(a) Find scalars a and b such that z = ax + by. (a, b) = (b) Do there exist scalars a and b such that W = ax + bY? O Yes O No (c) If ax + bY + cW = 0, is it true that a = b = c = 0? O Yes O No

Q: Find sin 4.x cos 8x dx.

A:

Q: Find the values of 2 for which the determinant is zero. (Enter your answers as a comma-separated lis...

A:

Q: Find x such that the matrix is equal to its own inverse. A = -2 -5

A: Topic = Matrices

Q: Solve the following system of equations. x+2y 10 -x-5y = -19

A: x+2y=10 → (1)-x-5y=-19 → (2)adding⇒ (1)+ (2) x+2y-x-5y=10-19-3y=-9y=3

Q: For each table, determine whether it shows a direct variation. If it does, write its direct variatio...

A: Explanation of the answer is as follows

Q: 19. Mitch bought a total of 13 pizzas and buckets of wings for his big Super Bowl $11.75 for a pizza...

A: Given query is to find the the number wings buckets were bought.

Q: 18. A computer installer agreed to do an installation for $150. It took him 2 hours longer than he e...

A:

Q: What is the value of log to the base of 1000³? A. 9.9 In a triangle ABC, find side e if angle C = 10...

A: Question 1,Given,            log to the nase of 100033.To find : The value of log.

Q: Determine the size of the matrix. 2 1

A:

Q: Determine whether the following equation represents exponential growth or decay. y = -4(4)** x+3 Que...

A: We have to find if the equation represents exponential growth or decay and multiplier.

Q: 7) Solve the inequality algebraically: x + 2 X – 4

A: We will do it by the following two cases when x>4 and for x<4.

Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding J...

A:

Q: Find the y coordinate of the vertex: f(x) =x +5x+3 О-13/4 О 5/2 O 13/4 O -5/2 to search

A: Given query is to find coordinates of vertex.

Q: it takes angela 2hrs longer to do a certain job than it takes cat. They worked together for 3hrs, th...

A: Let t = time required by cat to do the jobthen (t+2) = time required by angela to do the job

Q: Determine the size of the matrix. 86 413 21-7 4 1

A: size of matrix is (no of row) *(no  of column) here no of row = 2 no of column = 5 size of matrix = ...

Q: In the figure, A, B and C are 3 points on the circumference of the circle such that AB BC and diamet...

A: ∠BAC=40° , AB⏜=BC⏜ and AD is diameter as shown in figure: We have to find (1) ∠CAD (2) ∠CED

Q: 6: Find the root(s) of f(x) =r-12.42x +50.444x-66.552 4<x56 to accuracy of 0.001. in the interval

A: According to our guideline we can only answer one question and rest can be reposted.

Q: Solve the following:   (ii) x^2 – 6x ≥13

A:

Q: In which scatter plot is r=-0.7? (A) (B) (C) (D) (E) (F)

A: Please find the solution

Q: Suppose that y varies directly with x, and y=6 when x 15. (a) Write a direct variation equation that...

A: A detailed solution is given below

Q: x² +x-5 (1) Find lim 1-2x-xr

A: topic- limits

Q: 12 20

A:

Q: solve P'x) wsing first principals a. let f :Ph \ 33→R, f[X) = X-3 b. let P:R -23-→R, f(x)=| X+2

A:

Q: A food server examines the amount of money earned in tips after working an 8-hour shift. The server ...

A: Here, let x be the number of $1 bills, y be the number of $5 bills, z=number of $10 bills and w be t...

Q: Without graphing what is the vertex of the quadratic function 2x^2-8x+8

A: Topic = Functions

Q: An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions wil...

A:

Q: 1 Use the graph to evaluate the function below for specific inputs and outputs. 9. y = g(x} 7 6+ 5+ ...

A: Here we have to evaluate the function by using the graph.

Q: Sketch the following curves. 33. y = 2x + 3x2 + 1 %3D

A:

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -X1 + ...

A:

Q: ?

A:

Q: Suppose that y varies directly with x, and y=3 when x 15. (a) Write a direct variation equation that...

A:

Q: g(x) = -1/2 (x+3)^2-4 compare to f(x) = x^2

A:

Q: -2(x+3)2+11=-151 Solve using the sqaure root property (If its possible could you type it out pleas...

A: Topic = Equations

Q: 3. 'Assume B, C, D, E are all bases for R2. If Pa-e-(). Pao- (7). Pe= (). 1 3 PB-E PD-C = %3D %3D 3 ...

A: Answer: The solution is as given below:

Q: To be recognized as an MVP (Most Valuable Player in a sports game, a player needs to reach a certain...

A: Please see the below picture for detailed solution. 

Q: -3 2 6 -4,b -5 Let A = |0 1 –7, T defined by T(X) = AX, find a vector X, whose 13 image under T is b...

A: Given T(X) =AX=b then we get three linear equation and three unknown . 

Q: 20. x2 = 5x

A: Topic = Equations

Q: 5 20 0 1 0 1 4 3 5 0 0 3 2 6 0 0 4 6 7 0 0 0 0 2]

A:

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. + 0...

A: topic- polynomials

Q: Find x and y. 13 7 9 7 13 7 2x + 1 7 -3 17 16 12 -3 17 16 3x 0 2 7 0 2 3y - 2 o (х, у)- ,y)

A:

Q: In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the n...

A:

Q: Amy agreed to clean her brother’s room for 36. It took her 1 hour longer than expected and therefore...

A: Topic = Algebra

Q: The perimeter of a rectangular window frame is 184 inches. Find the dimensions of the window frame i...

A: Given query is to find the dimensions of the window.

Q: Use elementary row or column operations to evaluate the determinant. 5 3 4

A: Solution is written in below steps.

Q: (xs a 5. Jenel bought 10 apples and 12 pears for not more than P500.00, and 15 apples and 4. Suppose...

A: Let us consider  inequalities, x≤a and x≥a, a is any real number. Then solution of these inequalitie...

Q: .  If y is inversely proportional to x, and if y = 16 when x = 5, find the constant of variation

A: Find your answer below 

Q: Write an equation in slope-intercept form for the line with y-intercept -6 and slope O=0

A: Topic = Coordinate geometry

Q: The height h of a projectile is a function of the time t it is in the air. The height in feet for t ...

A: Question: The height h of a projectile is a function of the time t it is in the air. The height in f...

Q: Use elementary row or column operations to find the determinant. 3 3 -8 7. 2 -5 5. 68S3

A: We have to find determinate by row or column operation. 

Q: Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduc...

A: A matrix is in row echelon form if 1. All rows consisting of only zeroes are at the bottom. 2. The l...