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Questions (113)
Yes, because of complex-not real-solutions. For instance, if it has two real roots or x-intercepts and two complex conjugate
1 answer
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Question
In 3–5 sentences, describe why real numbers and purely imaginary numbers are also complex numbers composed of real and
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A polynomial equation includes the term 8x5
. According to the Fundamental Theorem of Algebra, which statement must be true?(1
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Apply the Fundamental Theorem of Algebra to find the number of roots for the equation 12x−6x2+3x4=6x3+2x−x4
.(1 point) roots
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Show that the Fundamental Theorem of Algebra is true for the quadratic polynomial −4x2−24x−36=0
by using the quadratic
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Use the image to answer the question.
A curve is graphed on a coordinate plane. The plane’s x-axis ranges from negative 5 to 5
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17 of 2517 of 25 Items
Question Solve the equation −7x2−10=−12x . Write your conjugate pair solution(s) as two values
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Complex Numbers Unit Test
16 of 2516 of 25 Items Question One of the solutions to the equation x3+5x2+10x+50=0 is −5 . Find the
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Use the quadratic formula to solve the quadratic equation 10x2+5x=5x−8
. Express its solutions in the form a±bi .(1 point)
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Use the discriminant to determine the number of real solutions of 3x2+6x−42=0
.(1 point) real solution(s)
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Which of the following accurately describes what the graph of y=5x2+50x+125
looks like, with the repeated root of x=−5 ?
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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:
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11 of 2511 of 25 Items
Question Multiply (−10+5i)(−10−5i) .(1 point)
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Calculate the subtraction (8.5−1.8i)−(−1.3+2.7i)
. Provide the answer in the form of a+bi .(1 point)
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Use the properties of complex numbers to simplify (−49−−−−√+5i)+(8−−4−−−√)
.(1 point) Responses 13+9i 13
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Complex Numbers Unit Test
8 of 258 of 25 Items Question Apply the Distributive Property to show 3i[(2i)+(−3i−5)] in its
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Complex Numbers Unit Test
7 of 257 of 25 Items Question Which of the following is equivalent to the expression (i⋅5–√)⋅3
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only one anwser
Complex Numbers Unit Test 5 of 255 of 25 Items Question Solve the equation −x2−3x=5−3x and re-express the
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Complex Numbers Unit Test
5 of 255 of 25 Items Question Solve the equation −x2−3x=5−3x and re-express the answer as a
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Complex Numbers Unit Test
4 of 254 of 25 Items Question In the number 7+3i , what type of number is 3i ?(1 point) Responses
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Complex Numbers Unit Test
3 of 253 of 25 Items Question The imaginary numbers are a subset of what type of number(s)?(1 point)
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Use the image to answer the question.
A solid concave up parabola and a dotted concave up parabola are plotted in a coordinate
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Complex Numbers Unit Test
1 of 251 of 25 Items Question How many real solutions does −15x2−3=2(7x2−1.5) have?(1 point) real
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Financial Markets Channeling Funds Quick Check
6 of 66 of 6 Items Question Explain the differences in how a 401k, a Roth IRA, and
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Financial Markets Channeling Funds Quick Check
5 of 65 of 6 Items Question Which of these displays the function of the financial
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Financial Markets Channeling Funds Quick Check
4 of 64 of 6 Items Question Which of the following illustrates the function of the
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Financial Markets Channeling Funds Quick Check
3 of 63 of 6 Items Question Which of the following is an example of direct
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Financial Markets Channeling Funds Quick Check
2 of 62 of 6 Items Question Nasdaq, the American Stock Exchange, and the OTC
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Financial Markets Channeling Funds Quick Check
1 of 61 of 6 Items Question Which of the following is an example of capital
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Photosynthesis: Energy Conversion Quick Check
5 of 55 of 5 Items Question Glucose is a carbohydrate formed by using energy to
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Photosynthesis: Energy Conversion Quick Check
4 of 54 of 5 Items Question Which is a simplified equation for photosynthesis?(1
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Photosynthesis: Energy Conversion Quick Check
3 of 53 of 5 Items Question In photosynthesis, light energy is(1 point) Responses
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Photosynthesis: Energy Conversion Quick Check
1 of 51 of 5 Items Question ATP and photovoltaic cells are similar because(1 point)
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Minerals Quick Check
3 of 33 of 3 Items Question Which items are TRUE about minerals? Select the three correct answers.(2 points)
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Minerals Quick Check
1 of 31 of 3 Items Question A streak plate may be used to identify which mineral property?(1 point)
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Rock Types and Cycle Quick Check
4 of 44 of 4 Items Question Which process would change metamorphic rock to igneous rock?(1
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As magma heats in the mantle, it becomes
and begins to . This results in the magma traveling to the crust where it cools and
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Rock Types and Cycle Quick Check
2 of 42 of 4 Items Question Which type of rock contains fossils? Select the correct answer.(1
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Rock Types and Cycle Quick Check
1 of 41 of 4 Items Question What should a model of the rock cycle show as the process that
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Two investors are each issued one bond with the same face value, maturity date, and yield. After both bonds have reached
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Bonds and Financial Assets Quick Check
4 of 54 of 5 Items Question Which of the following is an example of a bond being traded on
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A bond issued by the U.S. Treasury with a maturity of 90 days is sold on the(1 point)
Responses primary market. primary market.
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Bonds and Financial Assets Quick Check
2 of 52 of 5 Items Question A bond is issued with a $500 face value, a 2% yield, and a
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Bonds and Financial Assets Quick Check
1 of 51 of 5 Items Question Destiny prefers investments that offer the highest possible
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The Free Enterprise System Quick Check
5 of 55 of 5 Items Question Skylar is looking to purchase real estate as an investment
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The Free Enterprise System Quick Check
5 of 55 of 5 Items Question Skylar is looking to purchase real estate as an investment
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The Free Enterprise System Quick Check
5 of 55 of 5 Items Question Skylar is looking to purchase real estate as an investment
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The Free Enterprise System Quick Check
4 of 54 of 5 Items Question Elena is excited to invest, but she is worried that she might
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The Free Enterprise System Quick Check
3 of 53 of 5 Items Question Investors are often presented with risky investment
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The Free Enterprise System Quick Check
2 of 52 of 5 Items Question Muhammad is considering investing some of his hard-earned cash
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Which of the following is an example of financial investment?(1 point)
Responses an individual purchases ice cream to be consumed
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Photosynthesis Quick Check
5 of 55 of 5 Items Question The light-independent reactions of photosynthesis is also known as(1
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Photosynthesis Quick Check
4 of 54 of 5 Items Question Suppose you seal a house plant in a transparent glass container. What
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Photosynthesis Quick Check
3 of 53 of 5 Items Question During the process of Photosystem I, NADP+ is changed into NADPH . NADPH
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Photosynthesis Quick Check
2 of 52 of 5 Items Question Which option is a light wavelength that chlorophyll does not absorb?(1
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Photosynthesis Quick Check
1 of 51 of 5 Items Question Photosynthesis occurs in a plant cell’s(1 point) Responses ribosomes.
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U.S. Banking in the 20th Century Quick Check
5 of 55 of 5 Items Question A significant amount of legislation passed in the 20th
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U.S. Banking in the 20th Century Quick Check
4 of 54 of 5 Items Question Elijah is concerned that his bank is making poor
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U.S. Banking in the 20th Century Quick Check
3 of 53 of 5 Items Question Which of the following is a 20th-century banking
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U.S. Banking in the 20th Century Quick Check
2 of 52 of 5 Items Question Which of the following describes the practice of
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U.S. Banking in the 20th Century Quick Check
1 of 51 of 5 Items Question The Gold Standard Act of 1900 ended the standard known
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Biogeochemistry Cycles Quick Check
5 of 55 of 5 Items Question Which energy source moves water through the water cycle?(1 point)
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Biogeochemistry Cycles Quick Check
4 of 54 of 5 Items Question Which statement best describes 0.3 percent of the water found on
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Biogeochemistry Cycles Quick Check
3 of 53 of 5 Items Question How do plants release water into the atmosphere?(1 point)
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If a hurricane forms in the Atlantic Ocean, what is the minimum surface temperature the water can be?(1 point)
Responses 30°F
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Biogeochemistry Cycles Quick Check
1 of 51 of 5 Items Question What is produced by plants during photosynthesis?(1 point)
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Determining Earth's Interior Structure Quick Check
3 of 33 of 3 Items Question Which strategy can scientists use to learn about
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Determining Earth's Interior Structure Quick Check
1 of 31 of 3 Items Question What is the Mohorovičić discontinuity?(1 point)
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Which step is considered first in the editing process?
* 1 point Proofreading Revising Which editing step involves improving the
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Banking in the U.S. Before 1900 Quick Check
5 of 55 of 5 Items Question Which of the following difficulties would Andrew Jackson
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Banking in the U.S. Before 1900 Quick Check
4 of 54 of 5 Items Question Which of the following reflects the decentralization that
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Banking in the U.S. Before 1900 Quick Check
3 of 53 of 5 Items Question Which of the following policies was implemented in the
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Banking in the U.S. Before 1900 Quick Check
2 of 52 of 5 Items Question Who supported and led the push for chartering the first
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Banking in the U.S. Before 1900 Quick Check
1 of 51 of 5 Items Question Which of the following acts was passed to help fund the
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Properties of Money Quick Check
6 of 66 of 6 Items Question Which of the following answers applies to a form of fiat money and
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Properties of Money Quick Check
5 of 65 of 6 Items Question Which of the following illustrates the difference between the U.S.
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Properties of Money Quick Check
4 of 64 of 6 Items Question Elementary school students often trade food items at lunch in an
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Properties of Money Quick Check
3 of 63 of 6 Items Question Consider a hypothetical economy in which rice functions as money. In
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Properties of Money Quick Check
2 of 62 of 6 Items Question Gold has historically functioned as money. This is due, in part, to
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Properties of Money Quick Check
1 of 61 of 6 Items Question Sarah has an apple and Ava has a bag of chips. Sarah would rather
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Magnesium hydroxide reacts with nitric acid to produce magnesium nitrate and water.
Mg(OH)2+2HNO3→Mg(NO3)2+2H2O In one to two
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Use the periodic table to complete the activity.
An illustration shows the periodic table of elements. The elements in the
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Which element is most likely to be reduced in a reaction?(1 point)
Responses hydrogen hydrogen magnesium magnesium sodium sodium
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Chemical Reactions Unit Test
11 of 1411 of 14 Items Question An oxidizing-reduction reaction involves the transfer of electrons
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The left side of a chemical reaction is shown.
Cu + AgNO3 → Which type of reaction will the reactants undergo? (1 point)
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Chemical Reactions Unit Test
8 of 148 of 14 Items Question Which statement correctly compares synthesis and decomposition
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Acid-base reactions, such as this one, can also be classified as which type of reaction?
NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)
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Chemical Reactions Unit Test
5 of 145 of 14 Items Question One molecule of bromine (Br2) and two molecules of potassium chloride
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According to the Law of Conservation of Mass, if 88 g of carbon dioxide ( CO2
) is produced in a reaction between oxygen (O) and
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Use the equation to answer the question.
CH4+2O2→CO2+H2O Which statement describes why this chemical equation is not correct?
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Chemical Reactions Unit Test
2 of 142 of 14 Items Question How many atoms of carbon (C) are present in the reactants of the
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Chemical Reactions Unit Test
1 of 141 of 14 Items Question Which of the following equations shows a chemical change?(1 point)
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The Composition of Earth's Layers Quick Check
3 of 43 of 4 Items Question Which of the following layers of Earth is a liquid
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The Composition of Earth's Layers Quick Check
2 of 42 of 4 Items Question Which layer is found at Earth's center?(1 point)
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The Composition of Earth's Layers Quick Check
1 of 41 of 4 Items Question Drag each item to the correct location.(2 points) Put
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15 of 1815 of 18 Items
Question In one to two sentences, compare and contrast how sole proprietorships, partnerships, and
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What is a way for a company or individual to increase their human capital?(1 point)
Responses Hiring an additional worker with
1 answer
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Business and Labor Unit Test
12 of 1812 of 18 Items Question Explain one way in which hiring an additional worker could lead to
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Which of the following describes the primary difference between craft and industrial unions?(1 point)
Responses Workers from
1 answer
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In arbitration, what do leaders of the labor union and the representatives of company management agree to?(1 point)
Responses to
1 answer
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