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almond37 [142]
3 years ago
14

Connie's puppy Fido weighs 12 pounds. The veterinarian says that Fido will gain weight at a steady rate for the next 6 months an

d weigh at least 27 pounds after that. What inequality can you write to find the average number of pounds the veterinarian expects Fido to gain monthly for the next six months?
Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0

Answer:42

Step-by-step explanation:

Tamiku [17]3 years ago
6 0

Answer:

6x + 12 \geq 27

Step-by-step explanation:

x is defined as the average number of pounds Fido will gain each month. You multiply x by 6, as this is the amount of months you are calculating for, to get the amount of weight that Fido will gain in the next 6 months. You add this value to 12, as this was Fido's starting weight. You use the "greater than or equal to" sign because he is going to weigh at least 27 pounds, which means 27 at the minimum, and potentially more.

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15 ÷ 17

Step-by-step explanation:

Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,

From trigonometric ratios, cosx° = adjacent/hypotenuse

= 15 cm/17 cm

= 15/17

= 15 ÷ 17

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The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a
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4 years ago
12x^4 − 20x^2+ 32x
gulaghasi [49]

1) common factors of the variable is x

2) common factors of the constants is 4

3) common factors of the expression is 4x

<em><u>Solution:</u></em>

Given that,

12x^4 - 20x^2 + 32x

<em><u>1. Explain how you find the common factors of the variable? </u></em>

The variables are:

x^4\\\\x^2\\\\x

Find the factors:

x^4 = x \times x \times x \times x\\\\x^2 = x \times x\\\\x

Here, "x" is present in all variables

x is the greatest common factor

Thus common factors of the variable is x

<em><u>2, Explain how you find the common factors of the constants?</u></em>

The constants are 12, 20 and 32

Find the greatest common factor

List down factors of 12, 20 and 32

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 4

The common factors of the constants is 4

<em><u>3. What are the common factors of the expression?</u></em>

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12x^4 - 20x^2 + 32x

Factor out x and 4

4x(3x^3 - 5x + 8)

The common factors of the expression is 4x

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3 years ago
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