When \(x^{-1}-1\) is divided by x − 1, the quotient is

If the zeros of function f defined above are represented by r, s, and t,
what is the value of the sum r + s + t?

Which of the following is equal to \(y^{\frac{3}{2}}\) for all values of y for which the
expression is defined?

In an electrical circuit, the voltage, E, in volts, the current, I, in amps,
and the opposition to the flow of current, called impedance, Z, in ohms,
are related by the equation E = IZ. What is the impedance, in ohms, of
an electrical circuit that has a current of (3 + i) amps and a voltage of
(−7 + i) volts?

A meteorologist estimates how long a passing storm will last by using
the function\(t(d)=0.08d^{\frac{3}{2}}\) where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles

If p(x) is a polynomial function and p(4) = 0, then which statement is
true?

If 10^k= 64, what is the value of \(10^{\frac{k}{2}+1}\)

If 27^{x}=9^{y-1}, then

Which expression is equivalent to \(\frac{(2xy)^{-2}}{4y^{-5}}\)

Which of the following is equal to for all values of \(b^{\frac{1}{2}}\) for which the expression is defined?

$$\frac{t}{t-3}-\frac{t-2}{2}=\frac{5t-3}{4t-12}$$
If x and y are solutions of the equation above and y > x, what is the
value of y − x?

$$\frac{3}{2}=\frac{-(5m-3)}{3m}+\frac{7}{12m}$$
What is the solution for m in the equation above?

Which of the following is equal to (13 + 17i)(4 − 9i)?

If n is a negative integer, which statement is always true?

If a, b, and c are positive numbers such that \(\sqrt{\frac{a}{b}}=8c\) and ac = b, what is the value of c?

if\((2rs)^{-1}=3s^{-2}\), what is the value of \(\frac{r}{s}\)?

$$\frac{y^{3}+3y^{2}-y-3}{y^{2}+4y+3}$$
The expression above is equivalent to

If \(3^{x}=81 \, and\, 2^{x+y}=64,\, then\, \frac{x}{y}=\)

If y is not equal to 0, what is the value of \(\frac{6(2y)^{-2}}{(3y)^{-2}}\)?

$$\frac{16a^{4}-81b^{4}}{8a^{3}+12a^{2}b+18ab^{2}+27b^{3}}$$
Which of the following expressions is equivalent to the expression
above?

Which expression is equivalent to \((9x^{2}y^{6})^{-\frac{1}{2}}\)

Function g is defined by the equation below. If g (−8) = 375, what is
the value of a?
$$g(x)=a\sqrt{a(1-x)}$$

(9 + 2i)(4 − 3i) − (5 − i)(4 − 3i)
The expression above is equivalent to which of the following?

\(\frac{\sqrt[3]{a^{8}}}{(\sqrt{a})^{3}}=a^{x}\), where a>1
In the equation above, what is the value of x?

Which of the following is equivalent to 2i²+ 3i³?

Which of the following is equal to \(i^{50} + i^{0}?\)

Which of the following is equal to (x + i)²− (x − i)²?

If m and p are positive integers and
\((2\sqrt{2})^{m}=32^{p},\, what \, is\, the \, value \, of\, \frac{p}{m}\)

If (x − yi) + (a + bi) = 2x and i = √-1, then (x + yi)(a + bi) = 

Which of the following complex numbers is equivalent to \(\frac{3+i}{4-7i}\)?

If \(\sqrt{m} = 2p\; then\: m^{\frac{3}{2}}=\)

$$p(t)=t^{5}-3t^{4}-kt+7k^{2}$$
In the polynomial function above, k is a nonzero constant. If p(t) is
divisible by t − 3, what is the value of k?

(y²+ ky − 3)(y − 4) = y³ + by²+ 5y + 12
In the equation above, k is a nonzero constant. If the equation is true
for all values of y, what is the value of k?

The expression \(\frac{x^{2}}{\sqrt{x^{3}}}\)is equivalent to

If x = 3i, y = 2i, z = m + i, and i =√-1 , then the expression xy²z =