Determine where the following function is continuous. x-1 M(x) = 4x²-81 The function is continuous on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

Q: z z tzb ₂9 + 90 2 + ₂b = ₂ ( 9 + b) (a z ८

A:

Q: At a sale this week, a sofa is being sold for $364. This is 35% discount from the original price.…

A: What is original price??

Q: g(x) = x4 − 2x3 + 5x2 − 8x + 4 Write the polynomial as the product of linear factors. g(x) = _____…

A:

Q: Use the table, along with dimensional analysis, to convert the given square unit to the square unit…

A:

Q: Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not…

A: . We have to find the term a20

Q: Complete the following table. Population Growth Rate, k Doubling Time, T 1.7% per year Country A…

A: country A: 1.7% per yearcountry B: 26 years

Q: Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

A:

Q: Anna is buying $11,000 worth of rare coins as an investment. The dealer is charging her an annual…

A:

Q: 1. Justify if the following series is convergent or divergent +∞ 1 (a) Σ n ln n n=2 +∞ √√n (b) Σ…

A: Given series:-

Q: 2. Using the formulas, show that sin(x - ), sin(x + π), and cos(x + 2 are equivalent trigonometric…

A: The given expressions, sinx-π, sinx+π and cosx+π2

Q: Determine the order of the matrix. 5 1 4 What is the order of the matrix? X

A: We have to find the order of a given matrix

Q: 9. The point (-1, 2) is reflected vertically, and shifted up 3 units.

A: We have to find the new coordinates of the given points.

Q: Find the greatest common factor and least common multiple of A, B, and C. 2 A=a².b².c.d B=b6c²d²e³…

A:

Q: Find a linear function h, given h(3) = -9 and h(-4)= 26. Then find h(5).

A:

Q: Q4: Answer (3) only : 1-1+1+²+³+{* =? (a: 41+1 b:-1 2_12+3al-4b-271, then a+b-? (a:-9 3- The…

A:

Q: x- 2. Find a vector equation of a plane that contains the line y+2 -2 and the point A(1,2,1).

A:

Q: A city's population in the year 1957 was 1,555,300 people. In 1987, the population was 1,558,300…

A: Solved below.

Q: 7. B-A 8. Nx{r Ulr is a consonant in the word statistics}

A:

Q: Complete the equation. Hint: Use the image to help break 7 x 6 up into two expressions. 7x6 6 6 6 6…

A:

Q: Write a how-many-groups word problem for 0.35 / 1.45 = ?

A: how-many-groups word problem for 0.35 / 1.45

Q: } 9. (An B)U(EnN)' 10. B'nE'nA'ON'

A:

Q: Consider the following. T is the reflection through the origin in R2: T(x, y) = (-x, -y), v = (3,…

A:

Q: (d) (i) Factorise the quadratic expression x² + 3x - 28. (ii) Use your answer to part (d) (i) to…

A:

Q: intervals

A:

Q: LAU Select the graph of the linear equation: x = 3 O O O P T 2 ry 2 2

A:

Q: Choose one value that is in the domain of both y(x) =x2 and y2 = x and that is greater than 0.…

A:

Q: Solve a real-life working example of Newton's forward interpolation method, take random 5 values for…

A:

Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

A: Given: GRATEFUL

Q: Evaluate. Write your answers as fractions. 3 0 0 JTA X

A: We have to determine the value by simplifying

Q: find the distance between the two points (9,-6)and (-191,39)

A:

Q: Use the graph of the function f shown to the right to find f(0), f(1), and f(2). CELE f(0) =

A: This question can be solved using the concept of locating points on the graph.

Q: Graph the parabola. y=x² + 4x+1 Plot five points on the parabola: the vertex, two points to the left…

A: This question is based on parabola graphing by finding it's vertex

Q: Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal…

A:

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A:

Q: x-3y+2 2-1 Determine the vector equation for the line with symmetric equations-

A:

Q: Let f(x) = 12x + 11 f-¹(x) = > Next Question

A:

Q: b) A salary of £5 240 is to be increased by 1.2%. Calculate (i) the increase, (ii) the new salary.

A: Given that the salary of £5240 is increased by 1.2% To calculate  (i) the increase  (ii) the new…

Q: Complete the equation. 20 x 25 x Stuck? Use a hint. X 2 27

A: Solve using associative property of multiplication

Q: Find the roots of the complex number: 27√3 27 2 2 i

A: Given

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

A:

Q: You own a painting whose dimensions are 10 inches by 16 inches. If you create a slide of this work…

A:

Q: Use a graphing utility to approximate (to two decimal places) any relative minima or maxima of the…

A:

Q: A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

A: Given :70% of all adults over 50 wear glasses for driving

Q: Find the 7th term in the sequence with the following definition: a₁ = 64 an = an-1

A: Given.

Q: Ahmed and Rami are finding the surface area of a cylinder with a height of 7 cm and a radius of 10…

A: Here is the solution.

Q: 13. a) Determine the average rate of change over the interval x = [1, 5] of the function y = 3x + 1.…

A: To solve the following

Q: Given the following LP, which of the following dual constraints corresponds to X1? - 3x2 Maximize…

A:

Q: A) √ + √8 -8 (√5 + √8)² 2 B) x-8 C) √x + √8 x - 64 D) (√x + √8) ² x - 64 If we perform the…

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

Q: 7. Laura borrows $5000 for 5 years at an annual simple interests rate of 5% per year. a) What is the…

A:

Q: (4x+4y -4 -2x-2y = 2

A: