Find the product for (2- 5y)(y² + 6y + 9)using the distributive property. Show your work in the sketch box. Write your answer in the math box.

Q: 1. What is the area of a triangle with vertices (2,2,0),(2,4,2) and (0,0,4)?

A: To find:  the area of the triangle Let the points be A(2,2,0) , B(2,4,2), C(0,0,4) Using vectors, we…

Q: 1) Describe how the graph f(x)=3*-1-1 will be transformed from the parent function.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Write an equation for the function graphed below 4 3 2 1- + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- 345 -5+ 7…

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Q: 7. Find an equation in standard form of the parabola passing through the points. (1, -2),(2,…

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Q: Verify the following polynomial identity by stating the second step of the distribution process?…

A: LHS=x+y+zx+y-zLHS=xx+xy+x-z+yx+yy+y-z+zx+zy+z-zLHS=xx+xy+x-z+xy+y2-yz+zx+zy+z-zLHS=x2+xy-xz+xy+y2-yz…

Q: = {(5a 7b)/a, b = R} Consider the subspace S = Then the dimension of S corresponds to?

A: Please see the below picture for detailed solution.

Q: Solve. 4 The rates for two airport shuttles are shown below. Quick Shuttle Rates for shuttle $30 for…

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Q: 2. a) Determine the degree of each relation. i) y = 5x - 2 ii) y=x² - 6x + 4 iii) y = x(x + 4) iv) y…

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Q: 2. Simplify completely. x² - 16 x²7x+12 a. b. x-3 x² - 4 x²9 x 2 d. x² 25 C. X - x-6 -5 X + ÷ x+5 x²…

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Q: 3 B A C In a 3 circle Venn Diagram, if n(A) = 68, n(B) = 88, n(C) = 71, n(AnB)= 29, n(AnC) = 32,…

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Q: 3. A 17 foot ladder is placed against a wall. If the bottom of the ladder is pushed toward the wall…

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Q: Consider the following polynomial function. f(x)=x4−3x3−7x2+9x+12f(x)=x4−3x3−7x2+9x+12 Step 3 of 4…

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Q: One of your students solves the following equation and can't figure out why she only got two…

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Q: How many solutions does this system of equations have? O Exactly one O Exactly two Infinitely many O…

A: The given system of equations is: -x+2y=6 -x+2y=0

Q: A stone is projected vertically upward from a platform that is 15ft high at a rate of 131ft/sec. Use…

A: We have given  h0=15 ft  v0=131 ft/sec Height is given as h=-16t2+v0t+h0 h=-16t2+131t+15…

Q: Question 23 Is this a function? Let X=(x, y, z, k) and Y= (1, 2, 3, 4]. h = {(x, 1), (x, 2), (x, 3),…

A: The given problem is solved below in detail.

Q: Is the relation a function?{(1,5),(1,7),(3,9),(4,11)} no Yes

A: The given ordered pairs are (1,5), (1,7), (3,9), (4,11)

Q: If f(x) = 5x and g(x) = 2x-1, what is the composition f(g(x)) ? 0.5x2-1 10x-1 5x2-5 10x-5

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Q: 10 5 TAltitude in thousands of feet 5 10 15 What is the highest altitude reached during the trip? 20…

A: in given graphx axis repersents the time in hoursy axis repersents the altitude in thousands of feet…

Q: 2(n-3)+n(2-n)=2-n2

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Q: firm is considering a one-year loan for $1,000,000. The fees are 3% of the loan amount  and the…

A: Given query is to find the interest and fees.

Q: 9) y = 5 +4 --4-3-2-1 4 3 2

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Q: 1 Factor each expression. 2z2 + z - 28 3x2 + 8x - 16 28k2 + 13k - 6

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Q: 5. The volume of a right cylinder is 144 cubic inches and its height is 4 inches. Find the total…

A: To find the total surface area of the cylinder

Q: (i) Find the Prüfer sequences for the following labelled trees. (See eClass for the graphs.) (ii)…

A: (a) The given Prufer code is of length 8, hence we have a tree with 8+2=10 vertices.

Q: deposit $2000 in an account earning 8% interest compounded continuously. How much will you have in…

A: Given query is to find the amount after 15 years.

Q: The demand, D, for a new rollerball pen is given by D=0.006p³ -0.4p² + 130p, where p is the price in…

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Q: Is this a function? Let A = {a, b, c, d) and B= {c, d, e, f, g} Let R, ((a, c) (b, d) (c. e)} no Yes

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Q: Determine whether the following statement makes sense or does not make sense, and explain the…

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Q: (3) f(x)=8 (a) Reflected about the y-axis & Shifted 2 up (c) Reflected about the x and y axes (b)…

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Q: If Zoe shot a model rocket into the air with a velocity of 120 feet per second, from a height of 4…

A: Given query is to graph the function in desmos and find the maximum height.

Q: Verify that λ, is an eigenvalue · [5 AX1 4- [5 _;][:]- = -5 A = AX₂² -5 ×2-[5][:]- = = of A and that…

A: To verify that given eigen value and eigen vector.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Given:      Length = l      width = x      height = h We are told the length is twice as long as it…

Q: Question 5 You deposit $100 each month into an account earning 2% interest compounded monthly. a)…

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Q: and

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

Q: s this a function? -3 -1. 2 4 O Yes O no 0 € 7

A: Given query is to find relationship is a function or not

Q: function h(t) = If Zoe shot a model rocket into the air with a velocity of 120 feet per second, from…

A: Given data÷ Zoe shot a rocket model into the air with a velocity of 120 feet per second from a…

Q: Listen To completely factor 4a³b5 + 12a6b48a4b3, what is the greatest common factor that will be…

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Q: Prove the identity. escx— sinx = cotx cosx Note that each Statement must be based on a Rule chosen…

A: We can prove the given question in the below steps.

Q: Find y as a function of x if y(1) = -4, y'(1) = -7. y = x²y" - 2xy' - 40y = 0,

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Q: n list HE n7 3.6.35-BE K Assume that C(x) is in dollars and x is the number of units produced and…

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Q: 6. Sketch a graph of a function f that satisfies the following conditions: of is continuous on…

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Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. -3, 4, 1-i

A: Given roots  -3,4,1-i ; Conjugate roots are in pair always There for one root is 1+I  i×i=-1

Q: 1) Write each number in simplest form, without a negative radicand. a) √√-6√√ 12 b) i 36 c)-5-√√-40

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Q: Consider the table of values that represents a continuous function which models the amount of water…

A: Domain of a function y= f(x)  is the set of all possible values of x for which f is defined .

Q: 4. Solvex² - 6x = -8 by factoring.

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not…

A: Find eigen values and eigen vectors of matrix A and then go ahead.

Q: A circular reception tent has a center pole 25 feet high and the poles along the outside are 10 feet…

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Q: 3c + 6j = 5p

A: Given query is to find the value of c.

Q: A basis for the following vector subspace corresponds to? S = {(x, y, z)=R³ / x = 20y}

A: The given subspace is: S= x,y,z∈ℝ3 / x=20y