if x<0 and y>0, determine the sign of the real number.  1 (a) xy   (b)x2y  (c) x/y +x  (d) y-x

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

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Q: Find The value of K, to Continue The function X-2 f(x)= 4-JI4+X メ+23 - %3D メ=2

A:

Q: O f(x) =-x' +3x² – 2

A: Given,         fx=-x3+3x2-2

Q: What is the end behavior for this equation? f (x) = (x+3)² + 1 O As xxx, f(x) →→→→∞, and as a →→→→∞,…

A:

Q: r(x) = 8x2 + 2x- 5 %3! (x)1 of r(x) as x -

A: Given query is to find the end behaviour finthe Graph.

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Find real values of x for which f(x) = 0. f(x) = (12 − x2)/8

A: Given: f(x)=12-x28 which f(x)=0.

Q: Find real values of x for which f(x) = 0. f(x) = x2 − 6x − 16

A: We have to find real values of x for which fx=0: fx=x2-6x-16 Applying given condition,…

Q: Find the value of the expression at x = 5. Зх — 1 X + 2

A: To compute  3x-1x+2 when x=5

Q: The variable x is any real number (xcept 0 in a denominator

A:

Q: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: Find all values of x in the interval [0,2pi) 3sec^2x-5secx=2

A: Explanation of the answer is as follows

Q: 4.) x : 12 required:a) find the value of x if y = 1/2

A: Given, x=-112y142y-y214We need to find value of x when y = 12

Q: The domain of

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Q: The equation f(x) = x³ – 9x has a root in the interval [3,5] о yes O no

A:

Q: 2 If f(x) = 3x? + 9x and g(x) = x + 3, find f • g(x) . Completely simplify the result

A: to see 2nd step

Q: Find real values of x for which f(x) = 0. f(x) = 4x + 6

A: To find the real values of x for which fx=0. Solution: Put fx=0 and solve for x.…

Q: True or False The equation x2 + 2x = (x + 1)2 - 1 is anidentity

A: Given : The statement, The equation x2 + 2x = ( x + 1)2 - 1 is an identity . The statement is true.…

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

A: see 2nd step.

Q: 18. Find the value of x. x = 9 2x

A:

Q: f''(x)=4+6x+24x2,f(0)=3,f(1)=10,find f

A:

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: An equation that is true for all real values in the domain of the variable is an ________.

A: We have to fill in the blanks: An equation that is true for all real values in the domain of the…

Q: -2 t t² + 5

A:

Q: X+1

A: Using method of Rational Function.

Q: Work out the value of x, when X, = 1-2

A:

Q: If x> 0, y>0 and x-y =2xy, find the exact value of y -

A: If x&gt;0, y&gt;0 and x2-y2=2xy, then to find the exact value of xy.

Q: Calculate the real values of x and y such that (x+y)3 is bigger than 8?

A: Given, x+y3&gt;8

Q: method of undetermined coefficient  y'''-2y'' +y' = xe^(x) = 5

A:

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: X+2 If f 5х- 6 3D2X-4, find f(1).

A: A detailed solution is given below

Q: I+ 4 Give the domain for h(x) = in interval notation. x2 6x 27

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Q: If fo=x2-2x-3 & gx)= X then find a) (fog)(x) & b) (gof)

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Q: 6x2+C,

A: answer is in next step

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

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Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: 4) Solve for x and express your results using interval notation: a) |x- 3|-26

A:

Q: f(x) = 4 – 3x and write your answer in interval notation. Domain:

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

A:

Q: Find the value of x that makes yz. ['Extra Credit: State the Theorem that supports your answer]…

A: Given: A transversal is passing through two parallel lines y and z. The objective is to find the…

Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

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

A: Given,          x2+4=0

Q: f(x) = 5 x² − 5 x, -

A:

Q: (b) Find the values of x that satisfy 0.7* ≥ 0.3.

A:

Q: Find x-value at which the algebraic expression is undefined.

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Q: * Express 2x² -x+ 6 in the form n(x-- o)?+r where p. g and r are constants to be found.

A: In this question we have to deal with the polynomial.

Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…

Q: variable

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.