Perform the indicated operation. 1) f(n) = n-2 g(n) = n² + 2 Find f(n) + g(n) 2) flr) = 3x- 3 g(x) = -3x +2 Find (f-g(x) %3D %3D %3D 3) h(x) = x² – x g(x) = -3x-4 4) h(x) = x² – 3 g(x) = 3x + 4 Find (h + g)(x) %3D %3D Find

Q: If h(x)=4x^2+7, find h(4).

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Q: Help me please

A: Given that m,n p and q are all integers and A= m/q and B=n/p

Q: 18

A: For a quadratic equation of the form f(x)=ax2+bx+c When a<0, f(x) will attain maximum value at  x...

Q: You are shopping for T-shirts. Clothing Warehouse sells 3 T-shirts for $52. The Scene sells 2 T-shir...

A: To choose the best deal for buying T - shirts 

Q: Graph m > -5 on a number line

A: Given, m > -5  We have to graph  m > -5  on the number line.   

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A: We have to find the volume of cylinder

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Q: Graph a triangle with the points (1, Gra s of mble. (-7, 3), (-5, -4), and (2, 5). Translate 5 units...

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Q: Solve for rational equation 1_6 + 1 5х

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Q: Divide: (15.x – 5x2 + x + 5) ÷ (5x).

A: We have to divide the expression: 15x3-5x2+x+5÷5x Rewriting the expression, 15x3-5x2+x+5÷5x=15x3-5x2...

Q: Suppose you know that every vector in R can be written as a linear combination of the vectors in a s...

A: The set has at least 5 vectors otherwise it will not span the set R5.

Q: 1- x-2 Before simplifying I wrote the complex fraction 1 - 5x-3' without negative exponents as 1 1 1...

A: Given1-x-21-5x-3=1-1x21-15x3=x2-1x25x3-15x3=x2-15x3-1·5x3x2=xx2-15x3-1

Q: 9. Suppose you are given a triangle where: A = 0.7, B= 0.2 and c=9. %3D Then C=. a = b3=D Note: In t...

A: Given, A triangle with A=0.7, B=0.2, c=9 sum of angles of triangle A+B+C=π0.7+0.2+C=3.14C=2.24 now f...

Q: (6) (a) Using the remainder theorem, determine whether (x – 4) and (x – 1) are factors of the expres...

A:

Q: Solve: a) a2 – 3x – 40 = 0 b) 120a2 – 240a – 200 160 c) 3a2 – 4x = -1 d) 5(2a – 3)(32 - 4)(5x- 2) = ...

A: a)  x2-3x-40=0      x2-8x+5x-40=0xx-8+5x-8=0x+5x-8=0x=-5, 8   b)  120x2-240x-200=160       120x2-240...

Q: 2. This graph shows the relationship between the pounds of cheese bought at a deli and the total cos...

A: A.  The point (2.5, 10) indicates that the cost is $10 for 2.5 pounds of cheese B.  Though this grap...

Q: 1

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Q: 3x^3-15x^2-42x Use the box method

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. 13x2 +...

A: 13x2 + 1 = 6x

Q: 1/2 x 4 (4+5)

A: We have  to calculate the answer

Q: a) What is the rebate fraction of a 36 month loan paid off after the 13th payment?

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining...

Q: (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval...

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Q: 9. Determine whether each relation is a Linear Function or a Non-Linear Function. Sample Answer (inc...

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Q: George works a job where he receives an hourly wage plus a bonus for being on time every day. The ta...

A: Let, h be the hourly wage , b be the bonus and t be the hours worked per week and w be the total wag...

Q: i need this answered pls

A:

Q: add or subtract as indicated. (3/2 + (1/3)i) + (1/6 - (3/4)i)

A: To add: (32+(13)i)+(16-(34)i) Solution: (32+(13)i)+(16-(34)i) On simplifying further we get: ⇒(32+(1...

Q: Melanie has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices...

A: Inequality

Q: solve each quadratic equation using the method that seems most appropriate. 2x2 - 7x = -5

A: To find: The solution of quadratic equation 2x2-7x=-5. Given: The quadratic equation is 2x2-7x=-5. C...

Q: (3 pages) Jessica wants to solve the equation 2x +3 = 17 using tables. Her plan is to create a table...

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Q: 6. How many solutions does the equation 5x + 1 = -5x + 10 have? A) 0 1 C) 2 D Infinite

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Q: What is the probability mean

A: our objective is to define probability

Q: How many solutions does the equation 2 + 6 (x - 4) = 3x - 18 + 3x have? A 0 C 2 D Infinite SHOW HINT

A: We have to find the number possible solutions for the given equation. Initially we are going to simp...

Q: find R = {(x, y): xe X and y e Y and (y - {x) is divisible by 6

A: the set represented by (x,y) where the difference of the value in Y to that in  X should be divisibl...

Q: Fish growth The length L of a fish is related to its age by means of the von Bertalanffy growth form...

A:

Q: Questions 1,2 and 3

A: Given: Two natural numbers n and m 1) a) m+n∈N: As per the closure property of Natural numbers, the ...

Q: Write a general formula to describe each variation. The cube of z varies directly with the sum of th...

A: As z3 varies directly with the sum of the squares of  x and y we can say    z3=k×x2+y2  

Q: Find the domain and range of the relation depicted below.

A: The relation is defined by the following figure

Q: Essentials of DISCRETE MATHEMATICS Section 2.4- Relations and Equivalences

A: Check the relation

Q: What is the domain of a rational function?

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Q: n (3+ form atbi -64)(12- J-4

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Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE...

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we ...

Q: Two piecewise functions are shown below. h(x) = {4: -3x for x< 2 4x +1 for x 2 2 %3D g(x) x2 + 2 for...

A:

Q: Express the function (or rule) in words.

A: We have to express the function in words: gx=x+23 Writing part wise, If function is gx=x+2 Then we w...

Q: Can someone please help me

A: To determine the larger and smaller number.

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

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A:  

Q: Determine whether the linear transformation T : P2 → R^3 given byT(a + bx + cx^2) = (a − c, 2b, a + ...

A: Please see the explanation below

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the...

A: To solve the inequality: |x-5|≤3. Solution:  we know solution set of a modulus  inequality of the fo...

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.