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Solve the following system, where a and b are constants

2x+y=a 3x+6y=b-Solve the first to get y=a-2x Substitue into the second to get 3x+6(a-2x)=b Solve for x 3x+6a-12x=b x=-(b-6a)/9 Substitute into the first 2(-(b-6a)/9)+y=b Solve for y y=2(b-6a)/9

Differentiable functions problem!

If f , g, and h are differentiable functions such that: f (0) = 1, g(0) = 2, h(0) = 3, (gh)′ (0) = 4, (hf )′ (0) = 5, and (f g)′ (0) = 6 find the value of (f gh)′ (0).-(fg) = fg +gf = 2f + g = 6 (gh)

Question on EPW for maths

three pigs brought back 7 mushrooms arrange the mushrooms in the baskets so any total of mushrooms from 1-7 can be made. u cannot remove any mushrooms from baskets to help make up the totals for this

Integration by summation

just tell me if for r^2 it is {n(n-1)(2n-1)}/6 then what would it be for r^3 because i need to solve for x^3.-n Σ . ( r² ) = n(n+1)(2n+1) / 6 r=1 _________________________ n Σ . ( r³ ) = n² (n+1)² /

How do I simplify √64

Do I take √16 and √4? ... If thats right, from there I dont want what to do.-If you want to find the square root of 64, it is 8. But if you want the result to be 8i you must find the square root of -6

1 Algebra Question. Please Help. (10 Points)

Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check yo

Desperately need help with maths question

I desperately need a formula to figure out the width of a rectangle when only given the length.-The perimeter of a rectangle is related to its width and length by p = 2*W + 2*L The area of a rectangl

How to simplify 28/91 Please help!!!!!

how to simplify 28/91 Please help!!!!!? 7 * 4 = 28 7 * 13 = 91 you could try ! 28/91 = 4/13 qed-find a factor of 28 and 91. for example: 45/415 Divided by 5 = 8/83-28 and 91 both go into 7 so whe

Y'=5x^3y^2, solve for y

dy/dx = (5x^3)(y²) y^(-2) dy = 5x^3 dx Integrating both sides: -1/y = 5x^4/4 + C y = -1/(5x^4/4 + C)

What type of conics equation would this be

you have to rewrite this equation: 2(y^2)-x-4y+5=0 at first i thought it could be rewritten into a parabola or hyperbola but now i dont know. thanks for the help!-2y² - x - 4y + 5 = 0 There is a only

Find the limit as x--->0 of tan^3 5x/ x^2 sin4x

do i simplify tan^3 5x to tan(tan^2 5x) as the first step?-lim x---0 (tan^3 5x/125x^3)*(4x/sin4x)*(125x/4x) =lim x---0 125/4since lim x---0 tan x/x = x/sin x = 1 what you were thinking was wrong .It

How do you solve the following pair of simlutaneous equation by substitution

y-x^2=4x-3 y+2x^2-4x-1 PLEASE HELP!!-For your problem, I assumed equation two was y+2x^2 = 4x-1. If its something different, the steps should be very similar. I solved your problem on my forum since

A maths puzzle - can't get answer.

It might be old but if you could give me an answer , it will be helpful. Suppose there is a bill of Rs 75 and 3 friends pay it equally i.e. 25 each. But there was a discount and they get Rs 5 back , t

PLEASE TELL ME THE NAME OF THIS FORMULA!!!!! EXTREMELY URGENT!!

Sn = [n x (2a + (n – 1) x d)] / 2 ? I have atest fats approaching and the questions there use this formula, so i wanted to get some practise questionss that require its use but i dont know the name s

Pre Algebra 8th grade . I dont understand

I suggest you seek a tutor.-I dont understand how you could flunk the class 3 years in a row, quite embarrasing to me.-What about it dont you understand?-And your question is what?
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