5/8 9/x
Cross multiply
9x8=72
5×x=5x
Rewrite the equation
72 = 5x
Divide by 5
72÷5=14.4
So, x=14.4
7 - 9w = - 29
Subtract 7 from both sides
- 9w = - 36
Divide by - 9 on both sides
w = 4
Question
:
nathan packs 30 boxes in 2 hours.how many boxes can he pack in an 10 hour shift?
30 boxes in 2 hours = 15 box in 1 hour
so
10 * 15 = 150
150 boxes is your answer
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
