Step-by-step explanation:
a.
2(3x) - 5x = 4
6x - 5x = 4
x = 4
B. -5(x-4)+8x=29
-5x+20+8x=29
3x+20=29
3x=9
x=3
C. 2y=18+2(3-y)
2y=18+6-2y
2y=24-2y
4y=24
y=6
D. c = -b - 11
3c + 6 = 6b
3( -b - 11) +6 = 6b
-3b-33+6=6b
-3b-27=6b
-27=9b
3=b
a) see attachment for graph
b) D: [0, 2.5] <em>time cannot be negative so the x-values start at 0</em>
R: [0, 100] <em>height cannot be negative so the y-values start at 0</em>
c) 84 ft <em>refer to the red coordinate on the graph</em>
d) 1.75 seconds <em>refer to the blue coordinate on the graph</em>
e) 2.5 seconds <em>refer to the green coordinate on the graph</em>
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When looking for coordinates at the various given values, remember that x is time and y is height.
- If you are given time, then look at the y-value for height
- If you are given height, then look at the x-value for the time.
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X=2.85
it simplifies to 5x=14.25, and then 14.25/5=2.85
Answer: Following the rules of PEMDAS, you want to divide both sides of the equation by -2. This would change your equation to x+3=5. Then you move your constant to the right-hand side and change its sign. Your equation is now x=5-3. subtract 5-3 and your answer is x=2.