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sergey [27]
3 years ago
9

explain why in a drawer only containing two different colors of socks one must pull 3 out to find a matching pair?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0
If there are only two colors (let's say blue and red), here's what can happen:
sock #1 is blue
#2 is either blue or red. If blue, it matches #1 and you have a pair.
if red, go to #3
#3-either blue or red. If blue, matches #1. If red, matches #2.

OR sock #1 is red... then just reverse the colors. Basically, if you have three things that can only be in two groups, then even if two of them are different, the last one has to match one of them.

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The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the followin
Lisa [10]

Answer:

6

Step-by-step explanation: You can set up the equation: \sqrt{\frac{n}{3} } = \sqrt{n-4} You square both sides to cancel out the squares which leaves you with \frac{n}{3} = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with \sqrt{2} on both sides.

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Solve m=Y2-Y1/X2-X1<br> for Y2
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You know this is just a formula, right?
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1+1 equals what i don't know big prize i give all my brainy points i just graduated don't need this anymore
Marina86 [1]

\huge \mathbb \pink{HELLO }

\sf \green{1  + 1 \: is \: 2}

\huge \mathcal \orange{HAVE \: A \: GOOD \: DAY }

6 0
2 years ago
The graph of f(x) = 2x^2 + 20x + 48 is shown
Free_Kalibri [48]

Answer:

a) The equation in intercept form by factoring is (x+6)(x+4)

b) From the given graph x- intercepts are (-4,0) and (-6,0) and zeros (roots) of the function are -6 and -4.

c) The solutions of  2x^2+20x+48=0 is (x+6)(x+4)=0 that is x= -6 and x = -4.

Step-by-step explanation:

The given quadratic  equation is f(x)=2x^2+20x+48

Put the function f(x) = 0 , then f(x)=2x^2+20x+48=0

a) The equation in intercept form by factoring is ,

Consider the given function,

f(x)=2x^2+20x+48=0

\Rightarrow 2x^2+20x+48=0

taking 2 common, we get,

\Rightarrow 2(x^2+10x+24)=0

\Rightarrow x^2+10x+24=0

The above is a quadratic equation of the form ax^2+bx+c=0

Solving quadratic equation using middle term splitting method,

\Rightarrow x^2+6x+4x+24=0

\Rightarrow x(x+6)+4(x+6)=0

\Rightarrow (x+6)(x+4)=0

Thus, The equation in intercept form by factoring is (x+6)(x+4).

b) From the given graph x- intercepts are (-4,0) and (-6,0) .

Zeroes / roots of a function are those points where the value of the function is zero.

Put f(x) = 0  as solved above

that is (x+6)(x+4)=0

\Rightarrow (x+6)=0 or \Rightarrow (x+4)=0

\Rightarrow x=-6 or \Rightarrow x=-4

Thus, zeros (roots) of the function are -6 and -4.

For checking put x = -6 and -4 in the function we get f(x) =0 .

c) The solutions of  2x^2+20x+48=0 is (x+6)(x+4)=0 that is x= -6 and x = -4 as shown above.


8 0
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Every female rabbit has 5 baby rabbits. What is the constant of proportionality for the ratio of baby rabbits to female rabbits?
lora16 [44]

Answer:

B.5

Step-by-step explanation:

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3 years ago
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