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Trava [24]
3 years ago
9

Which of the following is the minimum value of the equation y = 3x^2 − 4x − 2?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

-3 1/3

Step-by-step explanation:

The quadratic

... y = ax² +bx +c

has its extreme value at

... x = -b/(2a)

Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.

To find the minimum value, we need to evaluate the function for x=2/3.

The most straightforward way to do this is to substitue 2/3 for x.

... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2

... y = (4 -8 -6)/3 = -10/3

... y = -3 1/3

_____

<em>Confirmation</em>

You can also use a graphing calculator to show you the minimum.

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MATHSWATCH
Jobisdone [24]

Answer:19683x

Step-by-step explanation:

Evaluate the exponent

27.93x

27.729x

i am pretty sure sorry if I am wrong

7 0
2 years ago
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 1.2

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

Z = \frac{X - \mu}{\sigma}

-1.047 = \frac{X - 12}{1.2}

X - 12 = -1.047*1.2

X = 10.7436

The cutoff sales level is 10.7436 millions of dollars

6 0
3 years ago
Hew hats the LCM of 6 and 4
Simora [160]
That would be 2 because you can divide both by 2 and get a whole number hope this helps
8 0
3 years ago
Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning.
r-ruslan [8.4K]
The answer would probably be 18 degrees below normal because the absolute values of the rest are 8 not 18 which is the absolute value of 18 degrees below normal.
6 0
3 years ago
Solve the equation and check the solution 16+x=42
tigry1 [53]
The answer would be: X=26
6 0
3 years ago
Read 2 more answers
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