We have to write down some values that we can see from the graph. At x=0, the value is 100. At x=1, the y-value is 150 and at x=2 the graph has a value of a little over 200. We see also that this is an exponential graph, so we might assume that there is a specific ratio from each x-value to the next. We get that this ratio is 150/100=1.5. Hence, the quantity increases by 1.5 or 150% every time we add 1 to the x-coordinate. The 2 first sentences are correct. If an amount increases by 50% after a year, at the end of the year there is 150% of it (we need to add the initial capital which is 100%). Thus the graph here has as x-axis years and as y-axis money. The same concept holds for the 2nd sentence. The 3rd sentence is wrong because the value here is not multiplied but added. This would produce a linear graph. Sentence 4 has the wrong ratio; if that was true, then at x=1 we would have 200 oranges, not 150. For the same reason option 5 is wrong; 150*100=15000, not 150.
Answer: the answers are the second one and the last one
Step-by-step explanation:
Answer:
output = input^3 - 2
Step-by-step explanation:
She has 445 left after the bear ate some so
21 × 12 = 252
252 + 445 = 697 acorns
she should maybe bother the bear so he can't hibernate, or steal his food so he knows what it's like
1) For a quadratic equation, we'll have two answers typically. We're looking for two numbers that when multiplied give -64, and when added give -12. This is a bit of trial and error, but you go about it by systematically factoring -64 in all possible combinations: 64=-2*32=2*-32=-4*16=4*-16=-8*8. Of these, I can 'see' that I can make -12 with 4 and -16. So the factorization of the equation becomes:
(x-16)(x+4)=0, so x=16 or x=-4.
Answers B and D are correct.
For (2), same trick applies. Rewrite as x²-8x-48=0. Factor as (x+4)(x-12)=0 because 4*-12=-48 and 4-12=-8. The other solution is x=12.
