Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
Option A, there seems to be no error
The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
<h3>What is the titanic calculations about?</h3>
The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.
This is known to be the biggest British passenger liner that was said to have sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.
Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.
The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.
So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)
Therefore, 52,310 tons
= 52,310 × 0.99109 m³
≈ 51843.918 m³
Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
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Answer:
The options 2√20 and 4*5^(1/2) and 3*5^(1/2) + 5^(1/2) are the only expressions that are equivalent to 4√5
Step-by-step explanation:
We will factorise and simplify each term to get 4√5 in the end:
a) 2√20
2√5*4
2√5√4
2*2√5 Because √4 = 2
4√5
b)6^1/2 +5^1/2
√6 + √5
√2√3 + √5
c) 3*5^(1/2) + 5^(1/2)
3*√5 + √5
√5 (3*1 + 1)
√5 (3 + 1)
√5 (4)
4√5
d) 4*5^(1/2)
4√5 Because any integer with power 1/2 = √
e) 2√10
2√5*2
2√5√2
f) 3*5^(1/2)
3√5
