The number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation N= - 2.8x + 70.1x + 1899, where x is the number of years since 2000. In 2012, the number of incarcerated adults peaked. How many adults were incarcerated in that year? incarcerated adults in 2012. There were

Q: Solve by graphing (x+ 3)°(x+ 1)(x – 2)²(x- 4) 2 0. Express your final answer on a number line.

A: Here we have to solve by graphing x+33(x+1)(x-2)2(x-4)≥0

Q: How do I translate the sum of x and twice y is -2 into an equation?

A: To translate the sum of x and twice y is -2 into an equation.

Q: Eliminate the arbitrary constant in the equation x = Cy2

A:

Q: Solve for x Х-1, х-3_10 =. ,Xe-2,4. х+2 х-4 3

A: Given that: x-1x+2+x-3x-4=103

Q: Solve for x. 75° 11x- 2

A:

Q: Can 5 be the solution for x in the equation 5x- 2 = 23 ? How do you know?

A:

Q: A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less…

A: Suppose that the number of red marbles is x. Given that the number of white marbles is six less than…

Q: Solve for x  5x-75 = 0

A: Simplify equations and get value of x,

Q: The sum of two consecutive integers is -133. what are the two integers

A: let one integer be x and other will be x+1

Q: The average bowling score of the 5-member in Regional High School bowling team is 128. If all the…

A: We have to find

Q: Fahd's age is now twice the age of Faisal. If Fahd's age 6 years ago is equal to four times Faisal's…

A:

Q: Solve (x² – 75) – 17 = 73, then enter the value of one of your - solutions below.

A: Given: 35x2-75-17=73 To find: Solution

Q: Explain why the equation 2^x = −2 has no solution.

A: Given equation is,

Q: Solve. X-X-192x-4

A:

Q: Willy Wonka realized that at a price of 9 dollars for every chocolate bar, 550 pieces of chocolate…

A:

Q: y = 2x - x; 0sxS2

A:

Q: The sum of three consecutive even integers is -294.what is the largest integer?

A: Since, sum of three consecutive even integers is -294, Then our aim is to tell the largest integer.

Q: Solve for the value of x. (4x) (5х- 15)° (10x- 30)°

A:

Q: Solve. 1253x-4 254x+2 X =

A: To solve for x:1253x-4=254x+2

Q: A paddleboard can travel 80 feet downstream in the same time it takes to travel 40 feet upstream. If…

A: To find the speed of the current.

Q: Solve :x? +2x-8 + x -2=0

A:

Q: Solve the equation x2-2ax-(4b2-a2)=0

A:

Q: What is the solution of the equation 2x + 13 – 5 =x

A: Given 2x+13-5=xAdd 5 on both side2x+13=x+5Squaring on both side2x+13=(x+5)2 2x+13=x2+10x+25Subtarct…

Q: Consider -x = 3 4. Which is the solution?

A: The variable of an algebraic equation is usually denoted as x. Consider the equation: 4x=7. The…

Q: Explain how to solve x + x² = x + 1.

A:

Q: Solve x2 - 7x - 30 = 0.

A: The equation x2-7x-30=0 can be solved by factoring. To factor x2-7x-30, Split the middle term such…

Q: Solve for x. (3x - 63) A - C. (2x + 2)

A: We have to find x

Q: A house purchased for $125,000 is expected to appreciate according to the formula y=7,500x+125,000,…

A:

Q: Solve for x^2 - 7x = -13

A: Given: x2-7x=-13 That is x2-7x+13=0 Recall: For a quadratic equation ax2+b7x+c=0 x=-b±b2-4ac2a

Q: Explain how you would solve the equation |2x - 3| = 0.

A: We have to solve the equation: 2x-3=0 We know for modulus function, fx=fx  fx≥0-fx  fx<0 and if…

Q: The sum of three consecutive even integers is -90.What is the smallest integer?

A: Given that The sum of three consecutive even integers is -90 To find The smallest integer

Q: A number b minus 4.2 is less than -7.5.

A:

Q: In their last game, the Cowboys scored IC less than three times the number of points that the Giants…

A: It is an important part of statistics. It is widely used.

Q: Solve: x2 - 4x - 12 = 0

A: Given that the equation  x2 - 4x - 12 = 0   To solve  the given

Q: 2x+3 > 1 X-4

A: The given inequality,        2x+3x-4≥1

Q: Solve x4 - x3 - 20x2 = 0.

A: Given: x4 - x3 - 20x2 = 0. We can write given polynomial is in factored form as,…

Q: Solve for x 17x - 9 - 5x - 15 = 0

A: 17x - 9 - 5x - 15 = 0 is the given equation.

Q: The sum of two consecutive even integers is 26. What are the two numbers?

A: Given:

Q: Solve for r. 11x-8 10x

A:

Q: Solve the equation. 5x + 8x - 4 - V9x = 0

A:

Q: Solve on the number line: x3 +5x2-6x- 30 <0

A:

Q: A commuter train has 5 cars, each with the same number of rows. There are 4 passengers in each row,…

A: Given, In a commuter train there are 5 cars each with same number of rows. There are 4 passengers in…

Q: What is the solution to the equation 6 (5x+3) = 4500

A:

Q: Solve: x2 - x -6=0

A:

Q: -4 = ニ 200

A: To solve for x using the the given equation.

Q: "solve by making the appropriate solution" x4-2x2-8=0

A: We have to factor -8 so that sum of the factors =-2-8=-4 times 2And -4+2=-2So we write -2x^2 as…

Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.