2. Consider the following system of rational equations 2r2 – 10r – 48 24(r – 3) f(r) = g(r) : 6r 36r

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} , ...

A: Definition used -               The intersection of two sets - Intersection of two sets contains com...

Q: identify each graph as (a) the graph of a one-to-one function or (b) the graph of a function that is...

A: A function gives one output for one input . An equation is a function if it has only one answer for ...

Q: write each of the following in terms of i, perform the indicated operations, and simplify. For examp...

A: To simplify: -246

Q: Sketch the graph of f.

A: GIVENf(x)=(4x-1)(x-2)(2x+3)(x-2)we need to sketch the graph

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x3 + 4x2 - 2x + 1,  c = 2...

A: Use the synthetic division to divide 3x3+4x2-2x+1 by 3x-2. 3  4  -2    13  6     2   2.33323

Q: Graph the following features: • Slope = - • Y-intercept = 1 %3D 10 8. 6. 3 2 -8 -7 -6 -3 -1 1 2. 3 6...

A: Our objective is to find the solution. 

Q: How is this solved ?

A: I have given an answer in step 2.

Q: the stem and leaf plot best represents which set of data?

A:

Q: (a) Find a single matrix that defines a rotation of the plane through an angle of -(π/4) about the o...

A: We have to find a single matrix that defines a rotation of the plane through an angle of -(π/4) abou...

Q: Let f be the linear function f(xr) = -5x + 7. (a) The rate of change of f is (b) The graph of f is a...

A:

Q: The graph of a function f is given. Sketch the graphs of the following transformations of f.

A: " Since you have posted a question with multiple sub-parts , we will solve first three sub - parts f...

Q: A salesperson is given a choice of two salary plans. Plan 1 is a weekly salary of $600 plus 6% commi...

A:

Q: Graph: 4x – 5y 2 20.

A: Given: 4x-5y ≥20 To graph: The given equation.

Q: All the real zeros of the given polynomial are integers. Find the zeros, and write the polynomial in...

A: To find zeroes of polynomialP(x)=x4-2x3-3x2+8x-4 

Q: Tammy is making chili for lunch. She starts with 2 cups of meat in her pot. • She adds cups of stock...

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Q: which of the follwoing steam and leaf plot best represents the data?

A:

Q: Graph the following features: • Slope = - • Y-intercept = 2 3 %3D %3D 10 6. 8. 7. 6. 4 3 -10 -9 -8 -...

A:

Q: 5. Sketch the graph of the following rational function. 2x – 1 f(x) x² + 2x – 3 Part A: y -intercept...

A: In the question it is asked to draw the graph and mark points in it.

Q: At point K on the Unit Circle, cos 0 = -0.65 Find tan 0 to the nearest hundredth. y K

A: Solution

Q: If x varies directly as​ y, and x=24 when y=4​, find x when y=10.

A: Given ,  x varies directly as​ y x=ky

Q: Describe the transformations of the basic function y = 1/x and identify the horizontal and vertical ...

A: Asymptote is a line which meet the curve at infinite 

Q: Answer 9 please

A: Given-              -1.2x= -9.6

Q: Find the LCM of the given polynomial. x2 + 4x + 4,  x3 + 2x2 , (x + 2) 3

A:

Q: Determine the number of ways to perform the task described. Three players are to be selected from a ...

A:

Q: Can you help me with these questions please

A:

Q: I am stuck on this question.

A:

Q: change each radical to simplest radical form. √5/√12

A:   Given :           The radical 512   To change the given radical to simplest radical form.

Q: Find the volume V and surface area S of a sphere of radius 3 feet.

A: Given Radius = 3 feet

Q: Velocity of a Car A driver's distance D in miles from a rest stop after x hours is given by D(x) = 7...

A: The distance D in miles from a rest stop after x hours is given as, Dx=75x a. To find the distance f...

Q: Find the inverse of f (x) = 4x2for x >= 0.

A: The given function is, fx=4x2 To find the inverse of the function we solve the equation of the funct...

Q: solve each equation. 5/(n - 3) - 3/(n + 3) = 1

A: The given equation is, 5n-3-3n+3=1 On simplifying the given equation, we get 5n-3-3n+3=15n+3-3n-3n-3...

Q: Identify the slope and y-intercept of the function y = 3x – 6. O A. The slope is 6. The y-intercept ...

A: In the question it is asked to calculate slope and y intercept of the question given.

Q: Which function represents the graph of y=3(12)x y = 3 ( 1 2 ) ?

A: Given curve is : y=312x

Q: In Exercises 2-4, solve each system by the substitution method or the addition method. Identify syst...

A: 2). Given equations are: 5x+4y=10                           ⋯1 3x+5y=-7                             ...

Q: A bus route is 8 kilometers long. The bus does the route 6 times each day. How many miles will the b...

A:

Q: has been rotated IT 4 radians from the point (1, 0). It has a y- coordinate of 0.71 What are the coo...

A:

Q: Find the area of the blue shaded region in the figure, assumingthe quadrilateral inside the circle i...

A: A triangle inscribed inside a semicircle is a right triangle. This mean a right triangle with one si...

Q: A rectangle has one vertex on the line y = 10 - x, x > 0, another at the origin, one on the posit...

A: Given: A rectangle has one vertex on the line y = 10 - x, x>0, another at the origin, one on the ...

Q: Q 11 M Can you please help solving these questions? Please show full workings, thank you

A:

Q: Evaluate the expressions in. (2v- w, 3u + 2w)

A: Given,To Evaluate2v-w,3u+2w

Q: If a function f is an odd function, then what type of symmetry does the graph of f have?

A: An even function,f(x), is a function satisfying f(x)=f(-x). The transformation f(-x) gives the funct...

Q: Use the Repeated Nearest Neighbor Algorithm to find an approximation for the optimal Hamiltonian cir...

A:

Q: Use the complex number system and write each expression in the standard form a + bi. (2 + 3i) 3

A: Let the given complex number be z - z = 2+3i3Using formula - a+bi3 = a3+b3+3a2b+3ab2z = 23+3i3+3223i...

Q: a For numbers 8a-8c, tell whether each expregsion was rewritten using the Commutative Property or th...

A: On solving,we get

Q: Solve the inequality. x2(7 - 6x) ≤ 1

A: The given inequality is: x2(7 - 6x)≤1To find the zeroes, equate "≤" with "=". So, x2(7 - 6x)=17x2-6x...

Q: write the equation of the line that has the indicated slope and contains the indicated point. Expres...

A:

Q: The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the di...

A:

Q: How is this solved ?

A:

Q: a. What is the function's domain b. What is the function's range c. What is the x-intercepts, if a...

A: From the graph : Domain : is set of value of x for which function exist Therefore, Domain : (-∞,∞)

Q: Graph the following features: Slope = - %3D • Y-intercept = 2 10 9. 6. 4 1 -10 -9 -8 -7 -6 -5 -4 -3 ...

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.