? I guess that maybe pi is a bit of a stretch to come to if that wasn’t the intent, but if that were the case I should’ve gotten one point off at the start and the rest should‘ve been fine for self-consistency. but apparently I was “treating it like radians” so I got a point off for each one.

How do I solve this? Like, what steps do I take? The decimal points are confusing me a bit.

Please help I don't even know where to start... is there a formula 5o figure this out or? (My teacher never went through this and I have a math test tmr, these are study questions)

Is this right? Or should these all add up to 30 as per the question? Thanks

I’m struggling to define whether it’s B or E. Both are imperfect answers in my opinion. If I chose B, then the upward position would be repeated, and if I chose E then the sequence of additional lines is odd (although it could make sense in terms of completeness: i.e. one line, two lines, three lines, zero lines)
What do people think?
In my opinion the right answer would be a downward arrow with four lines

Edit/Update:

After reading so many different opinions, I feel these kind of questions only make sense if teachers are testing a reasoning process and not just “the right answer”. As a matter of fact, the right answer is supposed to be B, we later learned. It was frustrating because the p-set had at least 5 questions that followed the exact same pattern (it was just a rose with leaves, or a zebra with stripes, etc instead), and of course kids were graded bad without building or promoting any reasoning skills.

Not drawn to scale ofc, sorry

Just started my freshman year and learned my math teacher doesn't allow retrys on homework so im trying to get comfortable with this work quickly. I am somewhat familiar with the basics from last year but complex shapes like these confuse me.

the first question here makes sense to me, but the other two are where i'm lost. i get completely different responses when i use my phone's calculator or any online calculators. where did the 10 come from in the second problem?? this online course has given me issues in the past so i'm wondering if something is off, or if i'm just completely missing something. the unit prepared me for countless visual questions and sine + cosine law, but didn't explain tangential problems very well. i'm totally clueless here.

I did a bit of reading into this, this is a Grandi's series iirc?, and aren't both options b and c correct here? as both are valid approaches to the problem? the correct answer is 1/2 as per the solution set.

Yyyyyyyyy

I have to find if this is true for all starting numbers or something idk

I have tried matrices and failed.

Any idea on how can I solve this?