Last edit was 5 days ago 三三三三三 三▼m,EEx BIUA 14 2 4. EI II1E - 3log, (4- 2x) +1 8. Given f(x): a) Determine the following information; show your calculations. !! f(x) = 3log, (4- 2x) + 1 Domain Range x-intercept y-intercept asymptote

Q: The height of a triangle is v15 in and its base is v21 in. What is its area? The distance between…

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Q: 32, 22, 12, 2, . Find a28 =-248 O a23 = -238 a23 = -221 O a28 = -275

A: 32,22,12,2 ......a1=32 , a2=22 , a3=12d= a2-a1 =22-32d=-10nth Term be given as an=a1 +(n-1) dn=28

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Q: ction f(x) = x + 8x- 6 Express the quadratic function in vertex form (f(x) = a(x – h)² + k).

A: We can express it in vertex form as below.

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Q: Solve the equation. Give your answer correct to 3 decimal places. ln(x) − ln(2) = 10

A: Given, ln(x)-ln(2)=10 Rearranging the terms we have, ln(x)= 10+ln(2)

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A: We can answer the question as below.

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A: We have to factorise the given polynomial

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A: f(x)=-1x-4function is not defined at x=4.Vertical asymptote: x=4Horizontal asymptote:limx→∞- -1∞…

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A: Topic = Functions The function is not a polynomial function.

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Q: Question 7 Find the determinant of the matrix 6. 3 2 4 0 9 -4 1 8 -5 6. 7 1 3 0 0 4 3 2 0 A) 9 B 5…

A: This question is based on determinant calculation.

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Q: 1. Simplify: a) v27V3 b) Vm7Vm³ c) VnVn8

A: a)  273=3×3×33              =3×3 273=9   b)  m7m5=m×m×m×m×m×m×mm×m×m×m×m…

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A: Since we know that all the orthogonal matrices are invertible         ...........(1) And given that…

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A: $10,000 is invested for t years at 6% interest compounded continuously.

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Q: 25 -2 6. 0. -4 6. 9. -1 8 -6 3 9 7 10 -7 -8 10 1 -4 16. Write the augmented matrix for the system.…

A: Solve

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Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: 4) Consider an investment of $6000 that earns 4.5% interest. A) Write an equation to describe the…

A: We have to find the equation, final amount and time.

Q: Question 12 The value of x, for x + 7, За+5 and 3x+1 that makes the two rational expressions equal…

A: We can find x by cross multiplying the terms.

Q: Question 1 Find the determinant of the matrix 1 3 2 1 1 4 А) 15 в) -15 c) -20 D 20 5I2

A: Find the determinant of matrix

Q: 2, -8, 32, -128 O an = a-1 · 4 a1 = O an = an-1:-4 a1 = - %3D O an = an-1 ·–4 aj = 2 O an = an-1:4…

A: Follow next step

Q: Evaluate: 4 (3m – 10) = O 3695 O 3710 O 1855 O 3703

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A: We have to perform synthetic division when  2x3-8x2-1 is divided by x-4. And find out the quotient…

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Q: 1 on the number line below. 6. Plot the numbers -2 and 1- -3 -2 -1 1 2. 1/3

A: We need to plot given no. on the number line.

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A: In this question we have to construct two parallel line through the given points.

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Q: Determine the solution of the linear inequality below. 7- 5x 2 11- 3x A [-2, 00 ) B (- 0, - 2] (-…

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Q: If pp and qq vary inversely and pp is 9 when qq is 16, determine qq when pp is

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Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: Consider an exponential function, y=Aebx                       ...(1) Where A and b are constants.…