Step-by-step explanation: The entertainment company’s net value after t months can be expressed by the equation; v(t) = 4t² - 24t - 28.
To factor this expression, we need to simplify the equation:
v(t) = 4t² - 24t - 28,
dividing everything by 4 yields:
v(t) = t² - 6t - 7,
v(t) = t² - 7t + t - 7,
v(t) = t(t-7) + 1(t-7),
v(t) = (t+1)(t-7).
Thus, the function in factored form is v(t) = (t+1)(t-7).
To find when the company hits its lowest value, substitute v(t) = 0 into the factored expression:
v(t) = (t+1)(t-7).
Setting equal to zero provides:
(t+1)(t-7) = 0, leading to t + 1 = 0 and t - 7 = 0; thus, t = -1 and t = 7.
Since time cannot be negative, therefore, t equals 7 months.
This indicates that after 7 months, the company will reach its minimal net value.
Answer:
The triangulation technique may not always yield a precise result (aside from any errors in measurement) for the following reasons:
It employs a variety of data sources, different researchers, and multiple theories or viewpoints.
Step-by-step explanation:
Research triangulation integrates various methods, data sources, diverse investigators, and assorted theories to develop a deeper insight into the situations being studied. This process fortifies qualitative research by incorporating data from multiple sources, perspectives, and methodologies.
Step-by-step explanation:
When a negative number is placed within a modulus function, the result will be positive. For instance, |-3| equals 3, |-6| equals 6, and |5| equals 5, etc.
A modulus function, expressed as |x|, is always positive unless x is zero, in which case it equals zero.
Consequently, |x| cannot be less than -4 because |x| is always non-negative. Thus, the statement is inaccurate.
Response:
The equation provided is e=\frac{17}{20}d, where e represents euros and d denotes the equivalent value in U.S. Dollars.
We aim to determine the number of euros for 1 U.S. Dollar.
Substituting d=1 in the above equation
results in
e=\frac{17}{20}(1)
Simplifying gives us
e=\frac{17}{20}
By dividing 17 by 20, we get 0.85.
Thus, 0.85 euros are equivalent to 1 U.S. Dollar.
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