If 4x + i(3x – y) = 3 + i (– 6), where x and y are real numbers, then findthe values of x and y.

Q: Find all the values of x so that x4 = - 8 (i - √3)

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Q: Choose non-zero values for a and b (a > 1, b > 1) that satisfy 12 · x = 12.

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Q: Find the values of x for which 15- 3x| < |x+ 1|.

A: Given : | 5 - 3x | ≤ | x +1 |

Q: 1 3 x' X 12 1 %3D

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Q: Express the product of and 216 in simplest form. r+5 2+5x+6

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Q: (2x + 43)° (2x-3) °

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: -3x2-4x+175=0  find value of x

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Q: Let  ƒ(x) = 6x2 − 2 and g(x) = x2 − 2x + 5 to find the value. ƒ(2 - r)

A: To find: The value of f2-r. Given: The function is fx=6x2-2. Formula used: a-b2=a2+b2-2ab…

Q: Find the value of x of  x^3-3x^2+3x-1

A: We have to find the value of x  of  x3 - 3x2 + 3x - 1  Put x = 1 1 - 3 + 3 - 1 = 0  So ,  x = 1 is a…

Q: Find the constant k so that : -x2 - (k + 7)x - 8 = -(x - 2)(x - 4)

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Q: : Find the value of x' +7x -x+16, when x = 1 +2i.

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Q: Evaluate: +x2-r+4 where x = -2

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Q: Find the value of x  2x+1=31-x

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Q: x(x-6)-(x-1)(x+5) b) (1–2x) a2+ah 4g2 -9h?

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Q: Why can't "a-b" equal "b-a"? assuming a and b are nonzero real numbers

A: We have to show that (a-b) ≠b-a  by using a &amp; bare non zero real number

Q: (x+11) (x² - 11x

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Q: Evaluate x2 - 2x + 2 for x = 1 + i.

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Q: If h(6 – 2æ) = h(4)? = Vx2 + 5x +3 for all real numbers x, what is the value of

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question.…

Q: for 2x" + 4x' + 5x = 10e¹ is -t

A: Given as, 2x''+4x'+5x=10e-t   As per guidelines, allowed to answer first question and post the…

Q: Solve the equation for x. let X = 2x or X = 3x.  22x+2 - 17 . 2x + 4 = 0

A: Consider the provided equation, 22x+2-17.2x+4=0 Solve the equation for x. Let X=2x. Put the value of…

Q: If 3+2(x+1)=6x what is x?

A: Given : 3+2(x+1)=6x

Q: Find the value of x3+7x2-x+16,when x=1+2i

A: Use (a+b)3 = a3+b3+3ab(a+b)      (a+b)2=a2+2ab+b2        i2 = -1       i3 = -i

Q: What happens to ƒ(x) = x2 when x is a number very close to (but not equal to) 2?

A: Given function is  fx=x2 Consider x≠2,  but very very close to 2 and x&lt;2 x 1.9 1.99 1.999…

Q: Find the value of x. x= 34° -(x + 6)° )(3x – 2)° W

A: In a circle,  the measure of exterior angle is equal to half of the difference of the measure of…

Q: If 2x + 5y = -1 and 3x 2y 27, then what is the value of x?

A: Solution:

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

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Q: Find the constant of the term containing x2   (2x + 3)4

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Q: Find the difference quotient of f1x2 = - 2x2 + x + 1; that is, find f1x + h2 - f1x2h , h ≠ 0.

A: A function is a relation which maps each element in its domain to exactly one value in its range. A…

Q: 81x^2 = 100 then x is

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Q: If z – 2 = , then what is the value of z – 4x + 4?

A: This trivial way of solving this problem is to find the value of x from the given equation and then…

Q: Solve for real x: x (x2-1)(x+2)+1=0

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Q: 13) If x = 5a*, and a = 2b3, express x in terms of b.

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Q: a) Find the sum of x+2x-5 x2+12x+35 and a+7* b) State the domain.

A: We have to find the sum and domain

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: Find the value of x'+7x-x+16, when x 1 + 2i.

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Q: If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)?

A: Given fx= 2x2+3We find fx+1

Q: Given: y=16x^2-8x Find all real values of x for which y=-1

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Q: メ-5x1-36 ×-3x744Xー12 4 show that -24

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Q: X-5=V-4x+41 where is Ka real number2

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Q: a) fi(x)= /(3x² + 5x)(1 – x)², b) f2(2) —D 7sen(2л) + 3tan(x — 1)

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Q: Evaluate: x2 - 2x + 2 for x = 1 + i.

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Q: State all real-number values of x which will make this statement true:    x2 + 4 = 0

A: Given,          x2+4=0

Q: Find the value of x that will make A||B. A 2x + 5 3x-2 X = [?]

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Q: Let (x) = -7x* + 3x² a) A-x) = ? 2. b) Ax) = ? c) Which is (x) : even, odd, or neither ? Why?

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Q: IfÂf(x) = Â(10x³ + 7x2 + 1) = 60x + 14 , find an %D expression for Â.

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Q: f(x) = /2x -6 and g(x) = 2x? – 1. %3D

A: Given two function f(x) and g(x), their composite function h(x)=( f o g )(x) is given by…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.