Working alone at its constant rate, machine a produces x boxes in 10 minutes and working alone at its constant rate, machine b produces 2x boxes in 5 minutes. how many minutes does it take machines a and b, working simultaneously at their respective constant rates, to produce 3x boxes?
x = 10.5 in
the rectangles are similar, thus the ratios of corresponding sides are equal.
that is = ( cross- multiply )
2x = 21 ( divide both sides by 2 )
x = 10.5
-3x^3 + 7x^2 -7x-1
let x = -2
-3(-2)^3 +7(-2)^2 -7(-2) -1
according to pemdas, powers first
-3(-8) +7(4) +14 -1
24 +28 +14-1
then add and subtract
you need to move the point horizontally to the right by 2 units to (0, 5) (answer).
correct choice is b
unknown leg x in right triangle is opposite to the angle of the measure of 50°. use the definition of the sine of the angle: