180 Learning Activity - Sections 6.3 & 6.4 - Algebra of Functions, Function Composition, and Difference Quotients Kzavian Patrick Names: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x. f(x)=x²-3x+1 2 g(x)=√8-x h(x)= x+1 a. (f-g)(-1) b. (g.h)(0)

Q: Triples. x = = 13, y = 6 Pythagorean Identity: (x² - y²)² + (2xy)² = (x² + y²) ² 49, 156, 205 133,…

A: Given is to find Pythagorean triples.

Q: ebra.org/lti/launch 5 -4 -3 -2 W 6 Y 5 4 -3 2 1 -1 0 L -1 -2 -3 -4 -5 -6 1 (1, 1) 2 3 4 (4,3) 5 X 6…

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Q: Determine the missing coordinate in the ordered pair (-5,?) so that it will satisfy the given…

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Q: X+2 x+3 x² + 3x x² + 6x +9

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Q: Simplify the complex expression using either Method 1 or Method 2. 5 x+6 5 X+6 - 10

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Q: Solve for n. Z= 4c n

A: The given equation is: z=4cn    ...1

Q: 6. State whether the graph of each quadratic relation opens upward or downward. Explain how you…

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Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A: We will find the required.

Q: Which of the following is the area of the parallelogram formed by vectors (0, -3,1) and (1,4,-2) ?…

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Q: 3. Which property could be used to simplify the following division problem? 7/2 Ozero exponent…

A: which property used to simplify the following division problem   1s-2

Q: Write a polynomial function, P, in factored form by using the given information. P is of degree 3;…

A: see below the answer and explanation

Q: Whats the solution? 1x-2y+2z=-9 −3x+7y-4z=21 0x−2y+4z=−12

A: See this solution in below. By elimination method

Q: What is the slope of a line parallel to the line whose equation is 2x - 5y = 30. Fully simp your…

A: Given query is to find the slope of the parallel line.

Q: Passing through (-4,6) and (2,6) What is the point-slope form of the equation of the line? (Do not…

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Q: 4) Find the scale factor: 4in:5ft

A: 5 ft = 60 inches because 12 inches is 1 foot.   The scale factor is 60/4 = 15

Q: Find the amount invested in a saving account so that the balance at 7% interest compounded annually…

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Q: A rectangle’s length is 2 feet shorter than five times it’s width. The rectangle’s perimeter is 416…

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Q: DISTANCE (MILES) 27 24 21 18 15 12 1 2 3 6 TIME (HOURS) 6 7 8 9 10

A: Use rate of change concept

Q: The height of a triangle is 77 feet greater than the base. The area of the triangle is 247247 square…

A: I am attaching image so that you understand each and every step.

Q: olve the equation and state the solution set. Remember to identify the values of the variable for…

A: To solve the given equation.

Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: Statesville's population in 2010 was about 24,800, and was growing by about 1.1% each year. If this…

A: Here we have to find the population in 2015

Q: Find the solution to the system of equations graphed here. x x 4x A B C D (1,3) (3,1) (-1.-3) -10 E…

A: We have given graph of system of equations  From given graph  Intersection point is given as x,y=1,3…

Q: 12. The sequence des First five terms of the sequence: Domain: Range: Maximum: Minimum: -10 -10 Y -5…

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Q: 2) Given that -1 is a zero a) Factor f(x) = 2x³ + x² − 37x – 36 b) Solve. 2x³ + x² − 37x − 36 = 0 -

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Q: Let A and B be 3×3 matrices, with det A= -9 and det B = 5. Use properties of determinants to…

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Q: 1≥x-9 or x-9>3

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Q: Write the rational expression in lowest terms. 2c²+12cd-32d² 2c²-6cd+4d²2 Select the correct choice…

A: Given query is to simplify the expression.

Q: 3x^3+x^2-12x-4=0 please solve it by grouping (required by teacher), I don't really understand how…

A: NOTE: Refresh your page if you can't see any equations. . solve by grouping means first we need to…

Q: Which of the following matrix-vector products Av are defined for the matrix A and column vector v of…

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Q: Write the slope- intercept form of the equation of the line. -5-4-3-2-1 -2 y = 4x +3 y = 3x + 4 y 3…

A: Topic - Slope intercept form of line We know that if line has slope m and y intercept as c,then it's…

Q: Exercise 4 Explain your work. Factor completely 2x² - x - 6.

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Q: 8. Which of the following is the correct set up for the synthetic division of 3³+3x²-x+1 x+2 -2 3 3…

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Q: How many centuries are in 164,240 days? [hint: 1 century = 100 years]

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Q: Your father is planning to cook for 25 people using a recipe that specifies two and a half cups of…

A: Given, Father is planning to cook for 25 people using a recipe that specifies two and a half cups of…

Q: Implement the Euclidean algorithm to find the greatest common denominator (GCD) 1) give an example…

A: The objective of the question is determine the GCD of the given number.

Q: A computer shop charges $20 per hour( or a fraction of an hour) for the first two hours and an…

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Q: For f(x) = 2x²-1, what is and (f ° f)(-2) ? 07 O-97 06 13

A: f(x)=2x2-1x=-2

Q: Find an expression for the perimeter of this shape. 2+x x - 3 ○ 8x – 2 ○ 5x 08x 0 52 – 2 2x + 1 X

A: We have to determine the perimeter of shape

Q: Determine the x- and y-intercepts, if possible, for the following function. If such an intercept…

A: To find intercepts for the given function

Q: manufacturer produces coffee makers. She estimates that by selling them for x dollars each, she will…

A: Given query is to find maximum revenue.

Q: and

A: We have to solve for x  according to the given information

Q: A student was asked to simplify two expressions by combining like terms explain the mistake in each…

A: A student was asked to simplify two expressions by combining like terms, to explain the mistake in…

Q: Factor each expression. 4z2 - 20z + 25 9x2 + 48x + 64 81z2 + 36z + 4

A: Here we have to factor the expression.

Q: QUESTION 10 Let M be the 3x3 matrix 24-5 0-1 3 722 What is the matrix M{23), a minor of M? 02 4 72 O…

A: The objective of the question is determine Minor of M{23} .

Q: Find the difference and simplify. x² +8x x2 +16x + 64 x+9 x+8

A: To simplify the given expression

Q: Solve for X if B(I + CX)A−¹ = = C.

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Q: Water glasses on the shelves are broken and must be replaced. The replacement cost can be cut in…

A: Given clues, Clue - 1 There were more than 24 glasses but less than 100 glasses.   Clue - 2 If the…

Q: Evaluate the value of the function: f(x) = √ax²+bx+c when a-5 b-13 c=8 and x = 12 Give your answer…

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Q: deposited in an account is compounded continuously for 6 years. What is the continuous interest…

A: Given query is to find the interest rate.