2.) A certain number is tripled, then decreased by 1. The result is twice as much as 5 more than the number. Write an equation representing this situation, then find the number.

Q: use an algebraic approach to solve each problem. One-half of a number plus three-fourths of the…

A: Given:one half of a number + three fourths of the number =2 + 43 of the number

Q: 6. In an ice cream shop, each ice cream cone (c) costs $3 and each bowl of ice cream (b) costs $5.…

A: According to the question,  In an ice cream shop, each ice cream cone (c) costs $3 and each bowl of…

Q: What is the solution set of the equation (x – 2)(x – a) = 0? 1) -2 and a 2) -2 and -a 3) 2 and a 4)…

A: Finding solution set of given equation

Q: a. 2x-1-x=-8 X3=

A: Given: 2x-1-x=-8

Q: 2. A summer movie club charges a $30 membership fe and then $5 per movie. Which equation can be used…

A:

Q: An equation that can be written in the form ax + b = 0, where a and b are real numbers and a ≠ 0, is…

A:

Q: set up an equation and solve each problem. Two cars leave an intersection at the same time, one…

A: Consider the given: Let the distance covered by the Car travelling in north be “x”. So, the distance…

Q: Ahmed and Mona are competing on a quiz app. Ahmed has 40 points already and is wining 20 points per…

A: Suppose that time taken for Mona to overtake Ahmed is denoted by m.

Q: solve each equation. 4(2a + 3) - 3(4a - 2) = 5(4a - 7)

A: Consider the given equation, 42a+3-34a-2=54a-7 first, expand the brackets on both sides of the…

Q: 1.) Solve each equation. а.) 2(х — 3) + 5(1 — х) — 2 6-5х b.) 4х+3 -2

A:

Q: 24 Set up an equation and solve for x. 18

A: Use the relation between chord and tangent of a circle.

Q: If twice a number is less than the number , the number must be A) Negative B) Even C) .5 D) a square

A: Let the number be x As twice a number is less than a number, therefore 2x<x…

Q: 1.) The flag football team is taking 6 cars of players to the match tomorrow. If each car carries…

A:

Q: The power principle of equality states that if both sides of an equation are raised to the same…

A:

Q: How many solutions does the equation a + b + c + d + e + f = 30 have if each variable must be a non-…

A: Image is attached with detailed solution.

Q: If x = 3, y = 2, and z = -3, does the ordered triple (x, y, z) satisfy the equation 2x - y + 4z =…

A: if x=3, y=2 and z=-3  then we have to determine does the ordered triple (x,y,z) satisfy the equation…

Q: 15 is always equal to the product of a number and 5” translates to a mathematical equation. true or…

A: 3×5=15

Q: 4. Give an example of an equation that has NO SOLUTION with y = 5x - 2. Explain.

A:

Q: Solve the lineal equation if possible 2 20 3x- 34 1-32 =

A: From the given problem:   x-y+z=03x-3y+0z=02x-2y-3z=0   In the matrix form, it can be written as,…

Q: Are the following equations Linear, Quadratic, or Exponential?

A: Given the equation

Q: The solution set of the equation | x | = 5 is { ________ }.

A: To find the solution

Q: How much corn seed is required to plant a field limited by the equations x ^ 2 + y ^ 2 = 9; y = x; y…

A: Here we will find out the required amount of corn seed.

Q: The sum of the reciprocals of two consecutive even integers is 40 equation shown. 9 + =- I z+2 40…

A: Solving for x

Q: A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: Solution:-  Given that a flower‐bed is in the triangle shape.   The shortest side is x   one…

Q: 3. Write the following situation in the form of equations: Raju's father's age is 5 years more than…

A: Raju age is 13 years.

Q: Two cyclists, 144 miles apart, start riding toward each other at the same time. One cycles 3 times…

A:

Q: What is the solution set for x in this equation: x² + x -12 = 0? A O {3, -4}

A: The given equation is:x2+x-12=0 To solve for x

Q: Two cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as…

A:

Q: Which equation has the same solutions as 2x +x- 3= 0? (3) (2x– 3)(x+1) = 0 (4) (2x+3)(x-1) = 0 (1)…

A: Given :             2x2 + x - 3 = 0

Q: Which equation has the same solution as x2 + 8x + 19 = 1? O (x – 4)² = –34 %3D (x – 4)² = -2 O (x +…

A: x² + 8x + 19 = 1 So, (x² + 2•x•4 + 4²) + 3 = 1 So, (x + 4)² = - 2

Q: Does the following equation have one solution, infinite solutions or no solution? 3(2x-5) = 4X+11

A: We have to solve the equation: 32x-5=4x+11 Solving equation, 32x-5=4x+113×2x-3×5=4x+116x-15=4x+11

Q: #34 Solve the equation and check graphically. |2x - 5| = 3

A:

Q: set up an algebraic equation and solve each problem. A 20-foot board is to be cut into two pieces…

A: Given- A 20-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3. To…

Q: Which equation has the same solutions as 2x +x-3=0? (1) (2x-1)(x+3) = 0 (3) (2x-3)(x+1) = 0 (4)…

A:

Q: 5. A plumber charges $25 for a service call, plus $50 per hour of service. Which equation below…

A:

Q: The product of two consecutive numbers is 132. Which of the following equations would be used to…

A: Let the first consecutive number be x andNow the second consecutive number will be (x+1)Ex: If the…

Q: Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing 14% with…

A: Given:- Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing…

Q: The solution set of the equation x2 -x - 6 - 0 is A) {6,-1} B) {2,-3}. C) (3,-2} D) (-6,1}

A:

Q: If an equation is true for all values of its variable, it is called a(n):

A: If an equation is true for all values of its variable, it is called a(n):

Q: Discuss the solution set of the equation. 4 4,

A:

Q: Solve the following equations: x4-x³-3x2-3x -18=0

A: To solvex4-x3-3x2-3x-18=0

Q: Ace Taxi Company charges riders $5.50 up front and $0.85 per mile for trips. Which explicit equation…

A:

Q: Solve, by graphing, for x when: |x-91=x +3 X- {3, 2} B x = {-3, 2} C x = {-2, 3} x = {-3, -2}

A:

Q: solve each problem by setting up and solving an appropriate equation or inequality. How many cups of…

A: How many cups of grapefruit juice must be added to 30 cups of a punch that is 8% grapefruit juice to…

Q: Two cyclists, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A:

Q: Solve: 2ープザー3メッパ+をメー-0 3-9=xp+6p?, 4-4PX-2y=Py?.

A:

Q: Solve for the intersection point of the following equations: 2x+y+3z=-2, x-y-z=-3, and 3x-2y+3z=-12

A: An equation is a statement in which two algebraic expressions are equal. If the equation is of the…

Q: 2. Ann has 3 less than twice the amount of DVD's that Bob has. Write an equation that determines how…

A: The equation and the solution of given problem is given as follows :

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.