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Mathematics

1 answer:

olga_2 [115]1 year ago

8 0

Answer:

results for n on e Which graph shows the solution to the inequality Ix+31 ≥ 2? -6-5-4-3-2-1 0 -6-5 -6-5-4-3-2-1 0 1 2 3 4 -6 "-5 -2" "-1 1 -3" "-2" "-1" 0 2 3 4 5 1 2 2 3 4 3 4 6 (0 5 6 5 6 5 6

Search instead for n on e Which graph shows the solution to the inequality Ix+31 ≥ 2? -6-5-4-3-2-1 0 -6-5 -6-5-4-3-2-1 0 1 2 3 4 -6 -5 -2 -1 1 -3 -2 -1 0 2 3 4 5 1 2 2 3 4 3 4 6 (0 5 6 5 6 5 6

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$