et f(x) = 19x and g(x)= -2x-6. find (fg)(x)

Q: Ue fe Einemial Theorem to ine tre coeficit ofnthe eparsion of ir+ 31

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Q: Write the following logarithmic equation as an exponential equation. Don not simplify your answer. 4...

A: We have to use the formula  With a=4, b=4.4 and c=V  

Q: 11. given the function f(x)=4x^3 -5, we calculate f^-1 (x) to be

A: To find the inverse of 

Q: Sketch a triangle that has acute angle θ. cot(θ) = 2         Find the other five trigonome...

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Q: Choose the correct graph below. A. B. OD. 10 10- х о 1어 -10 10 -10 -10 -10- -10- 101 -10-

A: Given: y = g(x), Then from graph we can extract that for  x = 0  g(0) = 0 y = 0  

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x° equal 1. The polynomia...

A: If x=k is a zero of a polynomial, then (x-k) is a factor of the polynomial. Given that the zeros are...

Q: A man buys a car for $36,000. If the interest rate on the loan is 12%, compounded monthly, and if he...

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Q: Suppose that f is a linear function such that f(2) = 5. If the slope of f is 2.7, then what is f(7)?...

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Q: the stopping distance d of a car after the brakes have been applied varies directly as the square of...

A: Given that d varies directly as the square of r. So, d=kr2  Where k=constant Given that, for r=40, d...

Q: Algebra Question

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3, and...

A: Since x=i is a zero, so x=-i is also a zero of Q So the factors of Q are (x-0) , (x-i) , (x+i)     

Q: 1) Given f(x) = 2x2 + 16x + 24, a) Evaluate f(-3) b) Solve algebraically for x if f(x) = 0

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Q: Solve by substitution -3x+5y=16 y=4x-7

A: Consider the given system of equations:

Q: The pH of a fruit juice is 2.6. Find the hydronium ion concentration, H30* |. of the juice. Use the ...

A: Given that pH= 2.6  We have to find [H3O+] =?  

Q: determine whether the relation is a function x    y -2  9 -1 1 -2 2

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Q: 44. Divide the polynomials using long division. 3x1 - 2.r3 – 5x2 + 15z + 2 r2 - 3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 9. find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5 d...

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Q: Need help with #6 with steps shown.

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Q: Solve algebraically

A: To solve algebraically, set the separate monomial as zero and find the value of x.

Q: Solve the following inequality.    -2 < x + 3 < 5

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Q: Solve:   x2+ 2x = 2

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Q: Algebra Question

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Q: If $400 is invested at an interest rate of 5.5% per year, find the amount of the investment at the e...

A: Initial amount =P= 400 Interest rate = r= 5.5% = 0.055  Time= t= 13 years  A= final amount=?   a) Fo...

Q: What is f(12) for the function f(x) = 2x + 3 ?

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Q: Calculate the amount of simple interest earned. $6,000 at 6% for 8 years

A: The formula to calculate simple interest is = (principal) *(rate) *(time) /100

Q: The fundamental theorem of Algebra states that f(x)=x^7+6x^3-5  Can have at least 5 real solutions t...

A:  f(x)=x^7+6x^3-5  has highest exponent= 7  so degree of f(x) is 7      

Q: Solve the absolute-value equations. For each equation, find the sum S of the solutions. (a) |8r – 3 ...

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be describ...

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Q: Estimate the percentage  66 2/3% 3,300

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Q: Solve

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Q: Graph the feasible region for the system of inequalities  y>4x-1 y<-2x+3

A: The graph of an equation y>4x-1 is:

Q: What is f(12) for the function f(x) = 2x + 3 ?

A: Given function is To find f(12), we replace x by 12 in f(x)

Q: 15. solve for x in the following equation 2e^3x-1=10 a. x=log5+1/3 b.x=in5-1/3 c.x=in8+1/3 d.x=in5/3...

A: To solve the equation 

Q: Use long division and express P in the form  P(x) = D(x) · Q(x) + R(x).   P(x) = 20x4 + 16x3 + 9x2,...

A: Explanation: Given that,  P(x) = 20x4 + 16x3 + 9x2,    D(x) = 4x2 + 1 We will follow some steps to p...

Q: The length of a rectangular garden is 2m greater than the width. The area of the garden is 80 m2. Fi...

A: Suppose that the width of the garden is x then the length of the garden is x+2.

Q: Since last year, domestic abuse filings have increased by 12%, and juvenile fillings have increased ...

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Q: For Exercise, solve the system by using the addition method. 4x = 4 – y 16y = 144 + 9x²

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Q: (a) Use synthetic division to find the quotient and remainder when  x4 − 4x2 + 2x + 7  is divided by...

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Q: Algebra Question

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST  QU...

Q: really need help on how to figure this out. it is not for a grade. already did and got it wrong. nee...

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Q: (a) Draw the graph of f(x)

A: Consider the exponential function:

Q: 16. Use teh laws of logarithms to rewrite the expression loga(x^3/y^2z^2)in a form with no logaritms...

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Q: Solve the following absolute value inequality. [x-2]>6

A: We can write the given function without absolute value as:  

Q: Consider the following polynomial  f(x)=2x(x-1)(x+3) Find the degree and leading coefficient Describ...

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Q: A system of linear equations is given.   2x  −  y  +  z  =  0 3x  +  2y  −  3z  =  1 ...

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Q: 4x-9=3.5x-9 solve for x

A: We subtract 3.5x from both sides  

Q: Evaluate the expressions. (3-1)3 (4-2)2

A: (3-1)3 = 3-3 = 1/(33) = 1/27 ∴ (3-1)3 = 1/27

Q: Solve algebraically

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Q: Find the present value (in dollars) of an annuity that pays $8,000 at the end of each 6-month period...

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Q: Which graph shows the correct solution y=1/2-6  y=-2x+4 Graph 1 Graph 2 or Graph 3?

A: We first solve the given equations We set the equations equal and solve for x  

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.