Solve for x in the equation x^2+10x+12=36.
1 answer:
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Answer: These are some points of the grahp:
(-2,4)
(0, 3)
(2, 2)
Explanation:
1) f(x) = -0.5x + 3, is the equation of the form y = mx + b
2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.
3) To graph f(x) = -0.5x + 3, follow these steps:
- draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
- draw marks on each axis, each mark equivalent to one unit.
- the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
- you can make a table with two or more points:
x f(x) = - 0.5x + 3
-2 4
0 3
2 2
4 1
6 0
4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.
Answer: The answers are 13. (A) and 14. (B).
Step-by-step explanation: The calculations are as follows:
(13) The given equations are
In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).
Thus, the correct option is (A).
(14) The given equations are
In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).
Thus, the correct option is (B).
