Answer: -5, 3, 4 + 1,4-i (option 2)
Step-by-step explanation:
The roots of an equation are the x values for f(x) = 0. Therefore to find the roots of the equation, you first set the function to 0 and then solve for the values of x.
since f(x) = -(x² + 2x - 15) (x² + 8x + 17)
0 = -(x² + 2x - 15) (x² + 8x + 17)
∴ either -x² - 2x + 15 = 0 OR x² + 8x +17 = 0
when -x² - 2x + 15 = 0
-x² - 5x + 3x + 15 = 0
(x - 3 ) (-x - 5) = 0
⇒ x = 3 or x = -5
when x² + 8x +17 = 0
= 0 OR 
= 0 (using the quadratic equation)
⇒ x = 4 + i or x = 4 - i
∴ the complete list of roots is -5, 3, 4 + 1,4-i (option 2)
Answer:
C: ![-7ab \sqrt[3]{3ab^{2} }](https://tex.z-dn.net/?f=-7ab%20%5Csqrt%5B3%5D%7B3ab%5E%7B2%7D%20%7D)
Step-by-step explanation:
Simplify or expand:
![2ab\sqrt[3]{192ab^{2} } - 5\sqrt[3]{81a^{4} b^{5} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B192ab%5E%7B2%7D%20%7D%20-%205%5Csqrt%5B3%5D%7B81a%5E%7B4%7D%20b%5E%7B5%7D%20%7D)
Transform the expression:
![2ab\sqrt[3]{4^{3}*3ab^{2} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B4%5E%7B3%7D%2A3ab%5E%7B2%7D%20%20%7D)
- ![5\sqrt[3]{3^{3}*3a*ab^{3} b^{2} }](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B3%5E%7B3%7D%2A3a%2Aab%5E%7B3%7D%20b%5E%7B2%7D%20%20%7D)
Re-write
Multiply
Combine like terms.
After you combine like terms you will get 5p - 9m.
-3p + 8p is the same thing as 8p - 3, so you get 5p.
-2m + (-7m) is -9m
-3p and 8p are like terms.
-2m and -7m are also like terms.
Answer:
B
Step-by-step explanation:
$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.
$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.
THAT, would be added to the initial fixed me of $40.
Hence, total charges, c, would be 40 + 1.70m
Answer choice B is right.
Answer:
yes two figures are congruent
