Mathematics

Urgent! Determine if the element is reducible? 10 points for informative answer

Hello Experts, I am given that d = 1 mod 4. I need to show that Z[sqrt(d)] isnt Unique Factorization Domain. Also I need you to explain me why 1+sqrt(d) is irreducible. What I did: Take a = 1+sqrt

Can someone pls tell me if these answers are correct.

Derivative of exponential functions. d --- (e^(4x-1)) = e^(4x-1)*ln(e)*4 dx d --- (e^(sin2x)) = e^(sin2x)*ln(e)*cos2x dx d --- (10^sqrt(x)) = 10^sqrt(x)*ln(10)*1/2sqrt(x) dx if my answers arent cor

How would I write this expression as a sum and/or difference of logarithms expressing exponents as factors

logbase5(x^2√x^2+1) btw the x^2 +1 is all inside the square root-logbase5(x^2√x^2+1) btw the x^2 +1 is all inside the square root ...then use parentheses/brackets to make your meaning clear ! log [b

Solve the quadratic equation for x by factoring.

e)12x^2-4=22 f)2x+3/2=5/x-e) 12x^2 - 4 = 22 12x^2 - 26 = 0 6x^2 - 13 = 0 x^2 - 13/6 = 0 (x + √(13/6))(x - √(13/6)) = 0 x = ±√(13/6) f) 2x + 3/2 = 5/x 4x² + 3x = 10 4x² + 3x - 10 = 0 (4x - 5)(x + 2) =

Need some math help please!!!

4 out of 10 adults in a certain city buy their drugs at large drug stores.if this city has 34,000 adults, how many of these adults would you expect to buy their drugs at large drug stores? Thanks in

What value of b will make the system y=5x+9 & y=25x+b intersect at point (10,9)

Can you tell me the answer and if you can tell me how to do it?-When the two equations intersect,y=5x+9 and y=25x+b are equal i.e. 5x+9=25x+b.Since the point of intersection is (10,9), set x=10. 5(10)

What is the coefficient of x² here

Find the coefficient of x² in the binomial expansion of (2-5x)(1+2x)^7-You dont have to multiply the whole thing out. Here are the ways to get x^2: - constant term in (2 - 5x) times the x^2 term in (

Solve and simplify the following please!

18/(x^2-3x) - 6/(x-3) = 5/x 5/x - 2 = 2/(x+3) Thank Q!-1). 18/(x^2 - 3x) - 6/(x - 3) = 5/x 18/x(x - 3) - 6/(x - 3) = 5/x 18 - 6x = 5(x - 3) 11x = 33 x = 3 2). 5/x - 2 = 2/(x + 3) 5(x + 3) = 2x 3x =

Can you do my homework

Factor the trinomials or other polynomials into two binomials. 1. x²-9x+20 2. x²-5x-24 3. x²+8x+16 4. x²+10x+16 5. x²-12x+36 6. x²+7xy+12y² 7. x²-25 8. 9x²-49-1. (x-4)(x-5) 2. (x-8)(x+3) 3. (x+4)(x+

Ahhh more math help please

Im still on my trig homework... Is the Arcsec2= 60 degrees? Arcsin squareroot of 2/2=45 degrees? Arccot 1/squareroot of 3=60 degress? Arctan (-squareroot of 3)= -60 degrees? Sin (arcsec(-25/7)) =

If the coach chooses 5 girls to play at a time, how many different teams can be formed

The girls basketball team has 12 players. If the coach chooses 5 girls to play at a time, how many different teams can be formed? A box contains 3 red marbles, 6 blue marbles, and 1 white marble. Th

250e^0.05x=500,000 solve algebraically

show steps please-Step 1: Divide by 250: e^.05x=2000 Step 2: Take Natural Log: .05x=Ln(2000) Step 3: Divide by .05: x = Ln(2000)/.05 Step 4: Plug into calculator: x = 152.018 Sorry I came back to

I need some math help please??!!!

the scale on a map states that 1 cm corresponds to 30km.On the map, two cities are .07 cm apart.Find the actual distance. Thanks in advance.-Ok you have to set up a proportion. 1cm/30km = 0.07cm/(x)k

Math Elimination Equation Help!!!!!!!!!!!

11. 3a + b = 5 2a + b = 10 the answer is (--5, 20) 13. 3r - 5s = -35 2r -5s = -30 the answer is (-5, 4) 17. 4x - 3y = 12 4x + 3y = 24 the answer is (4.5, 2) 35. y = 5x x + 2y = 22 the answer i

How to solve these algebra 2 problems

1. squareroot of 25-squareroot of -16 divided by squareroot of 25+squareroot of -16 2. find the roots of x^3-5x^2-7x+51-1. Assume that the expression is (√25 - √(-16))/(√25 + √(-16)) Note that √25 =