The equation that is given in this item can be mathematically expressed as,
f(x) = (x/7)^(1/3) - 9
The expression f(x) can be replaced with y such that the equation can also be written as,
y = (x/7)^(1/3) - 9
The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
x = (y/7)^(1/3) - 9
Then, solve for the value of y in terms of x.
Transpose the constant to the other side of the equation.
x + 9 = (y/7)^(1/3)
Raise the whole equation by 3 in order to eliminate the radical.
(x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
(x+9)³(7) = y
Thus, the inverse of the function is equal to
<em> f⁻¹(x) = 7(x+9)³
</em><em />The answer is letter B.<em>
</em>
Answer:
4 in
Step-by-step explanation:
volume = 64 in³
side = cubic root of 64 in³
side = 4 in
Check: If a cube has side 4 in, then its volume is 4 in × 4 in × 4 in = 64 in³.
This shows that the answer 4 in is correct.
Answer:
Step-by-step explanation:
This system of equations is convenient, because the second equation already expresses y in terms of x. Now, you can substitute that in.
Multiplying both sides by -1 and bringing the 5 over:
Combining like terms and factoring out 5:
Factoring:
Solutions:
Hope this helps!
Answer:
5
Step-by-step explanation:
Given
← substitute p = 4 and q = 2
= 
= 
= 5
This equation is in slope-intercept form; y = mx+b.
m is the slope and b is the y-intercept, so to find the slope you'd look at the coefficient of x.
In this equation, y = 3x+5, the coefficient of x is 3, so that means that the slope of this equation is 3.
Answer is:
3 is the slope
