1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
Karl: k hours
Ryan: r hours
r+k=14 hrs
r = 2k-1 hrs
Then (2k-1) + k = 14 hours; 3k -1 = 14 hours; 3k = 15 hours; k = 5 hours.
Karl worked 5 hours; Ryan worked 2(5 hours) -1 hour = 9 hours.
how much did they sale? you can not complete the answer without a sale amount. because you are asking that they made $1,200 plus 3% of sale, but you do not have the amount they sold so it just $1,200+3% of the sale , but no number for how much they sale, but for advice i would get the total amount they sale and divide by 100 then times it by 3 then try to fill in the void on how they went from 1,200 to 2500. You need to tell us the amount they sold and then the we can answer your question, but without you will not get your answer, so your question is incomplete.
Answer:
The answers are A. and B.
Step-by-step explanation:
Since the area of the largest square is 36. We need two numbers that equal 36. and A. had 6 and 30 so i picked it and it was right and B. is 28 and 8 which also equals 36. But, C. is 4 and 16 which is not 36. So A. and B. are the answers. Hope this helps! :)
The absolute value sign makes it so that k+7 could be either -3 or +3 and the result would still be 3. This means there are two possible answers for k. The one that makes k+7=-3 and the one that makes k+7=+3. Just solve these two equations:
k+7=-3
k=-3-7
k=-10
k+7=3
k=3-7
k=-4
So the possible answers are -4 and -10. B is the correct choice.
