Graph the figure with the given vertices. Then graph the image of the figure after the indicated translation and write the coordinates of its vertices. Also, write the algebraic representation for each problem.
AFGH with vertices F(1, 3),
G(2,4), and H(3, 2); translated 3 units
left and 1 unit down
y
x
F'(-2, -1) G'(-1,-2) H'(0.2) : (x, y)-->(x+3,y-1)
F'(2, 2) G (1.3) H'(0,1); (x, y)-->(x-3,y-1)
F'(-2,2) G'(-1,3) H'(0,1) : (x, y)-->(X-3.y-1)
F'(-1,2) G'(-3,31 H (0,0):
(x, y)-->(x-3.y+1)

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

The liabilities of cullumber are $99,000. owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. what is the amount of cullumber company’s total assists?