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ozzi
3 years ago
8

FIND the number of combinations 8C2

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

8c2 = 28

Step-by-step explanation:

You can plug this into your calculator (on a TI-84, it's MATH -> PRB -> 3) as 8 nCr 2.

Let's try to understand what the output means, though! The nCr function is based on Pascal's Triangle (see the attachment for a picture).

When we do 8 choose 2, we are basically thinking about having 8 possible values and 2 spots to fit them in, and we don't care about what order they're in. The probability of this is 8*7 / 2 = 28. Our answer makes sense!

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Congruent angle pairs : Find value of x
Alexandra [31]

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

Please mark as brainliest

Thank You

6 0
3 years ago
X^2 -3x + 0 = 0 Factor and solve
Luda [366]
So if you subtract the 0 out from the left side, the equation is now x^{2}-3x=0. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like x(x-3)=0. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
3 0
3 years ago
Read 2 more answers
(4x-4)+(3x-2)+(2x+6)=180
Ahat [919]

Answer:

x=20

Step-by-step explanation:

Let's solve your equation step-by-step.

4x−4+3x−2+2x+6=180

Step 1: Simplify both sides of the equation.

4x−4+3x−2+2x+6=180

4x+−4+3x+−2+2x+6=180

(4x+3x+2x)+(−4+−2+6)=180(Combine Like Terms)

9x=180

9x=180

Step 2: Divide both sides by 9.

9x

9

=

180

9

x=20

Answer:

x=20

6 0
3 years ago
Read 2 more answers
Find dy/dx if y =x^3+5x+2/x²-1
stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

\qquad\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\

According to the given question, we have –

  • f(x) = x^3+5x+2
  • g(x) = x^2-1

Let's solve it!

\qquad\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2)  \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5)  -  ( x^3+5x+2) 2x}{(x^2-1)^2 }\\

\qquad\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\

\qquad\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\

\qquad\pink{\therefore  \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}}  =  \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\

7 0
2 years ago
Which inequality represents all possible solutions of -12d2 -6?
qaws [65]

Answer:

f

Step-by-step explanation:

6 0
3 years ago
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