Question

Find the value of x. Round measures to the nearest tenth (one decimal place).

A) x = 4.8
B) x = 7.2
C) x = 8.5
D) x = 9.6

Answer 1

Without the specific context, it is difficult to identify the correct value of x. General mathematical principles regarding scientific notation, rounding, solving quadratic equations, and significant figures are provided to give insight into potential calculations that might lead to such values.

Step-by-step explanation:

Without the specific schoolwork context or details of the equation or formula used to calculate x, it's challenging to provide an exact answer to the student's question on finding the value of x. However, utilizing some general mathematical principles and the information provided, we can offer explanations for the computations that might result in values similar to the options given:

• When faced with scientific notation such as 4.5 x 106, we move the decimal place to the right six times if the exponent is positive, yielding 4500000. A negative exponent, like -6, would require moving the decimal to the left, giving us 0.0000045.
• In cases of rounding, like 201.867, if the next digit after the desired decimal place is equal to or greater than 5, one would round up the last retained digit. The provided example properly rounds 201.867 to 201.87, indeed limiting the number to the hundredths place.
• The quadratic equation is a mathematical tool used to solve for x given a quadratic equation. If the result presents an impossible scenario, such as a negative concentration, this result would be discarded, and the viable positive solution would be accepted.
• Rounding to the proper number of significant figures depends on the operation and context. For multiplication, the number of significant figures in the result should match the number with the least number of significant figures in any of the numbers being multiplied. For addition and subtraction, one usually rounds to the least precise decimal place.

To provide a more accurate response in identifying the correct answer from the options A) x = 4.8, B) x = 7.2, C) x = 8.5, D) x = 9.6, we would need detailed information about the context in which x is being calculated.