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Questions in mathematics

📝 Answered - Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) [tex]x^4-9 x^2+18=0[/tex]

📝 Answered - Let [tex]$y=u$[/tex] and [tex]$y=d$[/tex] be unique solutions to the given equation. What is the value of [tex]$u \cdot d$[/tex]?

📝 Answered - The table below models the cost, $y$, of using a high-efficiency washing machine and a standard washing machine over $x$ number of years. | Number of Years | High-Efficiency Cost($) | Standard Cost($) | |---|---|---| | 1 | 525 | 430 | | 2 | 550 | 460 | | 3 | 575 | 490 | Which equation represents the cost of the high-efficiency washing machine over a given number of years? Which equation represents the cost of the standard washing machine over a given number of years? After how many years of use would the washing machines cost the same amount? Which washing machine would be the more practical purchase if kept for 9 years?

📝 Answered - Evaluate $3|-5|-2|-2|$

📝 Answered - Which function will have a $y$-intercept at -1 and an amplitude of $2 ?$ A. $f(x)=-\sin (x)-1$ B. $f(x)=-2 \sin (x)-1$ C. $f(x)=-\cos (x)$ D. $f(x)=-2 \cos (x)-1$

📝 Answered - Simplify the expression. Evaluate coefficients if the exponent is an integer. [tex]\left(\frac{x^{-1} y}{z^4}\right)^{-4}[/tex]

📝 Answered - Jessica is planning a trip to South Africa. The following table shows some of her planned expenses for this trip, and whether these expenses are in US dollars ($) or South African rands (R). | Item | Cost | Currency | | ---------------- | -------- | -------- | | Guide book | 216.41 | R | | Walking shoes | 702.33 | R | | Passport | 71.75 | $ | | Car rental | 996.78 | R | | Plane ticket | 3,741.85 | R | | Hotel reservation | 138.10 | $ | If the exchange rate of US dollars to South African rands is 17.4094, what is the current total of Jessica's budget, in US dollars? Round all currencies to two decimal places. A. $763.54 B. $791.86 C. $973.39 D. $1,001.71

📝 Answered - Which of the following is not a polynomial identity? A. [tex]$a^3+b^3-(a-b)\left(a^2-a b+b^2\right)$[/tex] B. [tex]$\left(a^2+b^2\right)\left(c^2+d^2\right)=(a c-b d)^2+(a d+b c)^2$[/tex] C. [tex]$a^2-b^2=(a+b)(a-b)$[/tex] D. [tex]$a^3-b^3-(a-b)\left(a^2+a b+b^2\right)$[/tex]

📝 Answered - Simplify: \(-\frac{5}{16} + \frac{11}{18} + \left(-\frac{7}{24}\right)\)

📝 Answered - Write the place value of the underlined digit. 1. 5169 2. 5668 3. 7258 4. 864 5. 42164