Answer:
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Answer:
x = 10
z = 116°
Step-by-step explanation:
By the definition of supplementary angles, we have:
Step 1: Find <em>x</em>
7x + 46 + 5x + 14 = 180
12x + 60 = 180
12x = 120
x = 10
Step 2: Find the supplementary angle to <em>z</em>
5(10) + 14
50 + 14
64
Step 3: Find <em>z</em>
180 - 64 = 116
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Remember that if lines are parallel, they will have the same slope. Also, the number added or subtracted in the equation is the y intercept, or the y value when the x=0. They gave you the point (0,-7) so really, they just gave you the y intercept. How nice!! That means you just use the same slope as the original and then add -7 to it to get your equation. With that knowledge, you can now easily identify the correct answer!!
Basically looking for the x value of intersection of the two equations. Setting them equal,
2^x + 12 = 15x + 35, which you will get x = 7. Graph it out to get a visual solution.
The number of birds after 7 years would be 140, for both species.
The answer is 10x^4 - 2x^3
