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2 years ago

6

Here are five number cards. 2 5 7 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6.

Which card is removed? You must show your working. Note:Please make sure your final answer says card...

1 answer:

Lubov Fominskaja [6]2 years ago

7 0

Answer:

Card 7

Step-by-step explanation:

2+5+7+8+9 =31

Multiples of 6: 6, 12, 18, 24, 30

31-9=22, No

31-8=23, No

31-5=26, No

31-2=29, No

31-7=24, Yes

The only way to get a multiple of 6 is to subtract card 7, so card 7 is the answer.

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P(x)=(x-2)(x-4)(x-5)

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The constants of a polynomial is the term that has no variable attached to it.

<h3>The constant term</h3>

To determine the constant, we simply multiply the constant term in each factor of the polynomial.

So, we have:

<h3 /><h3>Polynomial P(x) = (x-2)(x-4)(x-5)</h3>

$Constant = -2 \times -4 \times -5$

$Constant = -40$

Hence, the constant is -40

<h3>Polynomial P(x) = (x-2)(x-4)(x+5)</h3>

$Constant = -2 \times -4 \times 5$

$Constant = 40$

Hence, the constant is 40

<h3>Polynomial P(x) =1/2(x-2)(x-4)(x+5)</h3>

$Constant = \frac 12 \times -2 \times -4 \times 5$

$Constant = 20$

Hence, the constant is 20

<h3>Polynomial P(x) = 5(x-2)(x-4)(x+5)</h3>

$Constant = 5 \times -2 \times -4 \times 5$

$Constant = 200$

Hence, the constant is 200

<u>P(x) =-5(x-2)(x-4)(x+5)</u>

$Constant = -5 \times -2 \times -4 \times 5$

$Constant = -200$

Hence, the constant is -200

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