4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4 ⇒<u> 4.5x - 4.5y = 18</u>
<u>6y</u> = <u>6</u>
6 6
y = 1
4.5x + 1.5(1) = 24
4.5x + 1.5 = 24
<u> - 1.5 - 1.5</u>
<u>4.5x</u> = <u>22.5</u>
4.5 4.5
x = 5
(x, y) = (5, 1)
Answer:
- increasing: (-∞, 0)
- decreasing: (0, ∞)
Step-by-step explanation:
The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...
increasing from -∞ to 0 (not including 0)
decreasing from 0 to +∞ (not including 0)
_____
At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.
Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.
Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).
We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.
Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.
(3.5y) + y = 180
Combine like terms.
4.5y = 180
Divide by 4.5
y = 40
Plug y = 40 in and solve for x.
x + 40 = 180
x = 140
The answer is 40 and 140. Hope this helps :)
It equals 0.1365853659
you may round as needed
