Find f+g, f-g, fg and for the given functions f(x) = 3x² + 25x + 42 and g(x)=x+6 (f+g)(x) = (Simplify your answer.) (f- g)(x) = (Simplify your answer.) (fg)(x) = (Simplify your answer.)

Q: Use the given graph of the function f to answer parts (a)-(o). (a) Find f(-28) and f(-8). f(-28) =…

A: Graph of the function is given, we have to answer required values based on the graph. Note:…

Q: (Please add illustration) A 580-ft wide river spanned by a bridge, which has 1/6 of its length on…

A: Length of bridge

Q: (d) Solve the nonhomogeneous system of linear equations 2x - 4y + 5z = 8 -7x+14y+4= = -28 3x-6y+z=12…

A: Let's solve three linear equation by using gauss Jordan elimination.

Q: DWS. =1 tion. e range. ptation.) ct the correct choice below and, if necessary, fill in the answer…

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Q: Evaluate the integral. (Use C for the constant of integration.) 1₁ cos(0) sin³ (0) de

A:

Q: 6. Charlie's Chick Peas come in cans as shown. a) Determine the volume of one can. b) Could Charlie…

A: Given Radius of base, r=4 cm Height of can, h=18 cm

Q: 1. Prove that if n is a positive integer not divisible by 3, then n² - 1 is always divisible by 3

A: Use the % (mod) and remainder.

Q: Give the vector equation of the plane passing through P, Q, and R. P = (3, 3, 3), Q = (4, 0, 2), R =…

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Q: on which the function is increasing. in interval notation. Use a comma to separate answers as…

A: Topic:-  function

Q: Leo is an election officer. On election day, he travels to the polling place, which is 4.8 miles…

A: Please see the below picture for detailed solution.

Q: 11) Referring back to the previous question - how much time would elapse if Carol was running at 4.0…

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Q: Use the graph representing the type of health insurance coverage for individuals in a selected city…

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Q: A group of researchers launched a rocket from the ground level with starting velocity of 160 ft.…

A: Follow the procedure given below.

Q: + 3 dx

A:

Q: Why will f(x)=2x² + 5x X have no zeros?

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Q: Find an LU-factorization of the matrix. (Your L matrix must be unit diagonal.) R LU = 8 ******* 1 0…

A: The given matrix is; -2 1  8 0.

Q: Given that f(x) = 2x + 5 and g(x)=x² - 4x-6, find (gof)(7). (gof)(7) = (Simplify your answer.)

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Q: Find   g−1 ∘ f −1

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Q: (5) 3 Jack wrote the given expression Is Jack correct? If Jack is correct, give the reasoning why he…

A:

Q: Given that h(x)=x², find (ho h)(x). (ho h)(x) = (Simplify your answer.)

A: Finding hoh(x)

Q: 27. If an equivalence relation has only one equivalence class, what must the relation look like?

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Q: Each month you get your water bill in the mail. You know that each month you are charged a service…

A: Given Charge of water combines a service fee of $22 and a fixed rate, m, per gallon of water used.…

Q: Write the arithmetic series using summation notation. 41. 12 +9+6+3+0+(-3) 43. 45. 48 +60 + 72 +84…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Hey! Need help solving this question, thank you!

A: To find out the population in the given set.

Q: Find a formula for the quadratic function whose graph has a vertex at (2, 2) and zeros at x = -5 and…

A: Topic - quadratic function from vertex and zeros we are given vertex of quadratic function at (2,2)…

Q: Find the degree of this polynomial. -k

A: The given polynomial is  p(k)=-k

Q: When you divide cx³ - x² + dx - 4 by (x - 2), the remainder is 18. When you divide by (x + 2), the…

A:

Q: a. d²y 5dy + dt2 t +6=t

A:

Q: 1. Write as an algebraic expression: Five time the sum of a number and 4 3. Evaluate the expression…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 11. You were supposed to use of a cup of cocoa to make a batch of cookies, but you only have of a…

A: Concept: One batch of cookies can be prepared using 2/3 of a cup of a cocoa We have to find what…

Q: Find the following for the function f(x)=4x²+2x-3. (a) f(0) (b) f(3) (e)-f(x) (f) f(x+2) (a) f(0) =…

A:

Q: x-1)(x+4)/(2x-4)(3x+5)

A:

Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Set up the problem and calculate the mass of 18.7 mL of nickel. See the table below for the density…

A: Topic - Algebraic operations we are given  volume of nickel =18.7 mL Density of nickel=8.91 g/mL…

Q: Refer to the following matrices. A =  -1 4     3 −4 5 0     B =   4 3     3 1 −4 4 Compute  A +…

A:

Q: The sum of three numbers is 64. If the 2nd number is two times the first and the 3rd number is four…

A: To find the numbers with the given conditions

Q: What's the answer thank you.   2(9,600)75/16)=

A: What's the answer thank you. 2(9,600)75/16)=

Q: Find any vertical asymptotes for the graph of X a) f(x) = ²4 b)f(x) = c) f(x) = 2x x²+4 2x-1 x²-x-2

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Q: 2.28 Determine if the following matrices are positive: 2 1-27 1-2 1 3 1-1 (a) (b) [2 1 3 2-1 #] (c)…

A: First I have written the definition of positive matrix, just use it for the given matrices and find…

Q: {8-8-8-8) Determine if W₁ is a basis for R³ and check the correct answer(s) below. DA. W, is not a…

A: Here W1 is the set 100, 110, 001, 00-1

Q: A C F 130 E 20 B G

A:

Q: Consider the following function: f(x)=6x+8 What is f(x+h)-f(x) /h?

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Yesterday, Rafael went on a bike ride. His average speed was miles per hour. Today, he went on…

A: here we just to find the linear equation that represent the distance travelled by these two days.

Q: Devon invested $6500 in three different mutual funds. A fund containing large cap stocks made a 7.3%…

A: Devon invested $6500 in three different mutual funds. A fund containing large cap stocks made a 7.3%…

Q: B. Jolve each of the inequalities. Express your answer using set builder notation and interval…

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Q: Given that 3 sheep, 3 dogs, 7 hens, and 2 rabbits cost 1085 coins, 5 sheep, 4 dogs, 6 hens, and 3…

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Q: 4. 4x² - 4x + 1 = 0 5. 2x² + 6x +3=0

A: Answer (4) We have to characterize the roots of the quadratic equations using the discriminant 4x2 -…

Q: Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) A(z…

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Q: 3) The expression 2x3 + 9x2 + ax +3 has a factor x+3 a) Find a 4) Find the remainder when f(x) =…

A: