A. First move all to the left side of the equation(Normal form)
x^3 - 49x= 0
B. Factor out an x, which is the GCF (Factored form)
x(x^2 - 49) = 0
C. Find solutions by making each x piece equal to 0. The first part is just x=0 and the second part is just factoring the difference of squares and then solving.
x=0, x^2 - 49 =0
x=0, x + 7 = 0, x - 7 = 0
Therefore, the answers for Part C are:
x = 0, x = -7, x = 7
The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
well, an hour has 60 minutes, that means 10+10+10+10+10+10 minutes.
we know she can do ½ mile in 10 minutes, so in an hour, she'll be doing
½+½+½+½+½+½ miles, and you know how much that is.
Answer:
8 ft
Step-by-step explanation:
The side length of the base is the square root of the area of the square, so is 12 ft. Then the distance from the center of one side to the center of the square base is 6 ft, The height of the pyramid completes a right triangle with side 6 ft and hypotenuse 10 ft. Then the height is given by the Pythagorean theorem as ...
height = √((10 ft)^2 - (6 ft)^2) = √(64 ft^2)
height = 8 ft
