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Irina-Kira [14]
3 years ago
6

Solve the inequality. Write the inequality in interval​ notation. 9(t-2)>3(t-7)

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

\large\boxed{t>\dfrac{1}{2}\to t\in\left(\dfrac{1}{2},\ \infty\right)}

Step-by-step explanation:

9(t-2)>3(t-7)\qquad\text{use distributive property}\\\\(9)(t)+(9)(-2)>(3)(t)+(3)(-7)\\\\9t-18>3t-21\qquad\text{add 18 to both sides}\\\\9t>3t-3\qquad\text{subtract 3t from both sides}\\\\6t>3\qquad\text{divide both sides by 6}\\\\t>\dfrac{3}{6}\\\\t>\dfrac{1}{2}

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Use properties of rational exponents to simplify the expression. Assume that all variables represent positive numbers. Superscri
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Hi, your question was incomplete hence I have attached the complete version of the question below.

Answer:

<u>5x^3 y^2</u>

Step-by-step explanation:

Using the property of the product of the exponents on the base and removing the parentheses,

(125x^9y^6)^(1/3) = (125)^(1/3) * (x^9)^(1/3) * (y^6)^(1/3)

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Answer:

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Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car
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Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

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------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

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-------

Equation:

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---

f(50) = 2390 lbs.

====================

6 0
3 years ago
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