Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality
First, draw the dotted line
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality
First, draw the solid line
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
Answer:
Video Games = $5.25
Movies = $1.25
Step-by-step explanation:
(3x + 5y = 30)2
6x + 2y = 18
Video Games (y) = 5.25
6x + 10y = 60
<u>- 6x + 2y = 18 </u>
(8y)/8 = (42)/8
<u> </u>
6x + 2(5.25) = 18
6x + 10.5 = 18
6x = 7.5
x = 1.25
Double Check by plugging in the numbers
Answer:
C.
Step-by-step explanation:
the given graph touches the Y-axis in the point (5;0), it means the only zero.
To the additional: the graph is y=(x-5)².
Answer:

Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:


Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>

List the multiples of 40

<u>Hexagon</u>

List the multiples of 60

List out the common angles



This means that, only a rotation of
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
Answer:
11- 64 degrees
12- 66 degrees
13- 89 degrees
14- 99 degrees
Step-by-step explanation:
11. 100 + 130 + 66 = 296
360 - 296 = <u>64</u>
12. 103 + 133 + 58 = 294
360 - 294 = <u>66</u>
13. 154 + 88 + 29 = 271
360 - 271 = <u>89</u>
14. 101 + 92 + 68 = 261
360 - 261 = <u>99</u>
hope this helps :)