For what value of x is the rational expression below undefined x-4/3x2-75

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

The given expression is undefined when x = 5 OR x = -5

<h3>Undefined expression </h3>

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x² = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

Learn more on Undefined expression here: brainly.com/question/19815575

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James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot

shusha [124]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g