Answer:
The answer is b = -9/2
Step-by-step explanation:
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
Answer: D
Step-by-step explanation: I took the test
A(-7,-4) B(-2,0)
√[(x'-x)^2+(y'-y)^2]
√(-2-(-7)^2+(0-(-4)^2
√(5^2)+(4^2)
√25+16
√41
the distance is approximately 6.4 units
Answer:
295.4 ![in^3](https://tex.z-dn.net/?f=in%5E3)
Step-by-step explanation:
![V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%28b%29%5E2%28h%29%5C%5C%5C%5C%20%3D%5Cfrac%7B1%7D%7B3%7D%20%2811.5%29%5E2%286.7%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%28135.25%29%286.7%29%5C%5C%5C%5C)
= 295.358
≈ 295.4