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What is the number of real solutions? \( \begin{array}{ll}\text { 8. }-x^{2}+9 x+7=0 \\ \begin{array}{ll}\text { a. one solution } & \text { c. two solutions } \\ \text { b. no real solutions } & \text { d. cannot be determined } \\ \text { 9. } 8 x^{2}-11 x=-3 & \text { c. no real solutions } \\ \begin{array}{ll}\text { a. one real solution } & \text { d. cannot be determined } \\ \text { b. two real solutions } & \text { c. two solutions } \\ \text { 10. } x^{2}=-7 x+7 & \text { d. cannot be determined }\end{array}\end{array} .\end{array} \)
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Factor the trinomial: \( x^{2} + 7x + 10 \)
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Af \( a: b=4: 7, b: c=10: 7 \) then \( a: b: c= \) ?
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Solve the inequality and express the solution set in set-builder notation and interval notation. Graph the solution set on the real number line. \( 8(n+3)-3 n \leq 5(n+6) \) Express the solution in set-builder notation. Select the correct choice below and fill in any answer boxes in your choice. (Use integers or fractions for any numbers in the expression.) B. The solution is all real numbers. C. The solution is the empty set. Textbook Ask my instructor
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(1.2) \( \frac{1}{4} \) as a decimal fraction: (a) 0,25 (b) 0,20 (c) 0.40 (d) 0.801
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1. that among these are Life, Liberty, and the pursuit of Happiness. These basic rights are guaranteed in the - A Declaration of Independence B Articles of Confederation (C) Bill of Rights (D) Virginia Statue for Religious Freedom
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\( \lim _ { x \rightarrow \infty } \frac { e ^ { x } \cdot \operatorname { ch } ( 2 x ) } { \operatorname { sh } ( 3 x ) } \)
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The cost to produce \( x \) items is modeled by \( C(x)=0.003 x^{2}+3.2 x+60 \) dollars and the revenue from selling \( x \) items is given by \( R(x)=6 x \) dollars. a. Find the marginal profit when 359 items are sold using the formula \( P(x+1)-P(x) \). (Round your answer to three decimal places.) b. Use the derivative to estimate the marginal profit when 359 items are sold. (Round your answer to three decimal places.)
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13. Sean el plano \( \pi \equiv 2 x+k y+z-6=0 \) y la recta \( r \equiv\left\{\begin{array}{l}x=2 t \\ y=2+6 t \\ z=2-4 t\end{array}\right. \) a) ¿Para qué valor de \( k \) la recta es paralela al plano? b) Para \( k=2 \), halla el ángulo que forman el plano \( \pi y \) la recta \( r \).
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24) What is the period of the function : \( f(x)=\frac{-2}{3} \cos \left(\frac{\pi}{4}+4 x\right) \) a) \( 2 \pi \) b) \( \frac{3 \pi}{2} \) c) \( \pi \) d) \( \frac{\pi}{2} \)
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