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alukav5142 [94]
2 years ago
15

For f (x) = 9 * 81^x evaluate f(-1/2)

Mathematics
1 answer:
LekaFEV [45]2 years ago
8 0

Step-by-step explanation:

f(x) = 9 * 81^x

When x = -1/2,

f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.

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Which of these correctly rearranges the terms in this polynomial so like terms are next to each other?3 – 6x + 4x2 + 3x – 6x2 –
fomenos

Answer:

The rearrangement of the terms is 4x^2-6x^2-6x+3x+3-4.

Step-by-step explanation:

The given expression is

3-6x+4x^2+3x-6x^2-4

Two terms are called like terms if they have same variables having same degree.

In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.

Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.

4x^2-6x^2-6x+3x+3-4

Therefore the rearrangement of the terms is 4x^2-6x^2-6x+3x+3-4.

7 0
3 years ago
Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour. A. Explain a method f
Soloha48 [4]

Answer:

A. 3.2307692308 batches of Muffins

B. 16 1/4 cups of flour

Step-by-step explanation:

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.

Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

3 1/4 cups of flour = 1 batch of Muffin recipe

10 1/2 cups of flour = x

3 1/4 × x = 10 1/2 × 1

x = 10 1/2 ÷ 3 1/4

x = 21/2 ÷ 13/4

x = 21/2 × 4/13

x = 42/13

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B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.

3 1/4 cups of flour = 1 batch of Muffin recipe

Hence,

1 batch = 3 1/4 cups of flour

5 batches = x

Cross Multiply

x = 5 × 3 1/4 cups of flour

x = 5 × 13/4

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x = 16 1/4 cups of flour

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