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Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: Twice a number plus the square root of the number is twelve minus the square root of the number.

A: According to the given information:Let the number be ‘x’So, according to given question:

Q: How do I solve?

A: Domain of the function is the set of the possible values of the independent variable, here “x”.Domai...

Q: Solve x2 + 10x + 25 = 108 by using the Square Root Property.

A: Click to see the answer

Q: Compute the determinants of the following elements of M2 x 2(C). 1- 4i 5 -- 2i 6 + 4i ) "C ) (a) (-1...

A: Click to see the answer

Q: When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find the remainder.

A: Given:When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find the remainder.

Q: Explain how to graph x2 + y2 = 1.

A: Given:Explain how to graph x2 + y2 = 1.

Q: Prove that if {y1,...,yn} is an orthogonal set of nonzero vectors, then the vectors {x1,...,xn} deri...

A: Let consider the orthonormal set of nonzero vector be {w1, w2 …wn} instead of {y1...,yn} and the vec...

Q: Assume a large vehicle holds 75 gallons of fuel and can travel 979 miles on a full tank. What is the...

A: Gas mileage per gallon: Estimate how much spending on gasoline in an average month, or estimate the ...

Q:

A: Given:

Q: What is the diameter of a unit circle

A: The radius of a unit circle is 1.

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many solutions...

A: Given:

Q: Let V be an inner product space, and let W be a finite-dimensional subspace of V. If x $ W, prove th...

A: Click to see the answer

Q: Let V=C³ with the standard inner product. Let x=(2,1+i,i) and y=(2-i,2,1+2i). Compute <x,y>,||...

A: Given:

Q: (a) A matrix B in Mnxn(R) is called orthogonal if BB' = I. Prove that if B is orthogonal, then det(B...

A: Note:As per our honor code, we will solve first sub-part for you. To get remaining sub-part solved p...

Q: -5+2(8-12)

A: Use PEMDAS rule to simplify.First we work with the parenthesis. In it 8-12=-4

Q: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you max...

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the...

Q: Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of wheat flour. A tray of pumpkin...

A: Let blueberry muffins be x and the wheat flour be y. Baking a tray of blueberry muffins takes 4 cups...

Q: A rectangular piece of metal is 30 in longer than it is wide. squares with sides 6 in. long are cut ...

A: Consider the provided question,Let width of the rectangular piece of metal = x in.Length = (x + 30) ...

Q: Quelu ate each eocpression 17 19 C-2)4 21 (-3)5 23-2x34 each eapression 25 -2x5A 12-3 -4(9-8+ C-7) (...

A: Click to see the answer

Q: There are 40 pigs and chickens in a farmyard. Joseph counted 100 legs in all. How many pigs and how ...

A: Let x be the number of pigs and y be the number of chickens.

Q: I bought 3 bags of marbles. My friend bought 1 bag and he also had 24 loose marbles. We discovered t...

A: Given that 1 bag has x marbles.You bought three bags of marbles. So there are 3*x= 3x marbles in the...

Q: How do I determine the range?

A: Given:

Q: Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1...

A: Given, dimensions of book and bin.

Q: Solve the equation. x(x2-x-1)=(x2-2x)(x+1)-2x

A: Expand both sides and combine like terms.

Q: Solve the following pair of linear equations by the substitution method. 3x – y = 39x − 3y = 9

A: Given:

Q: a local landscape supplier has delivered 10 cubic yardds (yd3) of hardwood mulch to your residence a...

A: Given that the shovel I'll use is 9 inches wide, 11 inches long, 3 inches deep.So volume of the sho...

Q: Solve the following system of equation graphically x + 2y = 1, x – 2y = -7, also read the points fro...

A: Given,

Q: Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minutes. How ...

A: Given, Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minute...

Q: Label the following statements as being true or false. a) An inner product is a scalar-valued functi...

A: Hey since there are multiple subparts the first four is answered. If any other subpart is required k...

Q: Prove that the total number of distinct equivalence classes of congruent n x n real symmetric matric...

A: First of all, consider the definition for the equivalence class for any matrix.The equivalence class...

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many solutions...

A: Given, pairs of linear equation.

Q: Form the pair of linear equations in the following problems and find their solutions (if they exist)...

A: Let the fixed charges = Rs x and the cost of food per day= Rs y

Q: Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $...

A: According to the given information:Amount invested by Alex in company’s stock = $2000After a year, t...

Q: Prove that if B is symmetric, then ||B|| is the largest eigenvalue of B.

A: Calculation:To find the norm of the matrices:

Q: Jenn can rent a moving truck for either $99 with unlimited mileage or $49 plus 80¢ per mile. For wha...

A: Let x be the number of miles.

Q: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

A: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

Q: On a steep mountain road the elevation dropped at the rate of 9 feet per 60 feet. Using signed numb...

A: Here we have to find the rate at which the road dropped per

Q: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what tim...

A: Let B alone do the work in x days.Then B’s one day work = 1/x.

Q: what is -2x +5x-9=3(x-4)-5

A: Given:-2x +5x-9=3(x-4)-5

Q: You invested $10,000 in two accounts paying 5% and 8% annual interest, respectively. If the total in...

A: Click to see the answer

Q: A person buys 28 bottles of orange juice for a party. The store clerk offers cardboard carrying case...

A: The person needs five cases. The first four cases will have 6 bottles each and the last case will ha...

Q: Evaluate for n equals -2 n2+9n+3

A: The given expression is

Q: Ten years ago the ratio between the ages of Mohan and Suman was 3:5. 11 years hence it will be 11:16...

A: Let the present age of Mohan be ‘x’.Let the present age of Suman be ‘y’.

Q: A father is three times as old as his son, and his daughter is 3 years younger than the son. If the ...

A: given A father is three times as old as his son, and his daughter is 3 years younger than the son. I...

Q: A transit is 200 feet from the base of a building. There is man standing on top of the building. The...

A: The given data can be represented in the following figure.

Q: The sum of the ages of a wood plaque and a bronze plaque is 20 years. Fouryears ago, the bronze plaq...

A: Given: The sum of the ages of a wood plaque and a bronze plaque is 20 years. Fouryears ago, the bron...

Q: Consider the line x = 5. The slope of this line is: 2.

A: Given:x = 5x – 5 =0Let f (x) = x – 5