Find two consecutive integers such that tn more than twice the smaller is seven less than three times the larger.

Q: 5. Solve 6cos2x - 5sinx - 2 = 0 on the interval x € [0,2π]

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Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: Find three consecutive even integers such that the sum of the squares of the first two is four less…

A: Let the three consecutive even integers are n , n+2, n+4

Q: Find two positive integers such that the sum of the first and five times the second number is 2000…

A:

Q: The digit of positive integer, having three digits are in AP. And are their sum is 15. The number…

A: given that three digits sum is 15number obtained by reversing the digits is 594 less than the…

Q: An equation that is satisfied for every value of the variablefor which both sides are defined is…

A: An equation that is satisfied for every value of the variable for which both sides are defined is…

Q: Find all sets of three positive consecutive even integers such that twice the sum of the two is less…

A: First take three consecutive even integer and then satisfied condition

Q: Find three consecutive integers such that the sum of the first, twice thesecond, and three times the…

A:

Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.…

A:

Q: Find three consecutive integers such that one half of their sum is between 15 and 21.

A: Let x, x + 1, x + 2 are three consecutive integers. Now, half of their sum is between 15 and 21

Q: Find three consecutive odd integers such that the product of the first and the second is 8 more than…

A:

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

Q: - Find two positive even consecutive integers such that the square of the smaller integer is 10 more…

A: Consider the first even positive integer be 'x'. The second consecutive even positive integer be…

Q: Find three consecutive even integers such that three times the smallest integer is four more than…

A: Given,         The three consecutive even integers such that three times the smallest integer is…

Q: The product of two positive integers is 112, and their sum is 22. What are the integers?

A: Since, we have been given that the product of integers is 112 and their sum is 22.Let 'x' and 'y'…

Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

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Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: Find three consecutive even integers such that three times the sum of the smaller two integers is 22…

A:

Q: Find two non-negative numbers such that the sum of two times the first and three times the second s…

A:

Q: Find all pairs of numbers that satisfy these two conditions: Their sum is 20 and The sum of their…

A: This question is related to numbers,  We will solve it using given information.

Q: Find three consecutive odd intergers such that the product of the two larger numbers is 18more than…

A: To form the equation satisfied by the required integers  and therby solve for them

Q: How many positive integer solutions are there of the equation x+y+z=5?

A:

Q: A positive integer is 4 less than another. If 6 times the reciprocal of the smaller integer is…

A: Let the smaller integer is 'x' and larger integer is 'y'.A positive integer is 4 less than…

Q: The sum of the first 10 terms of an AP is 30 and the sum of the first 40 terms is 90. Find the first…

A:

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: Assume that the number of hours Katie spent practicing soccer isrepresented by x. Michael practiced…

A:

Q: Find three consecutive odd integers such that the product of the first two is 52 more than the third…

A: Let the three consecutive odd integers are  n-2, n and n+2 So as per question, product of first two…

Q: Find two positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: Find three consecutive odd integers such that the sum of the first and second is 27 ess than the…

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Q: Match the 6 solutions on the left to their equivalent solutions on the right (3 total). Unless…

A: Let us consider the two solutions on the left-hand side π3n, n is any odd integerπ3n, n is any even…

Q: Three consecutive odd integers are such that the sum of 5 times the first integer and 8 times the…

A: Three consecutive odd integers are given such that, The sum of 5 times the first integer and 8 times…

Q: Findβsuchthattheequationβx2+x+β=0 has repeated real solution

A:

Q: find three consecutive odd integers such that the sum of the first and the second is sixteen more…

A: Given:The three consecutive integers are odd numbers.The sum of the first two consecutive odd number…

Q: Find the two consecutive positive integers such that the square of the first is decreased by 17…

A:

Q: Find two positive numbers x and y , whose product is 900 and whose sum is as small as possible

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Q: Find the number between 1/2 and 3/2 such that the sum of this number and its reciprocal is as big as…

A: The numbers between 12 and 32 or 0.5 and 1.5 are as follows: 0.6, 0.7, 0.8, 0.9, 1, 1.2, 1.3, 1.4…

Q: A can do a piece of work in 80 days . He works at it for 10 days and then B alone finishes the…

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Q: Solve for x and please show all work  x+8/(x+3) (x+4) = 3/x+3

A: Given:- (x+8)(x+3)(x+4)=3x+3 To Find:- solve for x

Q: Find two concecutive odd integers such that when the smaller is added to twice the larger, the…

A:

Q: Find the three consecutive integers such that that product of the first and third is one less than…

A: Take three consecutive integer as below :n-1, n , n+1

Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

A:

Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: 2tan(3x) + 3 = 1

A: subtract both sides by 3 divide both sides by 2

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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

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Q: show equation has at least one solution on the indicated interval1/x+1 = x^2-x-1 on (1,2)

A: We have been given a nonlinear equation and we are supposed to show that the given equation has at…

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.