Solve for x: 3x+1 = 2²x-3 Leave your answer in exact form ✓

Q: evaluate each algebraic expression for the given values of the variables. 3/(x - 2) - 5/(x + 3) for…

A: Given: 3x-2-5x+3

Q: Solve the logarithmic equation. 20) log2 (x + 4) = 1 A) (-2) B) (-3) C) (6) D) (5)

A: INTRODUCTION Exponentiation's inverse function is the logarithm. That is, the exponent to which b…

Q: Write an inequality to represent the statement below: Fourteen less than the quotient of a number…

A: We have given a statement  Let, a number = x quotient of a number and 2 =x2 Fourteen less than…

Q: Solve for x in the equation log(4) = -2. 2 8 16 64

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Q: What is the equation of the parabola that has a vertex at (1, 2) and a directrix at y = -2? O x² =…

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Q: The graph of the derivative of a function f is given. According to the graph, f has a local minimum…

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Q: 2. Let A = [1,3], B = {5}, and C = [4,6]. Write the inequalities (or equalities) that specify each…

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Q: Problem 1: Find the inverses (directly or from the 2 by 2 formula) of A and B: 03 4-[28] and B-[34]…

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

Q: Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas sells for $3 and…

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Q: g(x) = (-3)* 10. Consider the function .g(x) = Sketch g(x) and g(x) on the same axes. State for both…

A: we need to sketch g(x) and its inverse and need to write down the domain, range and x and y…

Q: Under optimal conditions, the growth of a certain strain of E. Coli is modeled by the Law of…

A: To determine the law of growth of bacteria

Q: Which equation defines the line that has an x-intercept value of 2 and y-intercept value of 5? OO y…

A: Given query is to find equation of the line.

Q: 14. a. Show that x + 6 is a factor of p(x) = x² + 6x² - 16x-96. Then write p(x) as the product of x…

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Q: Given f(x) = 6√√x and g(x) = 6x, find the following expressions. (a) (fog)(4) (b) (gof)(2) (c)…

A: To find the composition of given function

Q: Question 7. How many bit strings of length 7 start with 10 and end with 01? nswer:

A: We are authorized to answer one question at a time, so we are answering the first one.

Q: Which shape is defined by the equation y = 2x² 3? O Circle O Ellipse O Parabola O Hyperbola None of…

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Q: Volume 5000 4000- 3000 2000- 1000 -5 V(x) = -x3+56x²-1008x+5760 5 10 15 20 25 Change in each…

A: The given function is  V(x)=-x3+56x2-1008x+5760

Q: Solve for the first column (x, y) of A-¹: X 8][6]-[6] = 10 20 20 50

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Q: If the graph of the linear equation y = 4x-1 was shifted 8 units down, what would be the equation of…

A: given  y=4x-1 for right and left shift in the graph , change in the value of x for up and down shift…

Q: simplify each of the complex fractions. ((2/x)- 3) / (3/y) + 4)

A: Given: 2x-33y+4

Q: a) Use the equation A(t) = Aoekt to express the amount of Carbon-14 left from an initial N…

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Q: Point A has coordinates (-3 , 7), and point B has coordinates (1 , 15). What is the slope of a line…

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Q: Aaron went to an amusement park last weekend. He took a great picture of his friends upside-down on…

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Q: Look at the graph of the parabola shown below. Press the hotspot that states a possible focus and…

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Q: Valerie wants to go fishing with her friends. Mo's fishing boat tours has an initial fee of $30 to…

A: Solve the problem

Q: vertex: (0, 0) directrix: y = 4 vertex: (0, 0) focus: (0, -1) vertex: (0, 0) directrix: y = 2

A: The equation of a parabola with vertex (0,0) and directrix y= a is x2 = -4ay .The focus of the…

Q: What is the resultant of vectors a and b? ( ) A C b B

A: Here given that two vector a and b on the same direction. And we find that what is the resultant…

Q: S Y 4 - (0 (2.4) -4 25 O 3 (-4,1) (4,-1) X what is it called t

A: Given query is to find the point which lies in the solution region.

Q: Parallel lines j and k are cut by transveral t. Which angles are alternate interior angles? k→ 1/2…

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Q: What is the focus (are the foci) of the shape defined by the equation + 3 = 1? 25 9 (0, 2) and (0,…

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Q: 2.3 Consider the set G of 3 × 3 matrices defined as follows: 1 {[ 0 G = x 1 Y 0 0 1 R} € R³×³ x, y,…

A: Please see the below pictures for detailed solution.

Q: The function f is one-to-one. Find its inverse. 5) f(x)=x³+1 3 A) F¹(x)=√√x+1 3 B) f-1(x) = √√√x+ +1…

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Q: solve each of the systems. 2x - 7y = -8 4x + 5y = 3

A: Given: 2x-7y=-8    ...(i)4x+5y=3        ...(ii)

Q: Find the x- and y- intercepts of the line 15x - 10y =30   Graph the line 15x - 10y= 30

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Q: Problem 5 Mr. Adam is planning to his retirement after 18 years so he will save $x dollars now in an…

A: calculation of above requirement are as follows

Q: 12. directrix: x = - 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the following system. +z = 0 - 3y - 6z = 0 6y + 12z = 0 18z = 0 X +y -9y Select the correct…

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Q: Complete the steps for writing and solving a linear equation to model a real-world situation. Kayla…

A: Given query is to find the number of each type of bracelet sold.

Q: The equation of the straight line in the graph below is ...

A: Find the equation of straight line in the graph.

Q: A plane flies 700 miles from Atlanta to Philadelphia with a bearing of 55 degrees. Then it flies 340…

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Q: factor each of the algebraic expressions completely. 16x3 + 54

A: We have to find the factors of given algebraic expression.

Q: What is the vertex of the parabola represented by the following equation? y=2(x-4)² + 1 A (-4,1) B C…

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Q: Find the exact value of each of the following under the given conditions below. Зл << -₁ tan ß=…

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Q: John owns a small Internet company and offers his clients three different formats for the name part…

A: Given that , Format for Name part of email address = 3 Format for Domain part of email address = 7…

Q: Aaron went to an amusement park last weekend. He took a great picture of his friends upside-down on…

A: Given query is to find indicated scale.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude |v||-10 va…

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Q: What is the distance from A to B? 1 .07.2 09.5 O 10.7 0114 1 2004 20 7 1 21 1 4 7 M M M A # = 2 E ✔…

A: To find the distance from A to B.

Q: Linear Algebra Determine the area of the parallelogram formed by the points (-3,1), (1,2), (2,-1),…

A: Let's find area of parallelogram.

Q: Which of the following sets forms a basis for R². Select one: $={H.3} S S = = {Q. HA} S= {[]}]} O…

A: We need to check which of the following sets forms a basis for R2.

Q: Given v = 1 -6 5 1 find the closest point to in the subspace W spanned by -2 -2 - ar

A: Closest point to v→ in the subspace W spanned by v1, v2 where v1, v2 orthogonal set is…