Define the following: 1) Rational Equation 2) Rational Inequality Rational Function 3. Determine whether the given is a rational function, rational equation, rational inequality OR none of these. 1 3. 1+X X-2 5XZ (x) 1 - 2 2x-1 2 = x²-7 x-12

Q: 7. The knitting club sold 33 scarves and 37 hats at a winter festival and made $560 from the sales.…

A:

Q: The parent function y = x² is transformed, and the graph of the transformation is shown below. Which…

A:

Q: Write the slope-intercept form of the equation of each line given the slope and v-intercept.diguord…

A:

Q: 1. Which real world situation best represents - -14 0 A pool has 71 gallons of water and is filling…

A: The given equation is 71=78-0.5x We have to find the best representation of real world situation.

Q: x-1, if x ≤-2 f(x)=2x-1, if -2 4

A:

Q: Write the point-slope form of the line satisfying the given conditions. Then use the point-slope…

A:

Q: A carpenter wants to cut a 15 foot board into two pieces so that one piece is 2 times as long as the…

A: Given length of board15 foot, Aim :A carpenter wants to cut that board into two pieces so that one…

Q: Select the following equations that are true. 1+1/2+ +3+...+ -2-10 1024 012 +22+32 +4² +...+100² =…

A:

Q: √3+√75= √3+√√25.3=

A: Solve the given

Q: If the second of three consecutive integers is subtracted from 108, the results is the sum of the…

A: We have given three consecutive integers  Let,  Three consecutive  integers  : x,x+1,x+2 If second…

Q: 4 Graph y = - + 8. ←+++ 7- 8- F-9-9-1-8-6- da 00 ∞ LO + 00 9 3 No af Un TI DE L Y # 682997 & 7 I AC

A:

Q: (b) A light source emanates from the origin of R³ and hits an opaque triangle with vertices at…

A:

Q: Given the following Linear equation 5x - 3y = -7 calculate: a) the x intercept b) the  y…

A: Since, we have been given up the linear equation 5x-3y=-7Our Aim is to calculate:-(a) the x…

Q: Use the given feasible region determined by the constraint inequalities to find the maximum and…

A:

Q: If $740 is borrowed for 230 days at 7.55% simple annual interest, how much will be repaid at the end…

A:

Q: If there are an infinte number of solutions to the system 3x + 6y = h 5x + ky = -1 then k = Submit…

A: The two lines are parallel if and only if the ratio of their coefficients are equal.

Q: Use the zero exponent rule to simplify. All variables are nonzero. 2xyº 2xy = www

A: The objective of the question is simplying the given equation.

Q: On three examinations, a student received scores of 77, 85, and 75.  What score will the student…

A: On three examinations, a student received scores of 77,85 and 75. We have to find the score will the…

Q: Write ( − x) · ( − x) · ( − x) · y · y · y · y in exponential form +00EY BE POSS

A:

Q: 2. Determine the unknown term in the following pattern and write a conjecture that explains the…

A: We have given a pattern Let, unknown term =x 15,45,135,x,1215,3645 first term(a1)=15 second…

Q: Find a unit vector in the direction in which f(x, y) = cos(5x - 7y) π π decreases most rapidly at P…

A:

Q: K Use the negative exponent rules to simplify. - 8x-2 - 8x = ... (Simplify your answer. Use positive…

A:

Q: Given that -11- vrite 2 as a linear combination of the vectors 1 -0 + + 3 2 ALD -1 1 -2 3 2 - -1 2 1…

A: Given  it is solution of augmented matrix

Q: A = 0 0 10 0 det A = Ex: 5 -4 0 -5 -3 8 5 3 -11 -2 4 -8 7

A:

Q: Consider the following system of linear equations: 2x7+4x2-2x3 = 10 2x7+5x2+x3 = 20 -x7-4x2-4x3 =…

A:

Q: Evaluate the piecewise function below in questions a and b. (12x + 71, 1+x², f(x) = 6, 1 =x+8, 3x a)…

A:

Q: Let f(x)=3x-2 and g(x)=x^2+5. Find (gof)(x)

A: Here is the solution:

Q: gram of meat byproducts provi An animal food must provide 54 units Vitamins and per serving. One…

A: Minimize C=8X+9Y+10Z subjected to 2.5X+4.5Y+5Z≥54                  5X+3Y+10Z≥59…

Q: A = 12 34 O A. Find A-1 A = 3 2 A = - 2 1 OB. Does not exist O C. O D. A = 3 44] 2 2 -1 -2 -3 -4

A: Find the adjoint of matrix A and divide that with the determinant of matrix A

Q: In Exercises 17-24, evaluate f(a), ƒ(a + 1), and ƒ(¹). 18. f(x)=2x-1 19. 17. f(x) = 4x + 3 21. f(x)…

A:

Q: Find the value(s) of x for which the matrix has linearly independent columns. 7 -4 -7 - 3 4 x -3 -8…

A:

Q: If movements allowed are only right and down, how many distinct oaths are there from a to b? A

A: To reach B from A he has to take 4 right steps and 5 downward steps no matter what he takes first .…

Q: Alo and Katie have a new grandson. How much money should they invest now so that he will have…

A: We need to find out the principal amount that they should invest to get the $41000 amount after 18…

Q: Question 495: 6(3y−1)−(5y−3)

A:

Q: Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​…

A: Given that slope = 2, point = 5,4 We need to find the following form of equation point slope form…

Q: Consider the logarithm. In (Vee7/5) Identify all the values equivalent to the given logarithm.

A:

Q: The height of a triangle is 5cm more than half the base of the triangle. The area of the triangle is…

A:

Q: Which equation matches the graph shown below. 20 3 2 F X

A: Given :

Q: Factorize : a) 10x2 - 3x - 4 = 0 b) 10x2 - 3x - 4

A: Given query is to factor the expression.

Q: Question 3 In (x+9) + In 6 = 6. The solution is: O A. 8 OB. e6+54 6 OC. e6-54 6 O D.-8

A: lnx+9+ln6=6

Q: Find the x-intercepts and describe the behavior of the graph of the polynomial function at the…

A: On solving this we will get

Q: Find the slope of each line. 1) T A ** I

A: To find the slope of the given line.  From the given figure , we have to calculate points , from…

Q: A 90-meter path surrounds a rectangular garden. The width of the garden is two-thirds it’s length.…

A: We have to determine the area of rectangular

Q: x + 4z = 7 y-2z = 3 z = -5 The system has: O A. No solution O B. Exactly one ordered triple solution…

A: To solve the given system of equations.

Q: person

A: Please refer to the image below

Q: rite the slope-intercept form 9) through: (0, 3) and (-3,2)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. If G is a group such that for any a € G, a abelian. = a. Prove G must be

A:

Q: Art B Use complete sentences to explain the process you would use to find the volume of the shipping…

A:

Q: 1 cu ft = 7.48 gallons How much water will a rectangular tank 8' by 4' hold if it is filled to a…

A: See this solution in below.

Q: Write the decimal as a fraction. 0.83 = F 10 x 0.83 = F x 10 8.33= [?]F

A: Multiply by 10 on both side,