Define f(x) = 4x - 3 x² + 1 - e-x. a) Evaluate f(0.9) and f(1.0) correct to 2 decimal places. f(0.9) = f(1.0) =

Q: 4. Solve the following system of equations graphically, using substitution, and by elimination.…

A: First we need to make a table of values from equation÷ For, 3+2x-y=0 x 0 -1.5 1 -1 y 3 0 5 1…

Q: Solve the system by graphing. y = -x-1 x-3y=3 O (0, -1) O This system has infinitely many solutions.…

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Q: Solve: 18x² + 12x = -23

A: Given Quadratic Equation 18x2 + 12x = -23

Q: 5.7 Driving Data 1. Ray is planning a 425-mile trip to a math teachers' conference in Las Vegas. He…

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Q: 1. Assume sin(0) = 3 where <<, and cos() = -23 where <ø<³T. Use the appropriate sum or difference…

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Q: 4. Given 0 ≤ 0 <2, solve 2 tan 0 + sin 0 cos 0 = 0. 0 1,34 23 2 0, ㅠ Oㅠ O ㅇ 플

A: To solve the 2 tan(theta)+ sin cos (theta) = 0.  0to 2i

Q: Identify the factor pairs of ac you could use to rewrite b to factor the trinomial by grouping 12x²…

A: Given 12x² + 11x + 2

Q: Use the given zero to find the remaining zeros of the function. h(x)=x²-9x³+15x² +93x-700 zero: 3 -…

A:

Q: For the real-valued functions g(x)=x²+1 and h(x)=(x-6, find the composition g h and specify its…

A: gx=x2+1     hx=x-6    (g°h)(x)=g(h(x)=g(x-6)=(x-6)2+1=x-6+1=x-5

Q: Write a quadratic function to represent the values in each table. X -1 0 1 2 3 y 13 3 -3 -5 -3

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Q: compute the amount of interest on $900 borrowed at 6% p.a. from feb 21,2022 untill may 30,2022

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Q: Given the equation (x² − 4y¹)(x³yzm − 1) = 0, where 0 < n ≤ 3, and 0 <m ≤ 5 What is the highest…

A: (x2-4yn)(x3yzm-1)=0, where 0&lt;n≤3, and 0&lt;m≤5

Q: Given the function g(n) = (n − 4)(n+3) (n − 6) its g-intercept is its n-intercepts are (0,72) X

A: Given, g(n) = (n - 4)(n + 3)(n - 6)

Q: Determine the value of the constant k, such that 4 2dx = 1.90038. 8 k 21-1 Give your answer correct…

A: Given :∫k842x-1dx = 1.90038 To find: The value of k

Q: Find the inverse of the matrix, if it exists. Use the algorithm for finding A1 by row reducing [A…

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) g(x) =…

A: gx=3-x3+x

Q: Given the area of each square, factor to find the side length. Area = 36x² + 120x + 100

A: Given data A=36x2+120x+100

Q: Three players (Ady, Brenden, and Cara) are sharing a pie. Suppose that the pie is divided into three…

A: s1 s2 s3 Ady 5.50 4.5 5.75 Brenden 4.5 4.25 6.75 Cara 4.00 5.00 4.75

Q: 25. -8 CA 7 -5

A:

Q: 3. Cybil is driving on the highway at the legal speed limit of 55 mph. She sees a police roadblock…

A: Driving speed of Cybil, v=55 mphRoadblock distance, s=190 ft

Q: Write the system of equations as an augmented matrix (5x -1 -X -3 5x - 6z 2z

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Q: A pottery studio gives two-hour and four-hour ceramics classes for $46 an hour. If the studio has…

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Q: Calculate the distance between the points H=(-2, -1) and K=(2, 2) in the coordinate plane. Give an…

A: Two points H(-2,-1) and K(2,2)

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: Factor completely: -3x3 + 18x2 -27x

A: We need to factor the polynomial.

Q: Simplify the expression tan (2 cos ¹(x/4))

A: tan[2cos-1(x/4)].

Q: dentify the factor pairs of ac you could use to rewrite b to factor the trinomial by grouping 8x² -…

A: given function is f(x)=8x2-2x-1 standard form is f(x)=ax2+bx+c by comparing a=8,b=-2 and c=-1

Q: Two numbers are taken at random from the five natural numbers 5, 6, 7, y, and z which are not must…

A: Given,Two numbers are taken at random from the five natural numbers 5, 6, 7, y, and z which are not…

Q: Suppose that $19,422 is invested at an interest rate of 5.3% per year, compounded continuously. a)…

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Q: og x(x + 5) [(x+7)] x(x + 5) _(x + 7) 6 11 x X>0 (Simplify your answer.)

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Q: Graph the rational function. f(x) = 12 2 x + 8x + 12

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Q: Solve for "x". 7 5 x + 3 +11 14 9

A: Given: 7x+3+511=149 We are required to: Find the value of x.

Q: A 6 foot tall person casts a shadow that is 5 ft long. A nearby tree casts a shadow that is 15 ft…

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Q: Assume sin(0) = -2 where 3 <0<. Compute sin(). The angle is in quadrant Thus, cos(0) The angle is in…

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Q: The table to the right shows selected ages of licensed drivers in one country and the corresponding…

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Q: A quadratic function has its vertex at the point (10,-4). The function passes through the point…

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Q: X 2 0 7 1 [3 1 7 0 4 ?

A: We know that the characteristic equation general formula |A-lamda I|=0

Q: 25. If one mechanic takes twice as long as another to complete the same task and if it takes them 6…

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Q: A line passes through the point (-3, -8) and has a slope of 5. Write an equation in slope-intercept…

A: A line passes through the point -3, -8 and has a slope of 5. To write an equation of the line in…

Q: 1 Suppose that $79,000 is invested at 3% interest, compounded quarterly. a) Find the function for…

A: Principal amount , P = $ 79,000 Rate of interest, r  = 7/2 %  ; which is compounded quarterly

Q: 1. The function (x), which is is graphed below and the function g(x) = 2x +41-3 are given. h(x) Drag…

A: gx=2x+4-3 Graph of h(x)

Q: (a) Solve the recurrence Bn = 6Bn-1 - 8Bn-2, with initial conditions Bo = 3, B₁ = 10. You need to…

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Q: ve for x to the nearest tenth. nswer: ≈ 6 x 7 10 Submit Answer

A: We know that the Pythagoras theorem fir a triangle is  (Hypotenuse)^2=(height)^2+(base)^2

Q: Write the equation of the conic section shown below. -10-9-8 10 9 8 7 6 5 сл 4 3 10 a 6 y -6 -8 3 4…

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Q: Find the domain of the function. (Enter your answer using interval notation. g(x) = 5x² + 4x - 1

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Q: 9. Solve the inequality x²(3+x)(x+4) (x+5)(x-1) ≤0 algebraically and graph the solution set.

A: As per our company guidelines we are supposed to solve first question in different questions so…

Q: 8x-5)/(2x+1) use polynomial long division to divide.

A:

Q: Amy’s rectangular garden is 48 square feet. The length of the garden is 2 feet less than its width.…

A: Amy’s rectangular garden is 48 square feet. The length of the garden is 2 feet…

Q: Your calculation for a2 is not correct: a2 = 1 + 10(1-0) = 1 + 10 = 11   not 2.

A: The sequesce is 1,2,12,56,272,...

Q: Identify the factor pairs of ac you could use to rewrite b to factor the trinomial by grouping 7x² +…

A: Identify the factor pairs of ac you could use to rewrite b to factor the trinomial by grouping 7x² +…