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Home Question Bank Math Algebra Archive 2024 November 10

Algebra Questions from Nov 10,2024

Browse the Algebra Q&A Archive for Nov 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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6 Multiple Choice 1 point How would you describe the graph of \( y=x^{2}+7 \) ? Its vertex is at \( (0,7) \) and it opens upwark. Its vertex is at \( (0,7) \) and it opens to the right. Its vertex is at \( (7,0) \) and it opens to the left. Its vertex is at \( (7,0) \) and it opens downward. Solve the equation \( x^{2}+7=-47 \) \( x=\square \) and \( \square \) 1. \( 15 x^{2}-x-20=3 x^{2} \) 0. The Jones family drove to Disneyland at 50 miles per hour and returned on the same route at 40 mph . Find the distance to Disneyland if the total driving time was 7.2 hours. Simplify the given expression. Write the answer with positive exponents. Assume that all variables represent positive numbers. \( \frac{\left(3 x^{\frac{1}{4}}\right.}{x^{\frac{1}{12}}} \) Find the coordinates of the vertex for the parabola defined by the given quadratic function. \( f(x)=-x^{2}+4 x+5 \) The vertex is \( \square \). (Type an ordered pair.) Find the ordered pair solutions to the system of nonlinear equations given by: \( \left\{\begin{array}{l}y=x+14 \\ x^{2}+y^{2}=106\end{array}\right. \) Save \( f(x)=3 x^{2}+12 x+2 \) The vertex is \( \square \). (Type an ordered pair.) In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. \( f(x)=-4(x+7)^{2}+5 \) The vertex is \( \square \). (Type an ordered pair.) Given that the polynomial function has the given zero, find the other zeros \( f(x)=x^{4}-6 x^{2}+12 x-20 ; 4 \) (Do not factor, express complex numbers in) terms of \( i \)
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