Answer:
<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>
Step-by-step explanation:
![f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%5C%5C%5C%5Cf%28-8%29%3D%5Csqrt%5B3%5D%7B-8%7D%3D-2%5Cto%28-8%2C%5C%20-2%29%5C%5C%5C%5Cf%280%29%3D%5Csqrt%5B3%5D%7B0%7D%3D0%5Cto%280%2C%5C%200%29%5C%5C%5C%5Cf%288%29%3D%5Csqrt%5B3%5D%7B8%7D%3D2%5Cto%288%2C%5C%202%29%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Ba%7D%3Db%5Ciff%20b%5E3%3Da%5C%5C%5C%5C%5Ctext%7BTherefore%3A%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B-8%7D%3D-2%5C%20%5Ctext%7Bbecause%7D%5C%20%28-2%29%5E3%3D-8%5C%5C%5Csqrt%5B3%5D0%3D0%5C%20%5Ctext%7Bbecause%7D%5C%200%5E3%3D0%5C%5C%5Csqrt%5B3%5D%7B8%7D%3D2%5C%20%5Ctext%7Bbecause%7D%5C%202%5E3%3D8)
Answer:
A. 17
Step-by-step explanation:
using the cosine rule (also see attached for reference):
AB² = BC² + AC² - 2·AC·BC cos C
2·AC·BC cos C = BC² + AC² - AB²
Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula
2(18)(28) cos C = 28² + 18² - 12²
1008 cos C = 964
cos C = 964/1008
cos C = 0.9563
C = cos⁻¹ 0.9563
C = 16.99 ( = 17° rounded to nearest degree)
600 +200 + 100 = 900
2000 - 900 = 1100
1100/6 = 183.33 so he can buy 183 games
Answer:
X= 30-4r/-6
Step-by-step explanation:
1. Move the 9 to the other side. (21+9=30)
2. subtract the 4r and move it to the other side (-6x=21-4r)
3. divide both sides by -6