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Ipatiy [6.2K]
3 years ago
8

Aldo needs 46 cookies for a party.

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

6 Packs

Step-by-step explanation:

Since he needs 46 cookies, he will have to buy 46/8 which is 5.75 packs. But since the packs are sold in whole, not fractions, he buys a ceil approximation of the packs which is 6, because if he buys 5, it will not be enough.

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The solution is correct.

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9. The sum of two numbers is 25 and whose product is 156. find the two numbers.​
lord [1]

Answer:

x = 12

y = 13

Step-by-step explanation:

Let's assume the two numbers as x and y.

The sum of the two numbers is 25

So,

  • x+y = 25
  • y = 25 - x

The product of the two numbers is 156

  • xy = 156
  • x(25 - x) = 156
  • 25x - x² = 156
  • x² - 25x + 156 = 0
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  • x - 13 = 0
  • x = 13
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Hence, the two numbers are 13 and 12.

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2 years ago
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3 years ago
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Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
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When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
2 years ago
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