The answer is <span>252.5 ft
</span><span>y = –0.004x</span>²<span> + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:
</span>–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0
a = -0.004
b = 1
c = 2.5
![x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ =\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%20%3D%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7B%20b%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20%3D%5Cfrac%7B-1%2B%2F-%20%5Csqrt%7B%201%5E%7B2%7D-4%2A%28-0.004%29%2A2.5%7D%20%7D%7B2%2A%28-0.004%29%7D%20%3D%20%5Cfrac%7B-1%2B%2F-%20%5Csqrt%7B1%2B0.04%7D%20%7D%7B-0.008%7D%20%3D%20%5C%5C%20%0A%3D%5Cfrac%7B-1%2B%2F-%20%5Csqrt%7B1.04%7D%20%7D%7B-0.008%7D%20%3D%20%5Cfrac%7B-1%2B%2F-1.02%7D%7B-0.008%7D%20)
![x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-1%2B1.02%7D%7B-0.008%7D%20%3D%20%5Cfrac%7B0.02%7D%7B-0.008%7D%20%3D%20-2.5%20%5C%5C%20%0Ax_2%3D%5Cfrac%7B-1-1.02%7D%7B-0.008%7D%20%3D%20%5Cfrac%7B2.02%7D%7B-0.008%7D%20%3D%20252.5)
Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft
-1x=12
Divide -1 on both sides...
The 1’s cancel out and 12 divided by -1 equals...
x= -12
Answer:
2x + 24
Step-by-step explanation:
The product of 2 and a number is: 2x
because product means multiply. 2 and a number means 2 times an unspecified number represented as x. 24 more than that product just means to add 24 to the product of 2x.
Answer:
Step-by-step explanation:
14. 2
15. 3
16. -5
17. -11