Answer:
- 1, 3, 7, 11, 15
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 5 into the rule, that is
a₁ = 4(1) - 5 = 4 - 5 = - 1
a₂ = 4(2) - 5 = 8 - 5 = 3
a₃ = 4(3) - 5 = 12 - 5 = 7
a₄ = 4(4) - 5 = 16 - 5 = 11
a₅ = 4(5) - 5 = 20 - 5 = 15
The first 5 terms are - 1, 3, 7, 11, 15
x = 20 - -5 = 20 + 5 = 25
y = 16 - 1 = 15
<h2>
x = 25</h2><h2>
y = 15</h2>
Answer:
C - The relationship represents a function because each input gives one unique output.
Step-by-step explanation:
To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.
(why is it not d? you can have a non-linear line, but still have a function)
Reorder the terms
112 + 3x = 100 + 5x
112 + 3x + (-5x) = 100 + 5x + (-5x)
Combine the like terms
5x + (-5x) = 0
112 + (-2x) = 100 + 0
112 + (-2x) = 100
112 + (-112) + (-2x) = 100 + (-112)
Combine like terms again
112 + (-112) =0
0 + (-2x) = 100 + (-112)
100 + (-112) = (-112) = (-12)
-2x = -12
-12 / -2 = 6
x = 6 <span>✓</span>
Check your work
3 * 6 + 112 = 130
5 * 6 + 110 = 130
130 = 130 ✓
Domain is x values... Y is y values
