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Questions in mathematics

📝 Answered - Work out $\frac{2}{5} \times \frac{8}{9}$. Give your answer in its simplest form.

📝 Answered - The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. [tex]C(x)=98,000+39 x \text { and } R(x)=46 x[/tex] a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 18,000 radios are produced and sold. a. The company's profit function is [tex]P ( x )=7 x -98,000[/tex]. (Simplify your answer.) b. The company's profit from selling 18,000 radios is $ [$\square$] . (Simplify your answer.)

📝 Answered - A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs \$5 per quart, and lime juice costs \$3 per quart. Each day, the restaurant spends a total of \$36 on 8 quarts of juice. The restaurant manager organizes the information in the table below. | | Amount (quarts) | Cost | Total | | :------------- | :-------------- | :--- | :------- | | Cherry Juice | q | 5 | 5q | | Lime Juice | $8-q$ | 3 | $3(8-q)$ | | Mixture | 8 | | 36 | Which equation can be used to determine the amount of cherry juice in each mixture? A. $5 q+3(8-q)=36$ B. $5 q+3(8-q)=8$ C. $q+(8-q)=8$

📝 Answered - Let $f(x)=x^2-7 x$ and $g(x)=6+x$. Find the following. (a) $(f+g)(x)$ (b) $( f - g )( x )$ (c) $(f \cdot g)(x)$ (d) $\left(\frac{f}{g}\right)(x)$ (e) The domain of $\frac{f}{g}$ (a) $(f+g)(x)=$ $\square$ (Simplify your answer. Do not factor.)

📝 Answered - Simplify the polynomial $(-8 x)+x+(-2 x)$ A) $-5 x$ B) $9 x$ C) $5 x$ D) $-9 x$

📝 Answered - [tex]$\sqrt{25 x_n a^2} b^2 \times \sqrt[3]{8 x^6 y^3}$[/tex]

📝 Answered - Simplify the expression and choose the correct answer: [tex]$3 \sqrt{-49}+2 \sqrt{-36}$[/tex] A. 33 B. -33 C. [tex]$33 i$[/tex] D. [tex]$-33 i$[/tex]

📝 Answered - Complete this item. The conjugate of $12-\sqrt{5}$ is

📝 Answered - Simplify $(x^{\frac{1}{2}})^{\frac{1}{6}}$.

📝 Answered - A bank gives ${ }^4 20,000.00$ in exchange for $2.56. How much in cedis would be given in exchange for $10.50? A. $£ 51,200.00$ B. $62,031.25$ C. $82,031.25$ D. $210,000.00