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3 years ago

A calendar is regularly priced at $9, but is on sale for 75% off. What is the price after the discount and 5.6% sales tax?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

6 0

It would b 3.50. hope it helps

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Find the coefficient of the x^3 in the expansion of (2x-9)^5

il63 [147K]

Use the binomial theorem:

$\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}$

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

$\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}$

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3 years ago

Factor as the product of two binomials. x^2-100=x 2 −100=

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

Which are the solutions of x² = 19x + 12

Sever21 [200]

Answer:

$\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}$

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

$x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}$

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2 years ago

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Irina-Kira [14]

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The answer is c

Step-by-step explanation:

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