Answer:
Step-by-step explanation:
-2x + 3 = 0
-2x = -3
x = 3/2
-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3
= 9/4 + 3 + 3
= 9/4 + 6
= 33/4
Hope this helps
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8x - 2y = 48, y =4
8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x = 56
x = 56/8 = 7
x = 7
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 <em>(note: the y-intercept can also be found when x=0, for example (0,9).</em>
Hope this helped, good luck!
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