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WINSTONCH [101]
3 years ago
14

Two quadratic functions are shown.

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

Option (1) is the correct option.

Step-by-step explanation:

Function 1,

f(x) = 4x² + 8x + 1

     = 4(x² + 2x) + 1

     = 4(x² + 2x + 1 - 1) + 1

     = 4(x² + 2x + 1) - 4 + 1

f(x) = 4(x + 1)² - 3

This graph opens up with the vertex or minimum point at (-1, -3)

So, the minimum value of the function is (-3) at x = -1.

Function (2)

From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)

Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)

Option (1) is the correct option.

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2 years ago
A manager recorded how many hours each of 11 cashiers worked in a week. Which interval contains the median number of hours worke
Lana71 [14]

Answer:

Step-by-step explanation:

Hello!

In descriptive statistics, the median is a measurement of center position. It separates the sample in halves. (bottom 50% from upper 50%)

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To identify the median you have to calculate it's position:

The position is calculated as

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The first interval corresponds to 0-10 worked hours and two workers recorded these working times.

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5 0
3 years ago
Which is the solution to the equation 8.25 + 1/4w = 10.75? Round to the nearest hundredth if necessary.​
e-lub [12.9K]

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

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