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

Q: A bacteria culture initially contains 1200 organisms and doubles in size every 2.3 hours. How large…

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Q: Jaox+31 =-3 L+X8 -

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Q: +9 ex -x

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Q: The value of business, currently priced at 100000 Rial, is expected to increase by 20% a year. After…

A: The exponential growth is defined by the equation, , where r is the growth rate, P0 is the initial…

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

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Q: suppose the yo-yo string is 28 inches and it completes one revolution in 3 seconds. If the closest…

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Q: same

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Q: An innovative rural public health program is reducing infant mortality in a certain West African…

A: For  the given  infant mortality at a rate of 8.3 % per year  Time for infant mortality to reduced…

Q: The total cost of producing x blankets per day is a²+8x+20 dollars and each blanket may be sold at…

A: We use second derivative test to find number of blankets where profit maximum

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: Two trains leave towns 1716 kilometers apart at the same time and travel toward each other. One…

A: The distance between two trains =1716 kilometers Let the rate of the faster train = x kilometer/hour…

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

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Q: Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum

A: Explanation of the answer is as follows

Q: The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: The perimeter of a rectangle is 178 meters. If 4 meters were added to its width, the sum is half its…

A: Given : Perimeter of a rectangle =178 meters Lets w be the width . 4 meters were added to the width…

Q: Find two positive numbers whose sum is 24 so that the product of the square of the first number and…

A: Given, Sum of numbers =24 Let numbers are x and y. x+y=24 P(x)=x2y4 is maximum.

Q: Find two positive numbers whose sum is 100 and whose product as largest as possible.

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Q: Two trains leave town 905 miles apart at the same time and travel toward each other. One train…

A: Given: Two trains leave town 905 miles apart at the same time and travel toward each other. One…

Q: An airplane travels 5096 kilometers against the wind in 7 hours and 5796 kilometers with the wind in…

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Q: When a small airplane flies with the wind, it can travel 450 miles in 3 hours. When the same…

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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: Isin ( 3x²+5x+2)'-

A: Formula used:

Q: (4x+3)dr æ(x+1)(x-3)

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Q: A rectangle is three times as long as it is wide and has the same perimeter as a square whose area…

A: This is s language problem

Q: A cable TV company has 3200 customers paying $130 each month. If each $1 reduction in price attracts…

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Q: An airplane travels 1334 kilometers against the wind in 2 hours and 1534 kilometers with the wind in…

A: Given,         An airplane travels 1334 kilometers against the wind in 2 hours and 1534 kilometers…

Q: In your own words, describe the process of completing the square of a quadratic function. Explain…

A: It is required to describe the process of completing the square of the quadratic function and to…

Q: Evaluate s -dxUsina 2' x+1x²+4

A: Our Aim is to integrate the given function ∫26(xx+x2+4)dxusing Substitution Method.Solution has been…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

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Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Let x and y be the average velocity of the plane in still air and the average velocity of the wind…

Q: In 2015, the median age at first marriage of U.S. women (27.1years) was_______ percentage less than…

A: From the given information, it is observed that the median age at first marriage of U.S. women in…

Q: Worker A can assemble a product in 5 hours while machine B can assemble the same product in 7 hours.…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: The Cloud North American cloud computing revenues from 2008 and projected to 2020 can be modeled by…

A: Given the equation of the model, y=0.231x2-2.242x+11.101 where x be the number of years after 2000 y…

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

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum…

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: A cable TV company has 5600 customers paying $130 each month. If each $1 reduction in price attracts…

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Q: Find the two positive numbers whose product is a maximum and the sum of one is five times the other…

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Q: What is the area of a rectangle that has a length of 3x and a width that is 5 less than 2 times the…

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Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: مرده X dx (3x²-1)³

A: This question is based on definite integral.

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: When area of a square is increasing twice as fast as its diagonals, what is the length of a side of…

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Q: One leukemic cell in an otherwise healthy mouse will divide into two cells every 12 hours, so that…

A: fn=4xa No.of laukemic cells after 12 days= 412     In a part put x= 12 Because x is in days…

Q: What is the time needed to travel a distance of  20x2 + 7x − 3 miles if the rate is 5x + 3 mph? hr

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Q: Max Z = 3x1 + 182x2 %3D Subject to 9x +5x를 S 72

A: In this question, we use the KKT condition to solve the NLP. MaxZ=3x1+182x2subject…

Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: When a plane flies with the wind, it can travel 2160 miles in 3 hours. When the plane flies in the…

A: Let the average velocity of the wind = w miles per hour  Let the average velocity of the plane in…

Q: When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in…

A: Assume x be the speed of the plane when travelling in still air and y be the speed of wind. When the…

Q: A jet travels 4074 miles against a jet stream in 7 hours and 5054 miles with the jet stream in the…

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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.