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):

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
<h3>Answer:</h3>
3:8:1
<h3>step-by-step explanation:</h3>
3/12 x 144= 36
8/12 x 144= 96
96+36= 132
144-132= 12
12/12=1
Therefore, the ratio of Alyssa's nickels to dimes to quarters is 3:8:1
There are 13 green marbles in the bag.
Step-by-step explanation:
Total marbles = 18
Let,
Green marbles = x
Blue marbles = y
According to given statement;
The number of green marbles is 2 less than 3 times the number of blue marbles.
x = 3y-2 Eqn 1
x+y=18 Eqn 2
Putting value of x from Eqn 1 in Eqn 2;

Dividing both sides by 4

Putting y=5 in Eqn 1

There are 13 green marbles in the bag.
Keywords: linear equation, substitution method
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Answer:
(-6, -11)
Step-by-step explanation:
The transformation is just a sift on the vertical axis specifically move down 5 units in y.
Therefore, the corresponding point to (-6, -6) for the function\'s transformation f(x) - 5 is: (-6, -6 - 5)= (-6, -11)