Answer:
the value of s is 7.5 ...............
Answer: -2
Step-by-step explanation: Let the unknown number be " a"
From the statement,
a^2 - 12 = 4a ..... this is a quadratic equation
i.e a^2 - 4a - 12 = 0
factorizing the quadratic expression
( a + 2 ) ( a - 6 ) = 0
i.e a = -2 or 6
so, the negative solution is -2
Answer:
Step-by-step explanation:
Note that the cost function is
, which gives us the cost of electricity for x hours of consumption
a). The function ![c^{-1}(x)[tex] which is the inverse function, tells us given a cost, the amount of hours we can consume electricty. b) Consider the equation [tex]y=7.1+23\ln(x)](https://tex.z-dn.net/?f=c%5E%7B-1%7D%28x%29%5Btex%5D%20which%20is%20the%20inverse%20function%2C%20tells%20us%20given%20a%20cost%2C%20the%20amount%20of%20hours%20we%20can%20consume%20electricty.%20%3C%2Fp%3E%3Cp%3Eb%29%20Consider%20the%20equation%20%3C%2Fp%3E%3Cp%3E%5Btex%5Dy%3D7.1%2B23%5Cln%28x%29)
To find out the inverse function, we interchange the labels of x and y and solve for y, that is
when solved for y we have

So the inverse function is given by
.
c) We will use the inverse function to find the amount of hours the customer can use eelectricity. It is simple obtained by evaluating the inverse function at the desired cost (i.e
)
that is

that is, the custome can consume at most 1.41 hours of electricity.