The quotient of an expression is the result of dividing the expressions. The quotient of is three-halves. The expression is given as:. Rewrite the expression as a product. Factor out 2. Cancel out m + 2. Express 2(1) as 1. Multiply 2 by 6, and 8 by 1. Divide 12 by 8. 1.5 means three-halves. Hence, the quotient of the expression is three-halves. Read more about quotients at:a. startfraction 1 over startroot 2 (1 cosine x) endroot endfraction b. startfraction 1 over startroot 2 (1 minus cosine x) endroot endfraction c. (startroot startfraction 1 cosine (x) over 2 endfraction endroot) d. (startfraction 1 over 1 minus cosine (x) endfraction) e.Use the quadratic formula to solve 2 x squared minus 1 = 7 x, and then verify your answer by graphing. a. startfraction negative 7 startroot 57 endroot over 4 endfraction, startfraction negative 7 minus startroot 57 endroot over 4 endfraction c. startfraction negative 7 startroot 41 endroot over 4 endfraction, startfraction negative 7 minus startroot 41 endroot over 4 endfraction b ...Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction x = negative eleven-halves plus-or-minus ...To solve the linear equation x - (2/3)x - 1/2 = 1/3 + 5/6x, follow these steps: Simplify the equation, combine like terms, move variables to one side and constants to the other, and solve for x. Explanation:Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 ...Feb 9, 2022 · Which expression is equivalent to startfraction rootindex 4 startroot 6 endroot over rootindex 3 startroot 2 endroot? startfraction rootindex 12 startroot 27 endroot over 2 endfraction startfraction rootindex 4 startroot 24 endroot over 2 endfraction startfraction rootindex 12 startroot 55296 endroot over 2 endfraction startfraction rootindex ...Dec 21, 2022 · StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction is the Square root. What in mathematics is a square root? It is possible to multiply an integer by its square root in order to obtain the original value.Mathematics. Middle School. verified. answered • expert verified. In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction. x = 5plus or minus StartRoot 31 EndRoot.The second line is: StartFraction x Over 6 EndFraction equals StartFraction 29 Over 12 EndFraction = - = -2 lines of math labeled Negative Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction.Which equation is the inverse of y = 9x2 – 4? y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction y = StartFraction plus-or-minus …Question: Find the area of the surface generated by revolving x equals 4 StartRoot 4 minus y EndRoot , 0 less than or equals y less than or equals StartFraction 63 Over 16 EndFraction about the y-axis. about the y - axis. Here's the best way to solve it.Answer: A, B, D Step-by-step edge23. Which algebraic expressions are polynomials? check all that apply. pi x minus startroot 3 endroot 5 y x2y 2 – 4x3 12y startfraction 4 over x endfraction – x2 – 16 3.9x3 – 4.1x2 7.3The exact value of the cosine of 11π / 12 will be given as negatice (1 + √3)/(2√2).. What is trigonometry? The connection between the lengths and angles of a triangular shape is the subject of trigonometry.. The trigonometric expression is given below.. ⇒ cos (11π/12) We know that 11π/12 is equal to 165 degrees. Then we have. cos 165° = cos (45° + 120°)What is the quotient of startstartfraction 90 (cosine (startfraction pi over 4 endfraction) i sine (startfraction pi over 4 endfraction) ) overover 2 (cosine (startfraction pi over 12 endfraction) i sine (startfraction pi over 12 endfraction) ) endendfraction ? star. 5/5. heart. 2.y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction and y = StartFraction 3 minus 6 StartRoot 2 EndRoot Over 4 EndFraction. Step-by-step explanation: The given quadratic equation is (4y - 3)² = 72 We have to solve this equation for y. Now, 4y - 3 = ± 6√2 ⇒ 4y = 3 ± 6√2 ⇒ andMar 2, 2020 · Final answer: The inverse of the equation y = 9x² − 4 is found by switching x and y and solving the equation for the new y. The correct inverse function after simplification is y = ±√(x / 9 + 4). Explanation: To find the inverse of the equation y = 9x2 − 4, you need to switch the roles of x and y and then solve for y once again.LET f left parenthesis x right parenthesis equals StartFraction x squared minus 4 Over x plus 2 EndFractionf (x)=x2−4x+2. (a) Calculate f (x) for each value of x in the following table. (b) Make a conjecture about the value of. ModifyingBelow lim With x right arrow minus 2 StartFraction x squared minus 4 Over x plus 2 EndFractionlimx→−2x2 ...To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x. The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own. Typing Exponents. Type ^ for exponents like x^2 for "x squared". Here is an example:Click here 👆 to get an answer to your question ️ Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 ... Subtract 25 from both sides-6c = -18. Divide by - 6. c = 3. So, we have: ... negative 5 + StartRoot 57 EndRoot Over 2 EndFraction StartFraction negative 5 minus StartRoot 7 EndRoot Over 2 ...Which shows the correct substitution of the values a, b, and c from the equation -2 = -x + x2 - 4 into the quadratic formula? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction x = StartFraction negative (negative 1) plus or minus StartRoot (negative 1) squared minus 4 (1)(negative 4) EndRoot Over 2(1) EndFraction x ...The fraction that we need to multiply by 3/(√17 - √2) to produce an equivalent fraction that will rationalize the denominator is; (√17 + √2)/(√17 + √2) We want to multiply 3/(√17 - √2) by an equivalent fraction that will rationalize the denominator.. In surds, when we want to rationalize a denominator, we multiply both numerator and denominator by the conjugate of the denominator.Feb 9, 2022 · Which expression is equivalent to startfraction rootindex 4 startroot 6 endroot over rootindex 3 startroot 2 endroot? startfraction rootindex 12 startroot 27 endroot over 2 endfraction startfraction rootindex 4 startroot 24 endroot over 2 endfraction startfraction rootindex 12 startroot 55296 endroot over 2 endfraction startfraction rootindex ...Apr 11, 2023 · Which solution finds the value of x in the triangle below? A right triangle is shown. The hypotenuse has a length of 8. Another side has a length of x. The angle between the hypotenuse and the other side is 60 degrees. Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. …To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x. The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own. Typing Exponents. Type ^ for exponents like x^2 for "x squared". Here is an example:Mar 25, 2024 · The given quotient is (3√8 / 4√6) / (12√2 - 6√3 / 5).To simplify the given expression, we can multiply the numerator and denominator by the conjugate of the denominator expression.This will help eliminate the radicals in the denominator.. Multiply the numerator and denominator by the conjugate of the denominator expression: 5(3√8 / …Find ModifyingBelow lim With h right arrow 0StartFraction StartRoot 4 h plus 1 EndRoot minus 1 Over h EndFraction. Your solution's ready to go! Enhanced with AI, our expert help has broken down your problem into an easy-to-learn solution you can count on.The inverse of the function,y = 16x² + 1 will be,.Equation D will represent the inverse of the given function.. What is the equation? A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.. Given equation: y = 16x² + 1. The inverse of the function is obtained by changing the place of variables as;A. (x | all real numbers ); ( | y>0 ) Simplify the function f (x)=1/3 (81)^3x/4. Then determine the key aspects of the function. 13, 27, all real numbers, y>0. Explain why the square root of a number is defined to be equal to that number to the 1/2 power. (Put this in your own words) Squaring and square root are inverses, so one should "undo ...Feb 9, 2022 · Click here 👆 to get an answer to your question ️ What is the following quotient? StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 S…Clerk, an early-stage startup, wants to make it easy for front-end web developers to add identity to an application. Developers building front-end Jamstack web applications often s...Dec 14, 2023 · A question and answer site for mathematics students. The answer is 1/4, with a step-by-step explanation and a verified answer. See similar questions and solutions.Find StartFraction d squared y Over dx squared EndFraction. . yequalsnegative 5 xSuperscript 9 minus 7. Here's the best way to solve it. Powered by Chegg AI. Share Share.Free rationalize numerator calculator - rationalize numerator of radical and complex fractions step-by-stepiOS: Managing contacts on iOS is not a particularly pleasant experience, and organizing any kind of group chat over email or text is a chore. Interact is a contacts manager that si...To solve the linear equation x - (2/3)x - 1/2 = 1/3 + 5/6x, follow these steps: Simplify the equation, combine like terms, move variables to one side and constants to the other, and solve for x. Explanation:The required answer is StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction, which is . The quadratic equation's general structure is ax² + bx + c = 0 Here the given equation is 4x² + 2x - 1 = 0 . These equations can be compared to see that a = 4, b = 2, c = -1Dec 11, 2020 · Final answer: The equivalent expression of √6 divided by ∛2 is found by converting the radicals to fractional exponents and simplifying the expression to a single numerical value, which is 54. Explanation: To express the given expression of radical terms with fractional exponents, it's important to understand the relationship between the two.Click here 👆 to get an answer to your question ️ Find the exact value of Cosine (StartFraction 5 pi Over 6 EndFraction) cosine (StartFraction pi over 12 EndF…Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)? StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction ...Feb 4, 2020 · Click here 👆 to get an answer to your question ️ Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 ... 7x + 1. x = StartFraction 7 plus or minus StartRoot 37 EndRoot Over 6 EndFraction x = StartFraction negative 7 plus or minus StartRoot 37 EndRoot Over 6 EndFraction ...The real solutions to the equation 3x5 + 25x4 + 26x3 - 82x2 + 76x = 48 are shown on the graph. What are the nonreal solutions? StartFraction 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 ...StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction is the Square root. What in mathematics is a square root? It is possible to multiply an integer by its square root in order to obtain the original value.Precalculus questions and answers. Answer the questions about the following function. f left parenthesis x right parenthesis equals StartFraction x plus 12 Over x minus 8 EndFractionf (x)=x+12 x−8 (a) Is the point left parenthesis 2 comma negative 19 right parenthesis (2,−19) on the graph of f? (b) If x = 3 comma3, what is f (x)?a. startfraction 1 over startroot 2 (1 cosine x) endroot endfraction b. startfraction 1 over startroot 2 (1 minus cosine x) endroot endfraction c. (startroot startfraction 1 cosine (x) over 2 endfraction endroot) d. (startfraction 1 over 1 minus cosine (x) endfraction) e.What are the zeros of the quadratic function f(x) = 2x2 + 16x - 9? x = -4 - StartRoot StartFraction 7 Over 2 EndFraction EndRoot and x = -4 + StartRoot StartFraction 7 Over 2 EndFraction EndRoot x = -4 - StartRoot StartFraction 25 Over 2 EndFraction EndRoot and x = -4 + StartRoot StartFraction 25 Over 2 EndFraction EndRoot x ...For the complex number z = StartFraction 5 StartRoot 3 EndRoot Over 4 EndFraction minus StartFraction 5 Over 4 EndFraction i ,what is the polar form? correct one - A.) z = five-halves (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) B.) z = five-fourths (cosine (StartFraction pi Over 6 EndFraction ...Sep 2, 2023 · Consider w = startfraction startroot 2 endroot over 2 endfraction (cosine (225 degrees) i sine (225 degrees) ) and z = 1(cos(60°) isin(60°)). what is w z expressed in rectangular form? startfraction startroot 3 endroot minus 1 over 4 endfraction i startfraction startroot 3 endroot 1 over 4 endfraction i startfraction startroot 3 endroot minus 1 over 2 endfraction i startfraction startroot 3 ...Trish is solving for the zeros of the quadratic function f(x) = 2x2 – 3x + 3. x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction x = StartFraction negative (negative 3) plus or minus StartRoot (negative 3) squared minus 4 (2)(3) EndRoot Over 2 (2) EndFraction x = StartFraction 3 plus or minus StartRoot b 9 + 32 EndRoot Over 4 EndFraction x ...The polar form of z is 6√2(cos(135°) + isin(135°)).. What Is Polar Form of Complex Numbers? Complex numbers are represented in polar form as the complex number's modulus r and argument combined.Given as z = r cosθ + i r sinθ = r (cosθ + i sinθ). the polar form of the complex number z = x + iy with coordinates (x, y) is given.Polar coordinates of real and imaginary numbers in the ...Which shows the correct substitution of the values a, b, and c from the equation 0 = - 3x2 - 2x + 6 into the quadratic formula? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFractionWhich values represent solutions to cosine (startfraction pi over 4 endfraction minus x) = startfraction startroot 2 endroot over 2 endfraction sine x, where x is an element of [0, 2pi)? star 5 /5For some, your kitchen is just that hateful room where you have to cook. But if you've gotten into cooking at home, it's the room most in need of an efficiency makeover. Here are 1...Jan 5, 2024 · Given: Sine squared x = StartFraction 1 minus cosine (2 x) Over 2 EndFraction Prove:Sine (StartFraction x Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (x) Over 2 EndFraction EndRoot Complete the steps of the proof. ♦: ♣: answer: half angle, xAdd the expressions 4 minus two-thirds b + one-fourth a and One-half a + one-sixth b minus 7. What is the simplified sum? Negative one-sixth a + StartFraction 5 over 12 EndFraction b minus 3 Three-fourths a minus one-half b minus 3 Three-fourths a + StartFraction 5 over 6 EndFraction b minus 3 StartFraction 5 over 12 EndFraction a minus StartFraction 1 over 6 EndFraction b minus 3Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if the radicand is There is one real solution if the radicand is There are no real solutions if the radicand is 1. y = negative 16 x squared + 32 x minus 10. x = StartFraction negative 32 plus-or-minus StartRoot 384 EndRoot Over negative 32 EndFraction.Then you need to remember slope can be scaled. if the slope is 3/2, that's the same as saying 6/4, or anything else that simplifies to 2/3, so you can scale it so it makes a right triangle with a hypotenuse of 1. Also, it might even be simpler to remember tangent is opposite over adjacent, and opposite is y and adjacent it x. Hope this helped.Dec 11, 2019 · y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction and y = StartFraction 3 minus 6 StartRoot 2 EndRoot Over 4 EndFraction. Step-by-step explanation: The given quadratic equation is (4y - 3)² = 72 We have to solve this equation for y. Now, 4y - 3 = ± 6√2 ⇒ 4y = 3 ± 6√2 ⇒ andJan 18, 2022 · You can simplify the given expression by taking out those factors who are perfect squares.. The simplified form of the given expression will be . How to simplify values which are under the root? If possible, try to defactor what is inside the root.. For example, if 8 is under square root, then you can defactor 8 as made up of 2 times 2 times 2.The formula s = StartRoot StartFraction S A Over 6 gives the length of the side, s, of a cube with a surface area, SA. ... Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot. D or the 5 with the squareroot of 180 and yada yada ... (StartRoot 6 EndRoot minus StartRoot 10 EndRoot) A or 6squareroot2 ...Which are the solutions of x2 = -7x - 8? StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction StartFraction negative 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction negative 7 Over 2 EndFraction .... Which expression is equivalent to Tangent (StartFraction 3 pi Over 44 days ago · Conjugate of a Binomial. On th Math. Calculus. Calculus questions and answers. x =StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction.RootIndex 16 StartRoot 4 Superscript 5 Baseline EndRoot StartRoot 2 Superscript 5 EndRoot 2 4. loading. See answers ... The expression to simplify is: When same base is multiplied, we ADD exponents and when same base is divided, we SUBTRACT exponents, so we can write the expression inside the parenthesis as: ... 2 EndRoot) Superscript x f (x ... Algebra. Simplify Calculator. Step 1: Enter the expre Jan 23, 2020 · Which expression is equivalent to rootindex 4 startroot startfraction 16 x superscript 11 baseline y superscript 8 baseline over 81 x superscript 7 baseline y superscript 6 baseline endfraction endroot? assume x greater-than 0 and y not-equals 0.The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals StartFraction 29 Over 12 EndFraction = - = -2 lines of math labeled Negative Direction. Calculus questions and answers. Rationalize the denomi...
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