Simplify. Assume that all variables represent positive real numbers. (a) V9x12y14 = .-. ... (b) 32x40y65 ... Write your answer using radical notation if necessary.

Q: Simplify. V75w +/27w Assume that the variable represents a positive real number.

A: 75w+27w

Q: Determine the values of A, B, and C when y + 7 = 3(x+4) is written in standard form, Ax + By = C.

A:

Q: if a=4 and b=-1 are the coordinates of two points on the real number line, find d(a,b)

A: Given:If a=4 and b=-1 are the coordinates of two points on the real number line, find d(a,b)

Q: Let p(x) = 3x+2 and h(x) = x^2 -1. Perform the indicated operations and simplify your answer.   3.…

A: 3. Given that, the functions are px=3x+2 and hx=x2-1. In order to find the value of ph4, first find…

Q: For what numbers x is 6 - x ≥ x2 ?

A: Given: 6-x≥x2

Q: Factor and simplify the expression. tan4x - sec4x

A:

Q: perform the indicated operations, and express your answers in simplest form. 6/(x2 - 9) - 9/(x2 - 6x…

A: Given: 6x2-9-9x2-6x+9

Q: . Let a, b, and c be real numbers with a >0, b <0, and c< 0. Determine the sign of each expression.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Determine the values of the variable for which the expression is defined as a real number.

A: Consider the expression, 1x2-5x-141/2. using the exponent property, an=a1/n, the given expression…

Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Given, u+v3u+v-2 simplify and rationalize term. now multiply and divide with u+v2…

Q: If x and y are real numbers, what is the simplified radical form of

A:

Q: perform the indicated operations, and express your answers in simplest form. x + 5/(x2 - 25) - x2/(x…

A:

Q: 6. x² = 36 49

A: x2=3649x=3649x=±3649

Q: Express the number in the form a/b , wherea and b are integers.

A: -24+3-1

Q: V16 – V-36 v25 +v-16

A:

Q: Find the exact value of x. 15/2 15/2

A:

Q: For what numbers x is 6 - x ≥ x2?

A:

Q: Simplify the radical. Assume that all variables represent positive real numbers. √44x^7

A: Given,            44x7

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: Perform the indicated operations on the three expressions x+6/x^2-36-x^2/x+6 Express your answer in…

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Q: Given A = where a and b are nonzero real numbers, find A-1.

A:

Q: 12. Simplify with the goal in mind to cancel the h that is in the denominator. -1 -1 2(x+h)² 2x²…

A:

Q: A positive number is written in scientific notation when it is expressed in the form a x 10", where…

A: A positive number is written in scientific notation when it is expressed in the form a×10n, where a…

Q: Simplify each expression using the products-to-powers rule: (2x)4 b. (-3y²)³ (-4x°y-1)-?. а. с.

A: Product to power rule states that, the power( exponent) outside brackets needs to be applied to all…

Q: Evaluate the radical expression, and express the result in the form a + bi.

A: We have to evaluate the radical expression: -36-2-9 We know that i=-1⇒i2=-1, where i is the…

Q: 2. For a positive real number b, the value V-b =

A: The given expression is -b

Q: Simplify the radical. Assume that all variables represent positive real numbers. V- 32x10y5

A: Given : -32x10y55

Q: Express the number in the form a/b , wherea and b are integers.

A: The given expression -234 can be expressed in the rational form ab as, -234=-14234…

Q: write the expression in radical form. x1/3y2/3

A: To express in radical form:x13y23 Solution: x13y23 On simplifying further we get:…

Q: Simplify. 27t 10 Assume that all variables represent positive real numbers.

A:

Q: A designer is creating various open-top boxes by cutting four equally-sized squares from the corners…

A: Given: A designer is creating various open-top boxes by cutting four equally-sized squares from the…

Q: perform the indicated operations and express the answers in simplified form. (x2 - x)/(x + 5) x (x2…

A: x2-xx+5×x2+5x+4x4-x2

Q: Find the exact value of x. 1 10) 16 12

A: We have to find out the value of x

Q: Solve for x. (Enter your answers as a comma-separated list.) X+2 4 4|= -1 X X = = 7

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: de and simplify. Assume th 4. 486x12y22 4) 6x4y

A:

Q: If 4D2 - 5D -6 = 0, where D is a natural number, find the value of D

A: Given the quadratic equation

Q: 3√24 x 3√12 ------------------------       3√2

A:

Q: perform the indicated operations, and express your answers in simplest form. 5/(x2 - 1) + 9/(x2 + 2x…

A:

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where…

A:

Q: Simplify. Assume that all variables represent positive real numbers. (a) V49x20 y26 7x^10y^13 .--…

A:

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

A:

Q: Express the number in the form a/b , wherea and b are integers.

A: Simplify: -324-2-4

Q: State the property of real numbers being used. (A + 1)(x + y)  =  (A + 1)x + (A + 1)y

A: The given statement is (A + 1)(x + y) = (A+1)x + (A+1)y.The property used in the above expression is…

Q: Evaluate v-4 Enter DNE if not a real number.

A: Evaluate

Q: evaluate each of the algebraic expressions for the given values of the variables. 3x2 - 2y2 for x =…

A: The given expression is 3x2-2y2

Q: For any real number a, Va³

A: Let 'a' be a real number. To find  a33

Q: Express the number in the form a/b , wherea and b are integers.

A: Given that: -33

Q: 3q – 2) + q + 6 simplifies to | q+ (Enter numbers in the blanks).

A:

Statements and Logic

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