Archive day

November 18, 2025

3,534 public questions were asked on this day.

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Which of the following is the correct equation for the unit circle?(1 point) Responses (x)2+(y)2=4 left parenthesis x plus 2 right parenthesis squared plus left parenthesis y plus 3 right parenthesis squared equals 16 (x...
Asked by Mason 1 answer
Use the Fundamental Theorem of Algebra to determine which of the following equations have two solutions. Explain your reasoning in 3–5 sentences. a. −9x+4x2+3=0 b. −2x2−5=0 c. 57x2=0 d. 0x2+7x−2=0 e. 0x3−x2+2x+4=0 (4 poi...
Asked by Mason 1 answer
Question Solve the quadratic equation y=x2−8x+20 . Show your work by using the quadratic formula. Write your answers in the form x=a±bi .(4 points)
Asked by Mason 1 answer
In 3–5 sentences, explain why complex solutions come in conjugate pairs. Consider the structure of the quadratic formula in your response.(4 points)
Asked by Mason 1 answer
In 3–5 sentences, A. Describe why purely real numbers and purely imaginary numbers are also complex numbers. B. Describe how to identify the real part versus the imaginary part of a complex number. C. What does the imagi...
Asked by Mason 1 answer
A polynomial equation includes the term 8x5 . According to the Fundamental Theorem of Algebra, which statement must be true?(1 point) Responses The equation has at most 5 roots. The equation has at most 5 roots. All the...
Asked by Mason 1 answer
Set the equation equal to zero, then apply the Fundamental Theorem of Algebra to find the number of roots for the equation 12x−6x2+3x4=6x3+2x−x4 .(1 point)
Asked by Mason 1 answer
Show that the Fundamental Theorem of Algebra is true for the quadratic polynomial −4x2−24x−36=0 by using the quadratic formula. Which of the following statements accurately describes the solution set? (1 point) Responses...
Asked by Mason 1 answer
Use the image to answer the question. The equation y=x4+3x3−x2−3x has four solutions and is shown in the graph. Which of the following student statements is true? Statement #1: The equation has four non-real solutions be...
Asked by Mason 1 answer
Solve the equation −7x2−10=−12x . Express your solution(s) as a conjugate pair using ± .(2 points)
Asked by Mason 1 answer
One of the solutions to the equation x3+5x2+10x+50=0 is −5 . Find the full solution set. Which of the following options correctly describes the solution set? Option #1: It has one real solution and two non-real solutions...
Asked by Mason 1 answer
Use the quadratic formula to solve the quadratic equation 10x2+5x=5x−8 . Express its solutions in the form a±bi . (1 point) Responses 0±25√5i 0 plus or minus the fraction with numerator 2 square root of 5 and denominator...
Asked by Mason 1 answer
Use the discriminant to determine the number of real solutions of 3x2+6x−42=0 (1 point)
Asked by Mason 1 answer
Which of the following accurately describes what the graph of y=5x2+50x+125 looks like, with the repeated root of x=−5 . Statement #1: the graph opens downward. Statement #2: The graph has a vertex to the right of the x-...
Asked by Mason 1 answer
Which of the following quadratic equations has roots of 2+i and 2−i ? Equation 1: x2−4x+5=0 Equation 2: x2+4x+5=0 Equation 3: x2−4x−5=0 (1 point)
Asked by Mason 1 answer
Multiply (−10+5i)(−10−5i) .(1 point)
Asked by Mason 1 answer
What should a summary identify?(1 point) Responses an analysis of the story an analysis of the story a critique of the story a critique of the story the most important details in a story the most important details in a s...
Asked by IGotYa 1 answer
se the properties of complex numbers to simplify (−49−−−−√+5i)+(8−(−4)−−−−√) .(1 point) Responses 8+10i 8 plus 10 i 8+14i 8 plus 14 i 8+5i+−53−−−−√ 8 plus 5 i plus square root of negative 53 13+9i
Asked by Mason 1 answer
Which one of these statements is true about summaries?(1 point) Responses They can help a reader understand the author. They can help a reader understand the author. They can help a reader remember a story. They can help...
Asked by IGotYa 1 answer
Apply the Distributive Property to show 3i[(2i)+(−3i−5)] in its simplest form. Fill in the missing values: (2 points) - i
Asked by Mason 1 answer
Which of the following is equivalent to the expression (i⋅5–√)⋅3 , which shows that the Associative Property of Multiplication holds true for complex numbers?(1 point) Responses 15i 15 i i⋅(5–√⋅3) i times open paren squa...
Asked by Mason 1 answer
Which of the following is true of the theme of a literary work?(1 point) Responses The theme is mainly important at the beginning of a story or poem and decreases in importance toward the end. The theme is mainly importa...
Asked by IGotYa 1 answer
Which characteristic is true of a theme?(1 point) Responses It is a summary of the plot. It is a summary of the plot. It is not stated by the author outright. It is not stated by the author outright. It is not linked to...
Asked by IGotYa 1 answer
Which description best defines a theme?(1 point) Responses a main idea a main idea an underlying message an underlying message an analysis an analysis a summary
Asked by IGotYa 1 answer
Solve the equation −x2−3x=5−3x and express the answer as a complex number with the imaginary unit. Simplify the radical in the form aib√ .(1 point) ±
Asked by Mason 1 answer