Answer:
x = 5
Step-by-step explanation:
Here we want to simplify and solve for x:
8x - 5(x - 1) = 20
8x - (5x - 5) = 20 (distribute the 5)
8x - 5x + 5 = 20 (subtract each of the terms / distribute the understood -1)
3x = 15 (combine like terms)
x = 5
check your answer by plugging x = 5 back into the equation:
8(5) - 5(5 - 1) = 20
40 - (5*4) = 20
40 - 20 = 20
20 = 20
It says 20% OFF, so you would do, 1 - 0.20 = 0.80, so you would multiply 0.80 with 80 and get 64.
Looking at how the image shrinked from the original, you can assume that the scale would be a fraction. Since they remained negative, then the fraction wouldn't contain a negative. Therefore the answer would be C.
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19. It notes or hints to using the quadratic formula because the equation can not be solved by factoring alone. Thus you must use the quadratic formula.
A=-16 B=25 C=3
It is so hard to type a normal equation let alone one of the quadratic formula so I will just attach a picture instead.
However you will end up getting two roots/zeros/x-intercepts of -0.11 and 1.67.
However since it is an application question asking for answers only in the first quadrant you must choose the positive x-intercept.
Therefore the water balloon will land at 1.67 seconds.
20. This question is very simple as it asks you to find a height at a given time. You simply put the given time (1second) into the equation and get your answer.
h=-16(1)^2+25(1)+3
h=12
Also don't mind my little scribble there. :)