12 Use algebra to justify why the following number tricks always work. a If you take a two-digit number and subtract the number created when you reverse its digits, you always get nine times the difference in the digits. b Show that the mean of a set containing an odd number of consecutive integers is always the middle integer in the set.

Q: Jordan is 29 years younger than Molly. 6 years ago, Molly's age was 2 times Jordan's age. How old is...

A: We can find how old is Jordan now as below.

Q: 35 out of 125 students are in the marching band. What percent of students are in the marching band?

A: Given: 35 out of 125 students are in the marching band.

Q: 125+27x3

A: Follow the procedure given below.

Q: If A and B are 4×4 matrices, det(A)=−2, det(B)=−7, then

A:

Q: 12. Use the recursive formula to find the specified term in the geometric sequence. 4, 12, 36, 108, ...

A: Using previous term,

Q: Use the graph of function g to answer these questions. a. What are the values of g(1), g(-12), and g...

A: Graph

Q: 13. x2 = 4x – 15 %3D -

A:

Q: 3 2 1 -5 -4 -3 -2 -1 1 3 -3 -5 5 4+

A: The zeroes and x intercept of the given curve is solved below.

Q: Express the number in decimal notation. 5.18x 103 O A. 51,800 O B. 518 O C. 5,180 O D. 155.4

A:

Q: 11. Solve. Round your answer to the nearest cent. Marie invested $10,000 in a savings account that p...

A: Given query is to find the amount in the account after 7 years.

Q: 2 -5 -4 -3 -2 -1 -3 -41 -5 3. 2. 3. 2:

A: First of all write the roots of given function:-x=-3,-3,0 are the rootsso factors will be

Q: Reinaldo Rueda is considering his options for the attack of the Colombian National Team and has deci...

A:

Q: write an equation for the line that passes through (-2,0) and (0,4)  y=_______________

A: To write an equation for the line that passes through (-2,0) and (0,4)

Q: If the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying...

A: the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying th...

Q: Identify the initial amount aa and the rate of decay rr (as a percent) of the exponential function y...

A: Given problem:- Identify the initial amount aa and the rate of decay r (as a percent) of the exponen...

Q: The following problem refers to a closed Leontief model. Suppose the technology matrix for a clos...

A: We have to find gross productions for the industries.  

Q: Consider the table of expressions. Factored Expression Expression 9x2 - 6x 4x2 - 1 x²– 16 Which tabl...

A: Topic = Algebra

Q: 1. Find [p]8, relative to the basis B = {p1, P2, P3} for P2 where p = 4 – 3x + x², p1 = 1, p2 = X, P...

A: Q1. p = 4 - 3x + x² = (4)p1 + (-3)p2 + (1)p3  So, [p]β = [4   -3   1] 

Q: If R(x) represents the company's revenue when selling x items and C(x) represents the company's cost...

A:

Q: The solution is (-2,-3).

A:

Q: A recipe yields 75 servings (3/4 c), and you want to adjust it to yield 75 servings (1/2 c). One of ...

A:

Q: Komplete parts a-c for ecen ouatrctic ecquchtion. parts a-c fr eaen quarlicatic equation. aufina ahe...

A:

Q: Direction: Given the figure on the left, identify the: 1.4 pairs vertical angles 2. transversal line...

A: Geometrical angles and lines

Q: to graph linear and quadratic equations? what are the techniques in graphing quadratic equations and...

A: How to graph linear and quadratic equations? what are the techniques in graphing quadratic equations...

Q: Solve the absolute value equation or indicate that the equation has no solution.   5|2x−1| = 35     ...

A: Consider  5|2x−1| = 35

Q: f(x+h)-f(x) Given the following function, determine the difference quotient, f(x) = -5x- 3

A:

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and ...

A: topic - quadratic equations

Q: Hui, Garrett, and Daniel decided to start a web design company and made investments in the ratio of ...

A:

Q: years

A: Please refer to the image below

Q: Function D gives the number of deer seen after h hunts. a. What does the expression D(10) represent?...

A:

Q: Freya has 5 different dolls. In how many ways can she keep her dolls in a line inside her doll house...

A: There are five positions and five different dolls

Q: 3 V16y5z12

A: Topic = Algebra

Q: Approximate the number of days from June 9, 2016 to January 16, 2017. A) 215 days B) 219 days c) 221...

A: To find:  Number of days from June 9,2016 to January 16,2017  

Q: A bicycle completed the first 200.0 meters of a ride in 42.5 seconds. What was the bicycle's average...

A:

Q: Randy has to repaint his child’s toy block. The block is a wooden cube that measures 11cm on each si...

A: Let's find. 

Q: I. Provide a two-column proof to the following statements. 1. Let G be a group with the property tha...

A:

Q: acteria II, and bacteria III. In the test dish, these three types of bacteria were given three types...

A:

Q: VIUXTWIJIVW3mck7HgW1Tt8PPSZgFhBN-Yx? O GRAPHS AND FUNCTIONS Transforming the graph of a function by ...

A: As we know from the graphical transformation: 1). When the graph of the function y=fx is reflected a...

Q: (a) Find the simple interest earned in 6 years when RM1,000 is invested at a rate of 10% per annum. ...

A:

Q: rectangle is drawn so the width is 14 inches longer than the height. If the rectangle's diagonal mea...

A: Topic:- geometry   

Q: Function P gives the number of pizzas eaten after h, hours at a local pizzeria. Select which stateme...

A: We have to notify the given equation or describe the given equation. 

Q: The JPC Furniture Company has an ordered for 100 of its narra chairs. The chairs can be produced in ...

A: We have to solve it by simplex method. 

Q: Convert the improper fraction into a mixed number. 27 OA. -5, O B. -4 В. O C. -3- 8. 3 D. 6- O D. 1/...

A: We can convert it into mixed fraction as below.

Q: Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of...

A: Here we will find number of Nickels and number of Dimes,

Q: 1) Given the power function: f (x) = 9x-7. Answer True or False for each statement. (Hint: Sketch a ...

A: Graph÷

Q: Use the distributive property to multiply. Then, if possible, simplify the resulting expression. 5(4...

A:

Q: Write the prime factorization of each number as a product of powers. 129 · 3615 · 1693

A: The given number,    129. 3615. 1693

Q: Let f(x)=4+3x and g (x)-x-3. Find each function value: (fg)(-1)

A: The functions are fx = 4+3x gx = x2-3 Formula Used: fgx = fx·gx To evaluate: The value of fg-1

Q: Question 23 Conversions Between US and Metric Systems Convert between the US and Metric measurements...

A: Topic:- algebra 

Q: - Let f(x) = ® + x³ + 1.

A: