(4x + 3y)² =
<span>(4x)² + 2 (4x) (3y) + (3y)² = </span>
<span>16x² + 24xy + 9y²</span>
Answer:
(a-b) *(a-b) *(a-b)
=(a*a*a) -3*(a*a*b)+3*(a*b*b)-(b*b*b)
34000*(1-7%)*(1-7%)*(1-7%)
=34000*(1-0.07)*(1-0.07)*(1-0.07)
=34000*[(1*1*1)-3*(1*1*0.07)+3*(1*0.07*0.07)-(0.07*0.07*0.07)]
=34000*(1-0.21+0.0147-0.000343)
=34000*(0.804357)
=34*1000*(804.357/1000)
=34*804.357
=<u>27348.138</u>
<u>=</u><u>27348</u>
Answer:
When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.
1/5 full =250g
4/5 full =550g
550g-250g=300g=3/5 without jug
1/5 without jug=300g/3=100g
250g-100g=150g
<u>The jug weighs 150g empty</u>
Find two numbers that multiply to -30 (last term) and add to 7 (middle coefficient)
The two numbers are 10 and -3
10 times -3 = -30
10 plus -3 = 7
Using those two values gets us the two factors (y+10) and (y-3)
Therefore, y^2+7y-30 factors to (y+10)(y-3)
The equation y^2+7y-30 = (y+10)(y-3) is true for all values of y.
