Answer:
1. 4560 ft.
2. 9
3. 2 × 2 × 3 × 5 × 7
4. 3
5. f(-2) = 9
6. - 9, - 9
7. [tex]3a^{2}b^{2}c^{2}[b - 2ac^{2}][/tex]
Step-by-step explanation:
1. We have to convert 1520 meters to feet using 3 as a unit multiplier.
So, 1520 m = (1520 × 3) ft = 4560 ft. (Answer)
2. Assume the number is x, then the opposite number is - x.
So, given that -2x + 27 = x
⇒ 3x = 27
⇒ x = 9 (Answer)
3. 420 = 2 × 2 × 3 × 5 × 7 (Answer) {Using factorization method.}
4. 2 is [tex]\frac{2}{3}[/tex] of 3. Since, [tex]\frac{2}{3} \times 3 = 2[/tex]. (Answer)
5. if f(x) = - 5 - 7x, then f(-2) = - 5 - 7(- 2) = - 5 + 14 = 9 (Answer)
6.a) [tex]- 3^{2} = - 9[/tex] and
b) [tex]\frac{1}{-3^{-2} } = - \frac{1}{3^{- 2} } = - 3^{2} = - 9[/tex] (Answer)
7. We have to factor the greatest common factor of
[tex]3a^{2}b^{3}c^{2} - 6a^{3}b^{2}c^{4} = 3a^{2}b^{2}c^{2}[b - 2ac^{2}][/tex]. (Answer)