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zheka24 [161]
3 years ago
9

a recipe uses 3 cups of gated cheese to make 10 servings. how much cheese is needed to make 6 servings?

Mathematics
1 answer:
Pavel [41]3 years ago
7 0
Quantity/numberofservings
3/10=x/6
times 30 both sides
9=5x
divide by 5
9/5=x

answer is 9/5 cups or about 1.8 cups
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Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end be
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Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

f(x) = \frac{8x - 1}{2x - 9}

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

  • \lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} \frac{8x}{2x} = \lim_{x \rightarrow -\infty} 4 = 4.
  • \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{8x}{2x} = \lim_{x \rightarrow \infty} 4 = 4.

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

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7 0
2 years ago
What is the value of 3 + (-1/4)² ÷ 1/2?<br><br> A. 6 1/8<br> B. 21 1/8<br> C. 7<br> D. 3 1/8
Amiraneli [1.4K]
<span>3 + (-1/4)² ÷ 1/2
= </span><span>3 + 1/16 * 2
= 3 + 1/8
= 3 1/8

answer

</span><span>D. 3 1/8</span>
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3 years ago
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Margarita [4]

Answer:

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Since the lines have the same slopes, hence they are parallel lines

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We can determine the relations by knowing the slopes of the line

For the line with coordinates (9, –5) and (5, –2)

Slope = -2+5/5-9
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For the line with coordinates (–4, –2) and (–8, 1)

Slope = 1+2/-8+4
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Since the lines have the same slopes, hence they are parallel lines

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