14. 5n - 4 = 8
5n = 12
n = 2.4
15. 3x + 5 - 4x = -3
-x + 5 = -3
-x = -8
x = 8
16. 96 = -6(-4 - 3y)
96 = 24 + 18y
72 = 18y
4 = y
17. 3(x - 5) = -14 + 17x
3x - 15 = -14 + 17x
-11x - 15 = -14
-11x = 1
x = -0.0909
18. 7z + 10 - z = 8z - 2(z - 5)
6z + 10 = 8z - 2z + 10
6z + 10 = 6z + 10
6z = 6z
z = z (all real numbers are solutions)
Hope this helps.
Vertex of the polygon is (161, -329)
The new vertex is shifted 168 units to the right. A horizontal shift can be achieved be adding or subtracting the number from the x-coordinate. A change in the y coordinate brings the vertical shift. So in this case the x-component will change only and y component will be the same.
A shift towards right means, the value of x component is increase as x gets larger as we move towards right on the graph. So moving 168 units to the right, we will get the following vertex (329 , -329)
Thus, the new vertex of the polygon will be at the point (329, -329)
Answer:
Your x-intercepts are (1, 0) and (5, 0)
Step-by-step explanation:
Factor out the expression:
factors out to 
Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).
Answer:
45 customers
Step-by-step explanation:
Given
Total number of customers = 125
percent that paid with credit card = 64%
Customers that paid with credit card = 64% * 125
Customers that paid with credit card = 0.64 * 125 = 80
Number of customers that paid with cash = 125 - 80
Number of customers that paid with cash = 45 customers