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vampirchik [111]
3 years ago
5

The vertex of f(x) = 3x ^2+ 5x + 2 is a: minimum maximum none of these

Mathematics
1 answer:
timama [110]3 years ago
6 0

Answer:

minimum

Step-by-step explanation:

Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

f(x) = 3x² + 5x + 2 ← is in standard form

with a = 3

Since a > 0 then vertex is a minimum

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motikmotik
4/7 cannot be simplified anymore. 5/8 can't be simplified either.
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2 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel
const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

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we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0
2 years ago
Which is bigger 5.8 or 5.5
frutty [35]

Answer:

5.8 is bigger

Step-by-step explanation:

5 0
3 years ago
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Anybody have an answer?
lyudmila [28]

(3+2)^2+(5+4)^2=x^2\\ 5^2+9^2=x^2\\ 25+81=x^2\\ x^2=106\\ x\approx10.3

7 0
2 years ago
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Approximately equal to symbol
And it’s mostly used in terms of numerical approximations
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