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Álgebra preguntas y respuestas

Q:
The rent charged for 2 different sized office spaces in an office building is as follows: 600 square feet for \( \$ 1250 \) and 900 square feet for \( \$ 1850 \). The rent includes not only the cost per square foot (which is the same no matter the size) but also includes a processing fee. How much is the processing fee?
Q:
8) Andrea is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of \( \$ 230 \) for materials and equipment rental plus \( \$ 65 \) per hour for labor. Company B gave an estimate of \( \$ 335 \) for materials and equipment rental plus \( \$ 50 \) per hour for labor. Determine how many hours of labor will be required for the two companies to cost the same.
Q:
Rationalize the denominator: \( \frac{-4}{3+\sqrt{6}} \) The result can be expressed in the form \( \frac{A}{B} \) where \( A=\square \) \( B=\square \)
Q:
\begin{tabular}{l} The last digit of a six-digit number is 2 . If the \\ 2 is moved to the start of the number, the \\ new six-digit number is only a third of the \\ original number. Find the original number. \\ A A B C D E \\ \hline A D E 2 \end{tabular}
Q:
(3) Match each polynomial on the left with its two factors on the right. \[ \begin{array}{l} x^{3}+64 \\ x+4 \\ x^{3}-64 \\ x-4 \\ x^{2}+4 x+16 \\ x^{2}+4 x-16 \\ x^{2}-4 x+16 \\ x^{2}-4 x-16\end{array} \]
Q:
make \( g \) the subject \( T=2 n \sqrt{\frac{h^{2}+h^{3}}{g h}} \)
Q:
4. \( \frac{2 x}{3}-2=4 \)
Q:
Rationalize the denominator: \( \frac{-4}{3+\sqrt{6}} \) The result can be expressed in the form \( \frac{A}{B} \) where \( A=\square \) \( B=\square \)
Q:
nd the solution of the linear inequality and express the solution set in set-builder notation and interval notation. Graph the solution set on the real number line. \( 8-3(1-x) \leq 6 \) A. The solution set is \( \{x \mid \) (Use integers or fractions for any numbers in the expression.) B. The solution is all real numbers. C. The solution is the empty set.
Q:
Which factor do \( 64 x^{2}+48 x+9 \) and \( 64 x^{2}-9 \) have in common? \( 8 x+3 \) \( 8 x-3 \) \( 64 x^{2} \) \( 8 x+9 \)

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