Answer: the second choice: (0, - 2) and (1, 0).
Explanation:
1) The solution of a graphed system of equations is the points of intersection of the equations.
2) Hence, this method requires to graph each function in one Cartesian coordinate system.
3) To graph the function y = x² + x - 2, you can follow these steps
- draw the perpendicular x(horizontal)-axis, and y(vertical)- axis
- mark the divisions in each axis (1 unit is a good scale for this case)
- notice that y = x² + x - 2 is a parabola
- write y = x² + x - 2 in its vertex form following these steps:
y = (x² + x) - 2
y + 1/4 = (x² + x + 1/4) - 2
y + 1/4 = (x + 1/2)² - 2
y = (x + 1/2)² - 2 - 1/4
y = (x + 1/2)² - 9/4
Compare with the vertex form y = (x + h)² + k, where the coordinates of the vertex are (h,k). Therefore, the vertex is (1/2, - 9/4).
- The parabola open upwards (because the coefficient of the quadratic term is positive).
- Find the y-intercept (x =0) and x-intercepts (y = 0), and write a table with some values:
4) To graph the function y = 2x - 2, you can follow these steps:
- Use the same Cartesian coordinate system
- Notice it is a line
- The slope is 2 (the coefficient of x)
- The y-intercept is - 2( the constant term)
- Build a table (use the same x-values used for the first graph)
- x y = 2x - 2
- -2 - 6
- -1 - 4
- -1/2 - 3
- 0 - 2
- 1/2 - 1
- 1 0
- 2 2
The tables show that these points are common to the two functions: (0, - 2) and (1,0).
The graphs are shown in the figure attached.
You can see that the parabola (blue curve) and the line (purple line) intercept each other at those two points ( 0, - 2) and (1,0).
<span>seven and three one thousandths</span>
Answer:
is this a question or something else ?
<span><span><span><span><span>14y</span>+112</span>+2</span>−<span>134y</span></span>−12</span><span>=<span><span><span><span><span><span><span>14y</span>+112</span>+2</span>+</span>−<span>134y</span></span>+</span>−12</span></span><span>=<span><span><span><span><span>14y</span>+112</span>+2</span>+<span>−<span>134y</span></span></span>+<span>−12</span></span></span><span>=<span><span>(<span><span>14y</span>+<span>−<span>134y</span></span></span>)</span>+<span>(<span><span>112+2</span>+<span>−12</span></span>)</span></span></span><span>=<span><span>−<span>120y</span></span>+102</span></span>
Answer:
<span>=<span><span>−<span>120y</span></span>+<span>102</span></span></span>
Answer:
XM = 7
CG = 38
Step-by-step explanation:
If M is the midpoint then
XM = MZ which means:
x + 2 = 2x - 3 add like terms
2+3 = 2x-x
5 = x and the length of XM = 7
same rules applies for the length of CG
CM = MG and
4x - 5 = 2x + 7
4x - 2x = 7 + 5
2x = 12 divide both sides by 2
x = 6 now to find the length of CG we replace the x with 6
CG = 4x - 5 + 2x + 7
CG = 6x + 2 replace x with 6
CG = 6*6 + 2
CG = 38