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4 years ago

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Quels sont les deux nombres dont la somme est 2095 et la différence 699

1 answer:

Furkat [3]4 years ago

4 0

Is there translation in english

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Use pascal's triangle to expand the binomial <br><br> (d-5y)^6<br><br> show work.

Zielflug [23.3K]

In attached file you can see Pascal's triangle. Explanation for this triangle is following:

coefficient in 0th row is $(a+b)^0=1$
coefficients in 1st row are coefficients of $(a+b)^1=1\cdot a+1\cdot b$
coefficients in 2nd row are coefficients of $(a+b)^2=1\cdot a^2+2\cdot ab+1\cdot b^2$
coefficients in 3rd row are coefficients of $(a+b)^3=1\cdot a^3+3\cdot a^2b+3\cdot ab^2+1\cdot b^3$ and so on
coefficients in 6th row are coefficients of $(a+b)^6=1\cdot a^6+6\cdot a^5b+15\cdot a^4b^2+20\cdot a^3b^3+15\cdot a^2b^4+6\cdot ab^5+1\cdot b^6.$

Then

$(d-5y)^6=\\=1\cdot d^6-6\cdot d^5\cdot 5y+15\cdot d^4\cdot (5y)^2-20\cdot d^3\cdot (5y)^3+15\cdot d^2\cdot (5y)^4-6\cdot d\cdot (5y)^5+1\cdot (5y)^6.$

Simplify it:

$(d-5y)^6=d^6-30d^5y+375d^4y^2-2500d^3y^3+9375d^2y^4-18750dy^5+15625y^6.$

4 0

3 years ago

Read 2 more answers

3x(x + 6) = -10

emmasim [6.3K]

Answer:

Step-by-step explanation:

Expand it: $3x^2 + 18x = -10$

Add 10 to both sides: $3x^2 + 18x + 10 = 0$

Divide both sides by 3: $x^2 + 6x + \frac{10}{3} = 0$

Find <em>a</em>, <em>b</em> for $(x + a)^2 + b = x^2 + 2x + a^2 + b \overset{!}{=} x^2 + 6x + \frac{10}{3}$

It’s $a = \frac{6}{2} = 3 \land b = \frac{10}{3} - a^2 = 3 + \frac{1}{3} - 9 = -6 + \frac{1}{3}$

So, inserting it leads to: $(x+3)^2 -6 + \frac{1}{3} = 0$

Subtract <em>b</em> from both sides: $(x+3)^2 = 6-\frac{1}{3}$

Apply square root to both sides and consider the two solutions: $x + 3 = \pm\sqrt{6-\frac{1}{3}}$

Subtract 3 from both sides and you get $x = -3 \pm \sqrt{6 - \frac{1}{3}}$

5 0

3 years ago

Can someone please help!!!

krek1111 [17]

Step-by-step explanation:

You graph the X first and then the Y second. Graph ( 7, -30)

6 0

3 years ago

Read 2 more answers

Please help me out!!!!!!!!!!!!!!!!!

olga2289 [7]

Solve for? to get ?=y-x. for every x,y pair y-x=6. 6 is your answer

3 0

4 years ago

Valeria bought cupcakes for her sister's birthday party. 15 cupcakes had sprinkles on top. The other 35 cupcakes did not have sp

blondinia [14]

The answer is 30% (30 percent)

8 0

3 years ago