Answer: x= 207.8873386
Step-by-step explanation:
expecting both 2x-15 and 3x are angles in radiant, let's draw a rhombus ABCD
∠ABC = 2x-15
∠ BCD = 3x
∠ABC + < BCD= π ( 180° in radiant)
2x - 15 + 3x = π
5x - 15 = π
x - 3 = 1/5π
= 3.628318531 = 207.8873386
2x−15°+3x=180
5x-15°=180
5x=195°
x=39°
Answer:
about 340,000
Step-by-step explanation:
In 10 years, the population dropped to 0.88 of what it was in 2010. At the same rate, in 20 more years, it will drop to 0.88² of what it was in 2020:
2040 population = 440,000·0.88² ≈ 340,000
Discussion
The discriminate is b^2 - 4*a*c
The general equation for a quadratic is ax^2 + bx + c
In this equation's case
a = 1
b= -5
c = - 3
Solve
(-5)^2 - 4*(1)*(-3)
25 - (-12)
25 + 12
37
Note
Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.