Set up and solve a quadratic equation for the following application: Consider a rectangle with an area of 54 square inches. The length of the rectangle is 3 inches less than twice the width. Find the length and the width of the rectangle.

Q: Complete the table. x log7x 1         7         49                 -1         -2

A: Given query is to complete the table.

Q: 11 Ps O 53,930 O 27,720 O 55,440 O 462

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Q: Find the sum of the geometric series with a₁ = -1, r= 3, n = 9 O-8278 O-9841 O-9746 O 1/2

A: Given query is to find the sum of the geometric sequence.

Q: Your working document should include if it is a permutation or a combination and how you got the…

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Q: Frank ordered 3 times as many boxes of birthday cards as anniversary

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Q: A movie theater has a seating capacity of 287. The theater charges $5.00 for children, $7.00 for…

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Q: 12. Find the value/values of a for which the system of linear equation below has infinitely many…

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Q: 8) F(s)=³-ks² 2 Ans. f(1) =2(e"-1)-! k

A: Solve the following

Q: (a) Complete the table below so that the function f(æ) is EVEN. (f(z) should be defined for all…

A: A) when function is even then f(-x)=f(x) Given f(-3)=-3,f(-1)=2,f(2)=8 So f(-3)=f(3)=-3 f(-1)=f(1)=2…

Q: b) (i) Show that the differential operator D: P3(R) →P2(R) defined by D(p(x)) =p'(x) is Linear. %3D…

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Q: A. State the slope of the line as an integer or reduced fraction: B. State the y-intercept of the…

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Q: D. Logarithmic on both sides. In(3x+8) = In(2x + 2) + In(x – 2) %3D 7.

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Q: 4. {4, 16, 9, 4, 2, 4, 1, 4, 16, 9, 4, 2, 4, 1}

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Q: Given that A and B are n×n matrices such that det(A) = 2 and det(B) = −3, find det(A−1BT) ).

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Q: A candidate has budgeted $10,800 to spend on radio and television advertising. A radio ad costs $216…

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Q: Q3. A market has the following supply and demand functions of a goo Identify the row with the…

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Q: Evaluate each infinite geometric series described. 33 3 + 20 40 10 5 +

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Q: Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how…

A: topic- linear equations

Q: THIS Suppose that the total profit in hundreds of dollars trom seling x tems is given by Po=2-4+7.…

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Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or…

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Q: solve the polynomial for all roots: f(x)=x3-4x2-5x+20

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Q: he equation for the line shown on the right. t is the equation for the line shown on the right? h +…

A: The equation of line parallel to y axis is of the form x = a a is point on x axis.

Q: Find the center and radius of the circle represented by the equation below. x² + y² + 2x + 4y - 20 =…

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Q: Which type of study is best to use to determine the favorite TV show on a Monday night?…

A: We have to find the type of study

Q: 45. student deposits $1000 in a savings account that pays interest at the rate of 6% per year,…

A: We need to find accumulated amount.

Q: a. (4.2 + j6.8) + (7.6+ j0.2) b. (142 + j7)+ (9.8 + j42) + (0.1 +j0.9) c. (4 x 10°+j76) + (7.2 ×…

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Q: which categories are populations the highest for both males and femal Ages 5-9 Ages 25-29 Ages 30-34…

A: Given query is to find the catagory for which population of male and female are High.

Q: 4. Use the binomial theorem to expand the following expressions. a. (x + 2y)* b. (2x – 1)5

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Q: A bank loaned out $18,500, part of it at the rate of 6% annual interest, and the rest at 15% annual…

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Q: olve by elimination (please show work) 4x-4y-3z=15 8x+4y-6z=-18 -16x+4y+2z=-42

A: 4x-4y-3z=15 .........(1) 8x+4y-6z=-18 ..........(2) -16x+4y+2z=-42.........(3)   multiply equation…

Q: Determine whether the following table is a direct variation, inverse variation, or neither. Then…

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Q: .ll Metro by T-Mobile ? 5:33 PM © 37% Share... Add to Photos Сopy Aiden proposes, that the produçt…

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Q: Evaluate 25 C25

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Q: Which of the following inequalities represents the graph shown be 1 Your answer: y> - 2x +2

A: We have to find inequality

Q: Find a basis for the given subspace of R°, and state its dimension for the plane 2 x - 4 y+ 5 z = 0.…

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Q: Y2 Y1 X2 - X, HA

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Q: Graph the Piecewise Function. 3x-2, if s 1 f(x) = x+2, if x> 1 Click this Coordinate Plane to draw…

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Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

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Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

Q: 25. Let A = If g(x) = x² – 25. Find all numbers i for which A is a root of the polynomials. A. -5…

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Q: Write the first five terms of each sequence. Determine whether each sequence is arithmetic,…

A: 1.a(1)=5,a(n)=a(n-1)+3 for n≥2 now a(2)=a(1)+3=5+3=8         a(3)=a(2)+3=8+3=11…

Q: 5. A class of 22 students has exam late, and scores 92. to the nearest hundredth.

A: To find the new mean.

Q: Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear…

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Q: The length of a rectangular driveway is five feet more than three times the width. The area of the…

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Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

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Q: In 2009, a tree was 10 feet tall. In 2012, the tree was 16 feet tall. Construct a linear model that…

A: let horizontal coordinate be "t" anf vertical be height "h"In 2009, t =3 yrs, h=10ftrepresented as…

Q: C. Logarithmic on one side log, x+ log, (x– 3) = 2 | 6.

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Q: Determine the x- and y-intercepts on the graph of the equation. 1) y = 7x+3 7 A) x-intercept is…

A: Given equation is y=7x+3we know that x-intercept is where a line crosses x-axis and y-intercept is…

Q: Which one of these is equivalent to 4s  2s+(6s/2) 2s^2/s 1/2(2s+6s)

A: 2s+(6s/2) we know that 6 divides 2 is 3 (6/2 = 3) 2s+(6s/2) = 2s +3s =5s     2s^2/s we know that  s2…