Use the product rule to simplify the expression. √12x2

Q: Rewrite the expression in the form k. xn. 12√x 4x³

A: Understanding of basics of algebra is required to understand this.

Q: Use rational exponents to simplify. Assume that all variables represent nonnegative numbers. 10 b.…

A: Solution:a. x510   b. 27a153   c.x6y24Formula:xmn =xmnxm+n =xm xn

Q: ARTER MIDDLE SCHOOL EE.A.3 18. The area of Brian's rectangular garden, in square feet, can be found…

A: Substitute 3 for x and 4 for y into 6(5y-4x)2.

Q: The side length of a bamboo square table top is units. Determine an 2x-3 expression for its…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Write with cationaL exponents. Be sure to and simplify your show your work answer. 3. (Ta ab)

A:

Q: Rewrite the expression using a radical. (8y)^1/3

A:

Q: What is the quotient in simplest form? State any restrictions on the variable. z+2 10

A:

Q: What is the area of the rectangle? Write your answer as an expression in terms of x. x² +x 2x A

A: Given sides of rectangle are length(l)=x2+x and  breadth(b)=2x2 find the area of rectangle

Q: Perform the operation and simplify

A: The operations and simplifications are shown on board

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

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Q: 43. V-27x3

A:

Q: Use DABCD to find mAFB. Зу - 8 B. 20 13 59° 49° 2x+7 D. 10 MLAFB =

A: Given the parallelogram ABCD, we have to find m∠AFB

Q: Simplify the expression. Assume that all variables are positive when they appear. 4√48x5

A: 4√48x5

Q: What is 3.2 x 10 in standard form? A) 0.032 B) 320 3,200 D) 3,222

A: To find standard form of 3.2×103

Q: perform the indicated operation. Simplify the result  3p/ p2-3pq-40q2  -  2q/ p2-4pq-32p2

A: Given, 3pp2-3pq-40q2-2qp2-4pq-32q2

Q: The cost, in dollars, for producing x bowling balls is: C(x) = 5x + 19x + 700 Find the AVERAGE cost…

A: Please see the below picture for detailed solution.

Q: How do you write the quotient in the simplest form? 3x 6x2 2x-4 x-2 3x

A: We have to find the answer in simplest form .

Q: TI ne area of a rectangular garden is x² – 13x +36. If the length of the garden is x - 9 find the…

A:

Q: Rewrite the expression using a radical. (4x)^3/2

A: Consider the expression: 4x32……1

Q: The side length of a bamboo square table top is , units. Determine an 2x-3 expression for its…

A: We are solving the first question and for the remaining question post the question again, and also…

Q: Use radical notation to write the expression. Simplify if possible. 8x1/4

A: Use radical notation to write the expression. Simplify if possible.      8x1/4

Q: What is the quotient in simplified form? State any restrictions on the variable. x - 16 x+5x + 4 x*…

A:

Q: Simplify the expression. Assume that all variables are positive when they appear. 3√192x5

A: Given expression:                             3192 x5

Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √72x3/√8x

A: The given expression is 72x38x. Simplify as follows.

Q: 4. Perform the indicated operations. Then simplify: x2 – 3x – 28 56 - 8x ot gwen f

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Q: Rationalize the denominator and simplify the expression -9/(x-3sqrt(5))

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Q: (x+8)(x+5) use the distributive property to remove the parenthesis

A: Consider the given expression (x+8)(x+5)

Q: 2. Find the value of x. 2x + 1 71°

A: We are given the following figure. We need to find the value of x.

Q: simplify the monomials below. Final answer should contain positive exponents only.  (-4a3b2)2 x…

A: The given expression is  (-4a3b2)2 x (3a2b)

Q: 47. Find the value of x. 2x 1 4

A: Known fact:

Q: Given the expressions 36yz'(-2x + 7y)' and 15z°(-2x +7y), find the GCF.

A: Please refer the attached image for complete solution.

Q: Use the quotient rule and simplify. 3 5x2 a) V 64 V12x11 b) V3x

A: (a) 5x2643 Simplify the given expression using the quotient rule.…

Q: Simplify the monomial below. Final answers should contain positive exponents only. 5c-7d2 x (-cd2)4

A:

Q: he expression. Make sure to show 3/45x5y7 + 245x5y7

A:

Q: erform the indicated operation and simplify. 3(x3 + 5)(3x3 - 2)

A:

Q: Find the value of the varlable. If necessary, enter your answer in simplified radical form. 6. 17 H.…

A:

Q: Write an expression of the form _____ ( _______ + ______ ) whose product is 6x + 24.

A: The objective of the problem is to write the product 6x+24 in the form of ________(______+_______).

Q: 1. Simplify the expression 4x2 Show your work. V 3y

A: Solving above problem.

Q: 8. If ADGH ~ ADEF, find the value of x. 91 52 2x - 1 x+3 D.

A:

Q: 5 One restaurant uses 5 quarts of soup to make 20 equal servings. Another restaurant uses 7 quarts…

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Q: Evaluate av2 Sove (23 – 2) (2a² – x²) d

A: Walli's formula  ∫0π2sinnxdx=∫0π2cosnxdx=1×3×5×.....(n-1)2×4×6.....×n×π2    when n is even and…

Q: Multiply and simplify as much as possible. (5x + 13) (x - 5). Give your answer using the form Ax2 +…

A: First multiply and simplify then compare with given form,

Q: 12x5y² 9. Simplify, stating your answer using positive exponents: -3x³y

A: The expression is given by 12x5y2-3x3y To determine: The simplified expression of the given…

Q: Simplify the radical expression  -^7sqrt(256t^6

A: Given expression (7√(256t6)We know Square root can be written as 1/2 in the exponent and using (xa)b…

Q: Simplify the expression and express the answer using rational exponents. Assume that all letters…

A: The given expression is, 54x2y42x5y3 Using the exponential rule,  abac=ab-c And, ab·ac=ab+c

Q: Rewrite the expression using a radical. 4 * x^3/2

A: The given expression is 4x32

Q: perform the indicted operation simplifly the result  4x-24/ x+1  x  4+4x/18-3x

A:

Q: Use the product rule to simplify the expression √r3 .Assume that variables represent nonnegative…

A:

Q: Evaluate the difference quotient and simplify the result.

A: Consider the function f(x) = 1/√x .Evaluate the difference quotient as follows.

Q: Determine the values of x for which 2x + 5 18

A: Q

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.