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laiz [17]
3 years ago
6

2. Jacqui is putting together sets of greeting cards for a school fundraiser. There are four different card options, two

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer:

32

Step-by-step explanation:

The problem statement states that there are four card option two colored envelopes options and four sticker design options and as the greeting card constitutes of one type of card.one colored envelopes and one sticker design then the number of ways Jacqui arrange the greeting card sets can be calculated using the counting principle that is n1*n2*n3. So, the number of ways Jacqui arrange the greeting card sets can be calculated using the counting principle=4*2*4=32 different ways.

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Answer:

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Step-by-step explanation:

Given:

The equation Q(x)=2x^2-kx+18

To find:

Value of k = ? for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: ax^{2} +bx+c=0 to have one distinct solution:

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Here,

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Putting the values, we get:

(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12

The equation becomes:

Q(x)=2x^2-12x+18

And the one root is:

2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3

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Step-by-step explanation:

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