Match the justification to each step of the algebraic proof to solve the equation: 7 - (3x + 1) = 2x – 4 7 – (3x + 1) = 2x – 4 - (3x + 1) = 2x – 11 -3x – 1 = 2x – 11 -5x – 1 = -11 -5x = -10 I = 2 :: Given Equation :: Addition/Subtraction Property of Equality :: Distributive Property :: Multiplication/Division Property of Equality : Square Root Property :: Transitive Property of Equality ::

Q: 4) xy'+ by = 0

A:

Q: coshz=cosh4 has two sets of solutions: 4+2nπi and a+2nπi where n is an integer. What is the value of…

A:

Q: Use the proof by cases to prove that there are no solutions in integers x and y to the equation 4x?…

A: Here we use the fact that x2≥0 and y2≥0 and will be square of some integers. So possible values of…

Q: For which values of xo and yo are we guaranteed one and only one solution?

A: Given: y'=-y-4+1x-8 Note that if y=y0=4 then y-4=0. For all other values of y0 given in the options,…

Q: What are the solutions to the equation on [0, 27)? 2/3 csc (3x) 3 Drag all solutions to the box to…

A: We have to find solutions

Q: Each step in a procedure to solve this equation is shown.   Equation:   5x − 7 = 3(x+1)5x - 7 =…

A: Given query is to find the step where error was for the first time.

Q: Solve but not necessarily to mixed numbers. -5/2x +3/7x   7 4/5 + -3/14 - 3 6/7

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Q: Solve for q: 1 = r

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Q: f 2 is one root of the equation 4x3 + kx – 24 = 0, then the value of k is       8   –1…

A: The standard form of a cubic equation is given by ax3+bx2+cx+d=0, where a≠0. If a=0, the cubic…

Q: a) For what value of k does the equation e2x = ksqrt(x) have exactly one solution?

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: Kiran is solving = for x, and he uses these steps: (z-1)() z(z-1)() %3D 2x-3 2 %3D 2x 2.5 He checks…

A: Here we will find the error and correct solution,

Q: For the equation 3tan2x-5tanx+k=0, state the value of k for which there are three solutions in the…

A:

Q: In vector graph

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Q: Solve this q3 as soon as possible and not use p. Take (p=6) and solve this plz with p=6

A: Follow the procedure given below.

Q: 1. 1 Solve 1 - for x. y +

A: 1x+1y=1z Now solve for x  1x+1y=1z1x =1z-1y1x =yyz-zyz1x =y-zyz Now flip upside down and solve for x…

Q: x" 1omua

A: As per the instruction, we will be solving only the first-mentioned question. For (5), Here,…

Q: How do I solve 3cos(2t) = 3sin2(t) + 2 for all solutions 0 ≤ t < 2π t = ???

A: The equation is 3cos(2t) = 3sin2(t) + 2 Subtract 3sin2(t) + 2 from both sides 3cos(2t) - 3sin2(t) -…

Q: 7. 2x-42 = 20 -3x + y- 42 = 20 -4x + 2y + 32 = -15

A: We will solve the following. As per the guidelines we can solve 1 problem only

Q: A piggy bank contains only nickels, dimes, and quarters. There is a to- tal of 105 coins and the…

A: General solution of equations

Q: a. How many positive integer solutions are there to the equation x1+x2+x3+x4=9?

A:

Q: 19. Find the exact solutions and simplify as much as possible: 2x2 + 9 = 12x. Show work.

A: Given equation:

Q: 2 Solve for "x", In(x – 2) = -1 = -1

A: Take both side as the exponential

Q: The sequence (xn) of positive real numbers satisfies the relationship xn−1xnxn+1 = 1 for all n > 2.…

A:

Q: (x – 1)(x² – 2x) y =

A: Product rule of differentiation: ddx[f(x)g(x)]=f(x)ddxg(x)+g(x)ddxf(x) Quotient rule of…

Q: 12. If p || q, solve for x. (7x 27) (11-5)

A:

Q: Solve the following absolute value equation. |2v+5|=|2v-1| If someone could add each and every…

A: Given,

Q: Given 0 ≤ 0 < 2π, solve 2tan0 - 6 = 0

A: Given query is to find the value of the theta.

Q: For the following equations, solve for (a.) all degree solutions and (b.) θ if 0∘≤θ<360∘. Do not use…

A: Part 12cos θ = 1cos θ = 12General solution for cos θ = 12θ = π3 + 2πk, θ = 5π3 + 2πka θ = 60° + 360°…

Q: The lesser of the two solutions to x(x+ 4) = 21is: x=-4 X--7 X-3 X-7

A:

Q: Solve for p. р — 12 3D 8 —5(р -2) || | - 3 В -13 p= 3 D 1/2 A,

A: Given P - 12 = 8 - 5 (P - 2)Here we solve for P

Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

A:

Q: Suppose Ax b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the…

A: To show:   The statement Ax=0 has only the trivial solution.

Q: Solve for x, where x is a real number. 8x+25 - /2x+4 =3 (If there is more than one solution,…

A:

Q: (iv) y = (x³ + 4.x² – x*/3)(x7 + x³ – p³ + 2x – 9). - -

A:

Q: The sum of a certain number of consecutive non-negative integers is 2500. Can you find an example of…

A: Let a be the first integer. If there is one integer then sum is a Since, number is consecutive, then…

Q: What values of the variable cannot be possible for this given soulution, without solving 8 over…

A:

Q: what would be the best way to solve the formula to get x by itself.  ex. y=7x-2kx. Im stuck with…

A: To solve for any variable which occurs in more than one spot is to apply basic mathematical…

Q: What are the solutions of the following equation? 0--x² +2 1x – 98 O Ax= -14 andx=7 O B.x- - 49 and…

A: The general form of a quadratic equation is ax2+bx+c=0, where a, b, c are constants. The quadratic…

Q: Solve for x, where x is a real number. 7x+39 x+30 =3 - (If there is more than one solution, separate…

A: Given equation7x+39-x+30=3We have to solve for x , where x is real number .

Q: Your friend makes an effort to solve the equation 3 + 2√x = x as follows: (3 + 2 √x )2 = x29 + 12 √x…

A: Given, 3+2x=x on squaring both sides, 3+2x2=x29+12x+4x=x2   Further, it is simplified as follows:…

Q: 2) Find all the solutions in the interval [0, 27T) for the equation 6cos(3t) + 8 = 5

A:

Q: How many solutions are there to ax + b = 0 with a 0?

A: Given  ax+b=0   ;  a≠0

Q: Let Z -[₁ 2i -2+i -3i 3-2-1-i] 2+1] and -2 1-4 and W-1+34 2-3. Then, solve fo

A:

Q: V1-? (c) J, 2-지 de

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

Q: David tried to solve the equation 7x – 2 = 2x + 33.  Read through his work and determine where he…

A: Determining the value of x

Q: 3. Solve for x and please show work x5/3 = 3125

A:

Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: Solve for x and y, using GEOMETRIC conjectures, etc. (Someone answered this with what looked like…

A:

Q: -4] and solve for X. 6. For Exercise, use A = and B = 3X + A = B

A:

Q: Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a…

A: Introduction :--

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.