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In-s [12.5K]
4 years ago
15

a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the

height of the stack of cups in terms of the number of cups in the stack
Mathematics
1 answer:
Alja [10]4 years ago
8 0

Answer: 20

H(c) = 6.4 + 0.6c

<u>6.4</u> is the constant.

When the height of the cups is <u>18.4</u> the function is:

18.4 = 6.4 + 0.6c

Then, you add <u>6.4</u> from both sides

18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4  + 6.4

Simplify

18.4 = 6.4 + 0.6c

Switch sides

6.4 + 0.6c = 18.4

Multiply both sides by <u>10</u>

6.4 x 10 + 0.6c x 10 = 18.4 x 10

Refine

64 + 6c = 184

Subtract <u>64</u> from both sides

64 + 6c - 64 = 184 - 64

Simplify

6c = 120

Divide both sides by <u>6</u>

6c/6 = 120/6

c = <u>20</u>

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Answer:

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Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

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for the above relation to be true the  following condition must be followed:

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now considering the equation (1)

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the roots can be found out as:

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or

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or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

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similarly for (2x² − 4x − 7) = 0.

we have

the roots are

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x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

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