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s2008m [1.1K]
3 years ago
13

What is the vertex of the function f(x) = x2 + 12x?

Mathematics
2 answers:
Volgvan3 years ago
8 0

Answer:

A: (-6, -36)

Step-by-step explanation:

This should be the right answer on edge,

please correct me if I'm wrong.

saul85 [17]3 years ago
5 0

Answer:

6, - 36 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

f(x) = x² + 12x ← is in standard form

with a = 1, b = 12, c = 0 , then

x = - \frac{12}{2} = - 6

Substitute x = 6 into f(x) for corresponding value of y

f(6) = 6² + 12(- 6) = 36 - 72 = - 36

vertex = (6, - 36 )

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Answer:

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Step-by-step explanation:

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Sally Reynolds sells real estate along the coastal area of Northern California. Below are her total annual commissions between 2
tatiyna

Answer:

Mean = $229.32

Median = $231.15

Mode = $268.4

Step-by-step explanation:

Mean = the average.

The average is the sum of variables divided by the number of variables.

x = each variable

N = number of variables = 11

Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11

Mean = 2522.56/11 = $229.32

b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.

So, to find the Median, we first arrange the variables in ascending order.

162.77

204.43

205.17

205.70

224.45

231.15

236.09

253.82

262.18

268.4

268.4

Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.

Median = $231.15

c) Mode is the number that appears the most in a distribution.

In this distribution, only 268.4 appears more than once.

Hence, the more is $268.4

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