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2 answers:
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Answer:
see below
Step-by-step explanation:
g(x) = 1/2 | x+2| -3
y = Cf(x) 0 < C < 1 compresses it in the y-direction
y = f(x + C) C > 0 moves it left
y = f(x) + C C < 0 moves it down
1/2 compression in the y direction moved to the left 2 units and down 3 units
Answer:
Step-by-step explanation:
ΔJKL ~ ΔMNP
So, the sides of both of the triangles are proportional.
Taking proportionality of their sides.
=>
Cross Multiplying
20 * 30 = 25(4x-4)
600 = 100x - 100
Adding 100 to both sides
600+100 = 120x
700 = 100x
Dividing both sides by 100
700/100 = x
x = 7
15 gallons of 35% peroxide solution contains 0.35 × 15 = 5.25 gallons of hydrogen peroxide. The rest of the volume is made up of 15 - 5.25 = 9.75 gallons of water.
If we add gallons of water to the solution, the amount of hyrdrogen peroxide in the solution stays the same, but the volume of water increases to
gallons, and the total volume increases to
gallons.
To get a concentration of 8% in this diluted solution, we add gallons of water such that
Solve for .
To get the desired concentration, one must add 50.625 gallons of water, and one will end up with a total volume of 65.625 gallons of solution.