7. If the distance traveled is (3x-2x2 + 3x +8) kilometers and the speed is (x+ 1) km/h, what is the time traveled in hours?

Q: (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. A manufacturing firm sells the commodities it produced at 200 pesos per unit. If the total cost…

A: Given, Selling price of one unit of commodities = 200 Pesos commodities produced each day = x units…

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $45 thousand…

A:

Q: 5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let's find two numbers & smallest possible value of sum of their squares.

Q: Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A: Let the speed of the farrer cyclist be u mile/h.In the other cyclict's speed in u3 mi/h. Now in 3…

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: artist is designing a rectangular stained glass window in such a way that the length of the window…

A: Use formula of rectangle to solve this

Q: 7. If the distance traveled is (3x – 2x- + 3x + 8) kilometers and the speed is (x + 1) km/h, what is…

A: Time = distance/ speed

Q: Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's…

A:

Q: A man wants to cut three lengths from a single piece of board of length 91cm.The second length is to…

A: Let the length of the shortest piece be x cm. Then length of second piece and third piece are (x+3)…

Q: A jumbo chocolate bar with a rectangular shape measures 15 centimeters in​ length, 8 centimeters in​…

A: Given that the dimension of chocolate is  length = 15cm breadth = 8cm height = 3cm Volume of…

Q: A number of two digits exceeds twice the sum of its digits by 26. If the digits are interchanged,…

A: Given,         A number of two digits exceeds twice the sum of its digits by 26. If the digits are…

Q: The tens digit of a certain two digit number exceeds the units digit by four and is 1 less than…

A: Let the two digit number be xy. Here x is ten's digit and y is unit's digit of the number.

Q: (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then…

A: Given that  The price of a dress is reduced by 20 percent  Again reduced by 10%  After reduction…

Q: The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$50…

A: Let the average salary of an individual whose final degree is master's be x and let the average…

Q: 2. The sum of two positive numbers is 16. What is smallest possible value of the sum of their…

A:

Q: How can I write an equation in standard form using only x=4 and (7,6)?

A: The standard equation of line is given by:

Q: What are the dimensions of a rectangle whose length is 4 more than twice the width and whose…

A: Given the data:

Q: What is the time needed to travel a distance of 6x^2 - 17x + 12 miles if the rate is 3x - 4?

A:

Q: Show that the equation x" = 10 has at least one solution on the interval [1, 5

A: Find your answer below

Q: What is the number whose square diminishes from three times its 2 times

A:

Q: Suppose the average yearly salary of an individual whose final degree is a master's is $56 thousand…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A rectangle's length , x, is 2 meters greater than its width.  If the perimeter of the rectangle is…

A: Let the legth of the rectangle is x  And widht is y then according to the question x=2+y Or y=x-2

Q: A company is to distribute $46,000 in bonuses to its top ten salespeople. The tenth salesperson on…

A:

Q: 4. The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A:

Q: 4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the…

A: Given- Distance travelled by a car=2x3-x2-4x+3Time taken=(x-1)2 We have to find the rate of the car…

Q: Suppose a person with a row boat is crossing a river 3000 feet wide and is trying to reach a…

A: Let P be the point on the opposite bank, the person plan to row and x be the distance between P and…

Q: 2) Suppose you have 2 pieces of ice with the same volume but in different shapes. If one of the…

A: To find two shapes with different surface areas but the same volume.

Q: Car A and car B are traveling at different speeds. Car A can travel 105 miles in the same time it…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a master's is $34 thousand…

A: We have to make linear equations to solve the problem

Q: 13. What is the distance travelled by a passenger plane in (12x + 9) hours whose speed is (12x –…

A:

Q: 4. Show that it has a real value!

A:

Q: Suppose your car averages 38 miles per gallon on the highway if your average speed is 55 miles per…

A:

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

A: Given: Total cost of producing x calculators per day is given by equation, C(x)=6+2x+32

Q: Solve ry + 4y = x° – x. -

A:

Q: What is the time needed to travel a distance of  12x2 + 17x − 5 miles if the rate is 3x + 5 mph?

A: Here I am attaching image so that you understand each and every step.

Q: Suppose that customers will buy q units of a product when the price is (40−q)/5 dollars each. 1.…

A: For any sale of items, net revenue is the total amount generated after selling the product. It is…

Q: What is the difference between the maximum and minimum of the quantity x2y2/87, where x and y are…

A:

Q: Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per…

A: Given Data The average speed of the car for mileage m=32 miles per gallon is s1=60 miles per hour.…

Q: 7. If the distance traveled is (3x° – 2x2 + 3x + 8) kilometers and the speed is (x +1) km/h, what is…

A:

Q: If a student has an average exam score between 70 and​ 79, he will earn a grade of C in his algebra…

A: Given, If a student has an average exam score between 70 and​ 79, he will earn a grade of C in his…

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $55 thousand…

A: This question can be solved using the concept of linear equation in two variables.

Q: Suppose two trains leave Edmonton, Canada, at the same time, traveling in opposite directions. One…

A:

Q: 2. Solve hip 1 -3 y-2 = 1+ In r. dr

A: Given differential equation

Q: The price of a dress is reduced by 20% when the dress still does not sell ,price was then reduced By…

A: Step 1: Let x be the original price of the dress. Step 2: There are no other unknown quantities.…

Q: If a student achieves an average exam score between 70 and​ 79, he will earn a grade of C in his…

A: It is given that, the student has three exam scores of 77, 61, and 85 and the final exam score has…

Q: A takes 6 days less than the time taken by B to finish a piece of work . If both A and B together…

A:

Q: Max. Z=10 X, +15X2 S.T 6x1+4x2 <30000 2x1+4x2 2 20000

A:

Q: D gla)= Za+22 az-8) 2) hex)= 10 x2-7x-8

A:

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.