Directions: Solve the given problem involving quadratic inequalities and then answer the guide questions. PROBLEM. The length of a rectangular parking lot is 3 meters less than 3 times the width. If the area is more than 90 m2, find the possible dimensions of the parking lot?

Q: 10 3 2-25 X + 5 X - 5

A:

Q: ons represent positive real numbers. 2y (9x + 2)* Dlog O 5x olo

A:

Q: 3 9. A tabletop is in the shape of a regular octagon (eight sides). What is the greatest distance…

A:

Q: Use Synthetic division to divide f(x)= x3 - 9x2 + 20x - 12 by x-1. Use the result to find all zeros…

A: f(x)= x3 - 9x2 + 20x - 12 its one solution is given x =1 using synthetic division    1 [ 1  -9  20…

Q: Foctor Completely. H the plynomialis nut fucorabe, write prime. Lon - lln-2

A: A detailed solution is given below

Q: Find the quotient and remainder using long division or synthetic division. 23 + 2x? 19х — 15 x + 5…

A: Use long division to get the quotient and remainder

Q: 28+76

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

A: Given problem:- Write the logarithm as a sum or difference of logarithms. Simplify each term as much…

Q: Use log, 20.401, log, 30.565, and log, 50.842 to approximate the value of the given logarithm to 3…

A: Given,

Q: Consider the graph of the function f(x)=(x^2−4 )/ (x^2−12x+20.) Find the x-value of the removable…

A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

Q: graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the…

A: Given query is to find the equation of the transformed graph.

Q: b. 9x4 – 42x3 = 32x – 64x?

A: The given question has been solved in detail

Q: 15. A bucket contains 425 ml of water. The capacity of water in the bucket increases 4.8% each hour.…

A: Percentage

Q: Determine whether the function is a polynomial function. If it​ is, identify the degree.…

A:

Q: 5. Work Rate An office contains two printers. Machine B is known to take 3 minutes longer than…

A: Let Machine A takes x minutes then B takes 3minutes loger than A, so it will take x+3 minutes

Q: Consider the functio f(x) 1 & g(x) = %3D %3D x +1 a. Find (f ° g)(x).

A: a) f∘g(x)=f(g(x))=f1x=1x1x+1=1x1+xx=11+x,   x≠0 (f∘g)(x)=11+x , where x≠0(f∘g)(x)=11+x

Q: For #7-9, find the equation of the conic. You do not need to graph. 7. Ellipse: V, (4,–6), V½(4,2),…

A: we know that equation of ellipse is of the form, (x-h)2a2+(y-k)2b2=1 Given,…

Q: 3 -) and (1,12) 16 Find the exponential equation whose graph passes through the points (-2, y =

A:

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

Q: ladder is leaning against a wall. If the angle between the ground and the ladder is 60° and the…

A: Given query is to find the height of the wall.

Q: W 240 μΑ 2 L 200 µA 0.18 тах 2.4 0.18

A:

Q: 3 V64 а. V V6561 4 b.

A: As we know from the radical rule: ann=a ; a≥0   Given: (a). 643

Q: Find all the eigenvalues (real and complex) of the matrix 7 1 -6 M = | 12 5 -12 12 4 -11 The…

A: We can solve the given problem as follows:

Q: 10. Given the function: f(x) = (x+1)2(x-5)(x - 3)3 Construct a sign diagram to determine the…

A:

Q: 5 Select the correct answer. What is 7 equal to? OA 7x5 O B. 5x5x5 x 5x 5 x5x5 C. 7x7x7x 7x7 O D. 57

A:

Q: 3. 40% of the marbles in a bag are yellow. The rest are orange and green. The ratio of the number of…

A: Since, you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: C) = ("; ')-(,",) n Q1. Show that : r

A: R.H.S;=n+1r-nr-1=(n+1)!r! (n+1-r)!-n!(r-1)! (n-r+1)!=1 (n+1-r)!(n+1) n!r(r-1)!-n!(r-1)!=n!…

Q: g(x) = 4x² – 3x + 7 %3D Find g(3)

A: SOLUTION-

Q: Explain how the graph of g is obtained from the graph of f. f(x) =x², g(x)=x² +2

A:

Q: The black graph is the graph of y = f(x). Choose the equation for the red graph. a. y= f(2x) %3D b.…

A: Graph of the function f(x) is given, we have to find the equation of the red graph.

Q: Select all of the following tables which represent y as a function of x. -5 -3 -2 -1 -4 -5 -1 2 1 2…

A:

Q: Find the determinant of the matrix, a b. C 2d +a 2e+b 2f+c h i where a e = 7. h 21 14 7 35

A:

Q: Suppose the probability that it will rain tomorrow is 0.28. What is the probability that it will not…

A:

Q: use direct &ubmission to evaluate the following limit lim lne 3x

A:

Q: What function has an acutal rational zero of 7? A.) g(x)=x^3-4x^2-36x+28 B.) g(x)= x^3-4x^2-26x+35…

A:

Q: Q.6 Convert the following sentence to conjunctive normal form (CNF). (A=B) =C (Hint: Study…

A:

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A:

Q: 6 8 1 8

A: Follow the rules.

Q: Create the exponential function in the form f (x) = a(b)t that fits the two data points given: (0,…

A:

Q: Drag each tile to the correct box. Using the order of operations, what are the steps for solving…

A: Solution is given below:

Q: 5 [h -21 Let a = 5 , a2 = and ag = -9 3 -4 The set {a1, a2, az } will span R° unless h = If there…

A:

Q: Solve 1. (x+4)(x+2)(x-3)≤0 2. (x+3)2 (x-1)2 > 0

A: 1. (x+4)(x+2)(x-3)≤0 (x+4)(x+2)(x-3) = 0 x +4 = 0       or    x+2 = 0         or x-3 =0 x= -4…

Q: Evaluate the expression. C(9, 6) ·C(8, 3)

A: We have to find the value

Q: 2. Simplify (including rationalizing the denominator) in the following: m32n25 a) p20q18 x12y50 b)…

A: We can rationalize the denominator by multiplying the numerator and the denominator by appropriate…

Q: A rental car company charges $45$45 plus 3030 cents per each mile driven. Part1. Which of the…

A:

Q: A dog trainer has 100 meters of chain link fence. She wants to enclose a total of 250 square meters…

A: This question can be solved using the concept of perimeter and area of rectangle.

Q: An issue of a magazine contained the following statement Dropping less than two inches per mile…

A:

Q: 14. Solve the system of inequalities by graphing the equations and shading the appropriate region.…

A:

Q: Find the explicit formula. -5, 2, 9, 16, . An = 3+ 6n O an = -5+ 7n O an = 2 + 7n an = -12 + 7n

A: The given sequence,  -5, 2, 9, 16,......