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gizmo_the_mogwai [7]
3 years ago
8

Help! Using complete sentences, explain how to find the maximum value for each function and determine which function has the lar

gest maximum y-value. F(x)=-4(x-6)^2+3.

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

Final answer is that function g(x) has the largest maximum value, which is 6.

Step-by-step explanation:

Given function is F(x)=-4(x-6)^2+3.

Now we need to find about what is the maximum value of the given function F(x)=-4(x-6)^2+3 and explain the method about how did you find the maximum value.

Given function F(x)=-4(x-6)^2+3 looks similar to the quadratic function of the form f(x)=a(x-h)^2+k.

Comparing both we get: h=6, k=3

We know that maximum value occurs at the vertex where maximum value is given by "k"

Hence maximum value of the given function F(x)=-4(x-6)^2+3 is = 3

From graph we can clearly see that function g(x) has maximum height at 6.

So the final answer is that function g(x) has the largest maximum value, which is 6.

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Miguel drives 295 miles in 5 hours. How many miles does Miguel drive in 75 points
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Step-by-step explanation:

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3 years ago
If the inspection division of a county weights and measures department wants to estimate the mean amount of
Amanda [17]

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

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

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data  near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=z/2* ST/\sqrt{N}

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

n=(z/2ST/Me)^{2}

n=(1.96*0.05)^{2} /(0.01)^{2}

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

Learn more about standard deviation at brainly.com/question/475676

#SPJ4

The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

7 0
2 years ago
the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls​
Softa [21]

Answer:

The area of the walls is 2,160\ ft^{2}

Step-by-step explanation:

we know that

The area of the walls is equal to the perimeter of the conference room multiplied by the height of the ceiling

so

A=2[40+50](12)=2,160\ ft^{2}

5 0
3 years ago
I need help steps to find the answer
sleet_krkn [62]

Step-by-step explanation:

101° = (6x + 5)° (by F angles)

Therefore 6x = 96 and x = 16.

6 0
3 years ago
Read 2 more answers
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