Step-by-step explanation:
We have got the lines :
Both lines intercept the x-axis in the point :
In all point from x-axis the y-component is equal to 0.
We replace the I point in the lines equations:
From the first equation :
From the second equation :
Then 
Finally :
y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc
C= Cost
g= # of times games played
C = 0.50g + 3
C(0) = 0.50(0) + 3
C(0) = 0 + 3
C(0) = 3
This means that no games have been played yet and the entrance fee is $3
Answer:
6825
Step-by-step explanation:
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
Answer:
7
Step-by-step explanation:
Working backwards:
19 + 9 = 28
28/ 4 = 7
Checking work:
7 x 4 = 28
28 - 9 = 19
Given:
To find:
The quadrant in which 
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only 
and 
are positive.
In Quadrant III, only 
and 
are positive.
In Quadrant IV, only 
and 
are positive.
We have,
Here, is negative and is also negative. It is possible, if 
lies in the Quadrant IV.
Therefore, the correct option is D.
