Given f(x) = $(4 – x} , what is the value of F (16)?
1 answer:
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First, you should equalize the denominator of first and second fraction. If the denominator multiplies by (x-5), so does the numerator. If the denominator multiplies by (x+3), so does the numerator.
(Look into my attachment at the second row)
Second, simplify the algebraic form for the numerator.
(Look into my attachment at the fourth row)
Third, simplify the denominator
(Look into my attachment at the last row)
(Look into my attachment at the second row)
Second, simplify the algebraic form for the numerator.
(Look into my attachment at the fourth row)
Third, simplify the denominator
(Look into my attachment at the last row)
Answer:
10cm
Step-by-step explanation:
First let's define variables a and x:
a = area of rectangle and square
x = side of square
Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:
Using square:
Using rectangle:
Now we want to solve for x so let's combine the equations since they are both equivalent to a
Simplify
Solving this we get 10 and -3
Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm
This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:
Using square:
Using rectangle: