By reducing 21/30 you dived 21 and 30 by 3 and you will get 7/10. Is 7/10 larger than 2/3? If we put these fractions in decimal form we will see 7/10 turns into 0.7 and 2/3 turns into 0.667. So the answer is 21/30 is larger than 2/3.
Answer:
0 = 4x
Step-by-step explanation:
-2(2 - 2x) = 4 - 8(1 - x)
-4 + 4x = 4 - 8 + 8x
-4 + 4x = -4 + 8x
-4 + 4 = 8x - 4x
0 = 4x
4^3=4*4*4=64
2^6=2*2*2*2*2*2=64
Answer:
a = 7 and b = - 18
Step-by-step explanation:
If (x - 1) is a factor of f(x) then x = 1 is a root and f(1) = 0, thus
f(1) = 1³ + 10(1)² + a + b = 0 and
1 + 10 + a + b = 0 ⇒ a + b = - 11 → (1)
Similarly if
(x + 2) is a factor then x = - 2 is a root and f(- 2) = 0
f(- 2) = (- 2)³ + 10(- 2)² - 2a + b = 0, thus
- 8 + 40 - 2a + b = 0 ⇒ - 2a + b = - 32 → (2)
Solve (1) and (2) simultaneously
Subtract (1) from (2)
- 3a = - 21 ( divide both sides by 3)
a = 7
Substitute a = 7 in (1)
7 + b = - 11 ⇒ b = - 11 - 7 = - 18
The required polynomial is
f(x) = x³ + 10x² + 7x - 18
Answer
B and A
Step-by-step explanation: