How many square feet of outdoor carpet will we need for this hole? 12ft , 2ft, 2ft, 4ft
1 answer:
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Answer:
Inverse function is .
Step-by-step explanation:
Given function is .
Now we need to find the inverse of the given function.
Step 1: replace f(x) with y
Step 2: switch x and y
Step 3: solve for y
Hence required inverse function is .
Answer:
Therefore x=9
Step-by-step explanation:
Give that,
log x+ log (x-3) = log 54
log x(x-3) =log 54 [ ]
x(x-3) = 54
Now expand the above equation to get a quadratic equation
x²-3x=54
⇒x²-9x+6x-54=0
⇒x(x-9)+6(x-9)=0
⇒(x-9)(x+6)=0
⇒x-9=0 or, x+6=0
⇒x=9,-6
Now putting x= -6 in the given expression,
log(-6)+log(-6-9)=log 54.
Since log (-6) does not exist.
Therefore x=9
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
Divide both sides by 12.
Now, the measures of sides are:
Similarly,
And,
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.