Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of 
are 
and 
, respectively.
Plugging these values into the first inequality, 
, gives us 
, which simplifies to 
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, 
, gives us 
, which simplifies to 
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, 
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
<em>Divide both sides by 6</em>
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
Samuel was paid $29.29 last week.
Hope this helps
Answer:
74.2 million children under the age of 18
Step-by-step explanation:
For this case we have the following function:
y = 1 \ 2 (5) ^ x
We apply the following function transformations:
Reflections:
To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
y = -1 \ 2 (5) ^ x
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
y = -1 / 2 (5) ^ (x-3)
Answer:
Reflection on the x axis.
Horizontal movement 3 units to the right
