How many solutions are there to this equation?
2 answers:
Answer: the correct option is
(b) 0.
Step-by-step explanation: We are given to find the number of solutions for the following linear equation :
To find the number of solutions of the given equation, we must try to solve the equation and find the value of x.
From equation (i), we have
which can never be possible.
Thus, the given equation has NO solution.
Option (b) is CORRECT.
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Answer:
or
or equivalently:
or
Step-by-step explanation:
To express the Fahrenheit temperature <em>as a linear function of the Celsius temperature</em>, F(c), we can proceed as follows.
We can use here <em>the two-point form</em> <em>equation</em> of a line:
[1]
We are asked to express the <em>Fahrenheit temperature</em> as a function of <em>Celsius temperature</em>, so the independent variable, in this case, is <em>x</em> (Celsius temperature) and the dependent variable is <em>y</em> (Fahrenheit temperature).
When temperature is zero degree Celsius (), the Fahrenheit temperature is 32 (
).
When the Celsius temperature is 100 (), the corresponding Fahrenheit temperature is 212 (
).
Then, using [1], we have:
.
It could be also be written as:
=
, as it commonly appears in books.
Then <em>the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c</em>) is ( solving the equation for <em>y </em>) :
or
.
Or equivalently:
or
We can check this using the given values from the question:
For 0 Celsius degrees, the Fahrenheit temperature is:
= 32 Fahrenheit degrees.
For 100 Celsius degrees, the Fahrenheit temperature is:
= 212 Fahrenheit degrees.