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3 years ago

Identify the minimum value of the function y = 2x2 + 4x Answer

Mathematics

2 answers:

iren2701 [21]3 years ago

4 0

Answer:

(-1, -2)

Step-by-step explanation:

Find the <em>x</em>-value the minimum occurs at. Use this value to find the minimum value. (Graph to find the highest point)

11111nata11111 [884]3 years ago

4 0

Answer:

y = - 2 is the minimum value

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex.

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let y = 0, that is

2x² + 4x = 0 ← factor out 2x on the left side

2x(x + 2) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

midpoint = $\frac{0-2}{2}$ = - 1 ← x- coordinate of vertex

Substitute x = - 1 into the equation for corresponding y- coordinate

y = 2(- 1)² + 4(- 1) = 2 - 4 = -2

vertex = (- 1, - 2)

Hence minimum value = - 2

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Andreyy89

Answer:

the answer is the second choice

Step-by-step explanation:

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8 0

3 years ago

Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a

Gnoma [55]

Answer:

(D)109

Step-by-step explanation:

Mean = 450 seconds

Standard deviation = 50

First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)

Using the Z-Score,

$P(\frac{x-\mu}{\sigma}$

From the Z-Score table

P(-1<x<1) = 0.68269

The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.

Since there are 160 Emergencies

Number whose expected time is between 400 seconds and 500 seconds

$=160 X 0.68269 \approx 109$

6 0

3 years ago

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e-lub [12.9K]

Answer:

a). 3M = [ 6.5 1.3 23.4 ]

[ 8.6 28.6 11.7 ]

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3 years ago

The NCAA is interested in estimating the difference in mean number of daily training hours for men and women athletes on college

hammer [34]

Answer:

$s^2_p = \frac{9*0.3^2 +9*0.4^2}{10+10-2}=0.125$

$s_p =\sqrt{0.125}=0.354$

$(2.7 -2.4) - 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=-0.032$

$(2.7 -2.4)+ 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=0.632$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data given

$\bar X_M = 2.7$ represent the sample mean for men