TOPIC: APPLICATION OF LINEAR EQUATIONS John, Paul, and George can finish a job in 12, 16, and 19 hours respectively. John and Paul worked together for 4 hours. Paul got tired so George worked in place of him until the job is finished. How long did John work?

Q: 4 friends purchase an apple pie and a berry pie to share. Each pie is $6. The 4 friends want to…

A: We can solve as follows

Q: Enrollment in a business seminar increased from 58 people to 70 people. What was the percent…

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Q: a) A: and 12. [20 b = 1 The solution is: x1 = 1 X2 = 2 b) А- and b = -2 1 -5 The solution is: x1 = 2…

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Q: fuo= x²-Gx +25 form Reurite in Vertex

A: Given,              f(x) = x2-6x+25

Q: Use inverse matrices to find the solution of the system of equations. + 7y + 6z = 39 4y 3z - 13 5x +…

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Q: 7 7 8 5 - 3 Add: 8 2 3 2 4 -1

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Q: For matrix A if f(X) = X² – 3X, calculate f(A)? 36 (18 28) 22 А. (22 18 В. 36 28 18 C. (36 28. (22…

A: On solving this we will get :- Option (A) is correct

Q: For the following right triangle, find the side length x. Round your answer to the nearest…

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Q: What is the solution to the equation x2 +11x+30 = 0? А. x= 5 and x= 6 В. x = 10 and x=3 С. X=-10 and…

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Q: The population of a small town is modeled by the equation  P = 1950e0.5t  where t is measured in…

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Q: For the polynomial below, 1 is a zero of multiplicity two. g (x)=x-4x+10x-12x+5 Express g (x) as a…

A: Here, the given polynomial is: g(x)=x4-4x3+10x2-12x+5 Given that 1 is the zero of the polynomial…

Q: QUESTION 1 Let f(x) =x- 2 +8. Compute f-1(5): %3D

A: Given that         f(x) = (1/2)√(x-2) + 8  Here we have to compute f-1(5).

Q: Rewrite the expressions as a single logarithm. log,(x-3)-2 log, y- 3 log,(x+ 1)

A: Given query is to write the expression is single logarithmic expression.

Q: Suppose that the augmented matrix of a system of linear equations for unknowr 11 8. -5 1. 3. 33 -3…

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Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by…

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Q: 7 1 -4-8 -1-7 -10 2 [E [G -4 2 15 -10 4 -3 0 [E] + [G] =

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Q: The inverse of a matrix can only be found for matrices of dimensions n x n. Select one: O True O…

A: We will find whether the given statement is true or false in the following step.

Q: Determine if the function defined below is one-to-one, onto, both, or neither. f:X Y where…

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Q: 4 Find a unit vector in the direction of 3 1 A unit vector in the direction of the given vector is…

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Q: Evaluate Syp. the sum of the first ten terms of the arithmetic sequence. a, = 14, a1p = 5.5 (Type an…

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Q: 32x – 2x'y? x* - xy*

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Q: O Sobve the eava tíon X-6 上3 X-4 2x-1 243 4 Kt6 3. 2X-3 V-3 X-3 3D0 X+A 4 Xt6 -3 X-h 3.

A: This question can be solved using properties of determinant.

Q: Compute the determinant of the matrix by cofactor expansion. 2 -2 6 41 2 2 7 1 6 -6 13 14 |-2 2 -6 1…

A: Given problem:-

Q: (b) A password consists of 5 letters followed by 4 digits. How many passwords are possible if: (i)…

A: We have to calculate how many password is possible for each case .

Q: Define the variables x and t as x = 2.56, and t=6.7, then evaluate: a) 2x4 – 6x3 + 15x2 + 12 e 2x b)…

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Q: Suppose the graph of fis given. Describe how the graph of the function can be obtained from the…

A: Given query is to find the transformation performed.

Q: Suppose that the velocity v (t) (in m/s) of a sky diver falling near the Earth's surface is given by…

A: Solution of question is written in below steps.

Q: Compute the determinant of the matrix by cofactor expansion. T-4 3 -3 2] 0 -1 0 3 0 0 0 -3 1 4] 2 -2…

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Q: Suppose that y varies inversely with x, and y=-9 when x=-2. (a) Write an inverse variation equation…

A: As y varies inversely with x, we take y=c/x

Q: The given amount of annual interest is earned from a total of $11,000 invested in two funds paying…

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Q: fatch the following word or phrose with its correct meaning. v Closed figures with any number of…

A: Match the following words with their correct meaning

Q: 3 - 9 - 4 -1 -4 -2 2 2 8 - 2 Given matrices A = 3 -6 -5 - 1 -6 9| and B = -3 - 7 -1 6 - 2 4 4] 1 5…

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Q: c and D are sets of real numbers defined as follows. =Cy≥y2 =Dy>y5 Write  c∩D  and  c∪D  using…

A: The given sets are: C={y|y≥2}D={y|y>5} Note that: C represents [2,∞) on the number line and D…

Q: (b) If $2000 is invested today at 8% compounded quarterly, how much would it be worth in 2030? 2022…

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Q: f(n)=(n-1/2) (n-1/3) Its n-1 over 2 and n-2 over 3 Write the first six terms of the sequence…

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Q: A population is initially 30 and is known to decline at a continuous rate of 2.98 % per yea Estimate…

A: let the equation be of the formy=abxwhere a is the initial population            x  is the number of…

Q: Explain how the graphs of g and h are obtained from the graph of f. f(x) = x, g(x) = (x + 4)*, h(x)=…

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Q: Evaluate the determinant of the matrix by a cofactor expansion along the first row. -1 1 A = 9 0-9 1…

A: Topic = Determinant

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 3, -5, 9, -4, 2 Leave your answer…

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Q: Find the sum of the first 11 terms in a geometric progression 1,-2, 4,-8, ... A. 683 В. — 341 С. 768…

A: See the details solution in below

Q: H.W: Find Laplace Transform for following functions: a) f(t) = e¬3t sin² (t)

A: Doing (a)f(t)= e-3t sin2tsince,sin2t=1-cos(2t)2f(t) =e-3t 1-cos(2t)2L{ f(t) } =L{ e-3t 1-cos(2t)2 }…

Q: Let A and B be the following matrices. -8 -7 8° A = B = -3 -3 6 8 1 Perform the following…

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Q: lim x" = a" of limits. %3D for any positive integer n, is an example of a O a. Property

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Q: The price p and the quantity q sold of a certain product is said to obey the demand equation q =…

A: When price is between 0 to 63  Quantity = -11p +695 Here p= 45 So  q = -11(45) +695  q = 200  So…

Q: Find a unit vector in the direction of the given vector. A unit vector in the direction of the given…

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Q: Suppose that the polynomial function fis defined as follows. S(x) = (x-4)°(x+5)(x-6)? List each zero…

A: Given that the polynomial function f is defined as  f(x) = (x-4)2(x+5)(x-6)2.

Q: Determine the values of the parameter s for which the system has a unique solution, and describe the…

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Q: ALL of the following are not types of functions except. O a. one - to - many O b. many - to - many O…

A: We have to find which is not a type of function.

Q: For the arithmetic sequence, find a,, and a, when a, = 4 andd= -5.

A: We have to find arithmetic sequence an, given that a1=4, d=-5 where, a1= first term in the sequence…