Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are th...
A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old...
Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in ...
A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.
Q: Domain
A: Given function
Q: How do I solve?
A:
Q: One zero is given, find all others. p(x)= x^3-6x^2+13x-20 ;4
A: Given, one zeroes of polynomial
Q: Explain how to graph x2 + y2 = 1.
A: Given:Explain how to graph x2 + y2 = 1.
Q: Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} issymmetric but neither ...
A: Given, relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)}.
Q: I am a two-digit number whose digit in the tenth place is 1 less than twice the digit in the ones pl...
A: Assume that the digit at ones place be ‘x’ and the digit at tens place be ‘y’. the given information...
Q: Darren drives to school in rush hour traffic and averages 35 mph. He returns home in mid-afternoon w...
A: Let the distance between his home and school is x miles.
Q: The numerical equation a2 = 1 has exactly two solutions.Find at least eight solutions of the matrix ...
A: The 2 obvious solution for the A2 = I3 are A = I3 and A = – I3The solution are as follows.
Q: Explain Equality of matrices. Give a suitable example.
A: Equality of matrices:Two matrices are equal if all three conditions given below are satisfied: · Bot...
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: the sum of the areas of two squares is 73 sq yd the sides of the second square are 5 yd longer than ...
A: Let a be the side of the first square and b be the side of second square. The given details can be w...
Q: 10(3x2-13x) = -40 . Zero Factor Property
A: Given:
Q: A company produces boxes that are 5 feet long, 4 feet wide, and 3 feet high. The company wants to in...
A: To determine the dimension of the new box.
Q: A plane flies 500 mi/h. The plane can travel 1100 miles with the wind in the same amount of time as ...
A: Let w be the speed of the wind.
Q: how many miles will a person run during a 10-kilometer race?
A:
Q: Show that the function f : N→ N, given by f (1) = f(2) = 1 and f(x) = x – 1,for every x > 2, is o...
A: Given, the function f : N→ N, given by f (1) = f(2) = 1 and f(x) = x – 1, for every x > 2.
Q: Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b} is an equiv...
A: Given, the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b}.
Q: A washer costs 25% more than a dryer. If the store clerk gave a 10% discount for the dryer and a 20%...
A: Let x be the cost of dryer
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: Show that the relation R defined in the set A of all polygons as R = {(P1, P2) :P1 and P2 have same ...
A: Given, relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number...
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:
Q: If you have to travel 379 miles total from Lima to Toronto, and your car gets 28 miles per gallon an...
A: Given,Total distance = 379 milesCar gets gas = 28 miles per gallonCost of the gas = $2.33 per gallon
Q: Let T and U be self-adjoint operators on an inner product space. Prove that TU is self-adjoint if an...
A: It is given that T and U are two self-adjoint operators on an inner product space.
Q: A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 doll...
A: Let x pounds of Pistachios is mixed with y pounds of Walnuts.
Q: Solve each system of equations by graphing {2x-2y=6 Y= -2x+3}
A:
Q: Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary. x...
A: The equation of a line having x-intercept (a,0) and y-intercept (0,b) is given by
Q: How do I solve for x
A: Given equation is,
Q: Show that zero is the identity for addition on R and 1 is the identity formultiplication on R. But t...
A: addition:
Q: Question written on a piece of paper and submitted by photo, thank you!
A: Given:
Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B. S...
A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B
Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What ...
A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12....
Q: Show that an onto function f : {1, 2, 3} → {1, 2, 3} is always one-one.
A: Given, f : {1, 2, 3} → {1, 2, 3} is an onto function.
Q: A company produces boxes that are 5 feet long, 4 feet wide, and 3 feet high. The company wants to in...
A: Let the increased amount is x feet. So new dimensions are (5+x) feet , (4+x) feet , (3+x) feet
Q: An object is thrown into the air at a height of 60 feet. After 1 second and 2 second, the object is ...
A: Given:
Q: Two cubes have side lengths that are equal to 2x and 4x. How many times greater than the surface of ...
A: Surface area of cube of side length "a" is given by 6a^2.
Q: Perform the operations indicated. "G:)-(;3) (a) (2 5 -3) 4 -2 5) 3 2) (b) /-6 -2 -3 3 (2 5 -3 7) (c)...
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...
Q: for the set b={3}, determine n(b)
A: Given,
Q: 3/x -1/3 =7/6
A: To determine the solution of the equation.
Q: If R1 and R2 are equivalence relations in a set A, show that R1 ∩ R2 is also an equivalence relation...
A: Given, R1 and R2 are equivalence relations in a set A. So, both R1 and R2 are Reflexive, Symmetric a...
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: A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half...
A: Given:
Q: Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} asR = {(a, b) : b = a + 1} is ref...
A: Given, relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1}.
Q: A cereal box manufacturer makes 32-ounce boxes of cereal. In a perfect world,the box will be 32-ounc...
A: Given size of the box = 32 ounce they allow a difference of 0.06 ounce.
Q: Let V be an inner product space, and suppose that T: V→V is linear and that ||T(x)|| = ||x|| for all...
A: Given:
Q: A manufacturer produces three products x, y, z which he sells in two markets.Annual sales are indica...
A: The matrix for the product x, y, z per market be denoted by matrix A:
Q: There are 650 students in a school. If the number of girls is 106 more than the boys, how many boys ...
A: It is given that the total number of students in a school is 650.Let consider the number of boys be ...
Q: Consider f : R+ → [4, ∞) given by f(x) = x2+ 4. Show that f is invertible with the inverse f-1 ...
A: The given function is
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