Answer:
f(x) = 6x²-3
f(x) = 0
6x²-3 = 0
6x² = 3
x² = 3/6
x² = 1/2
x = 1/√2 , -1/√2
Roots of f(x) = 1/√2 , -1/√2
Verification = (i) 6(1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
(ii) 6(-1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
Gravity when the mantle cools it becomes heavier and therfore sinks
Answer:
420.7 degrees C
Explanation:
Use the formula V1/T1 = V2/T2 (Charles' Law) to find T2. Make sure to convert your temperatures to Kelvin by adding 273 to the Celsius temperature.
V1 = 4.50 L
V2 = 10 L
T1 = 39.2 C = 312.2 K
Solve V1/T1 = V2/T2 for T2 and you get T2 = V2T1/V1
T2 = (10 L)(312.2 K) / (4.50 L) = 693.8 K
You can subtract 273 to get the temperature back to Celsius.
T2 = 693.8 - 273 = 420.7 degrees C
Water that contains large amounts of disolved salts