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stellarik [79]
2 years ago
5

Helpppp pleaseeeeeeee

Mathematics
1 answer:
Rainbow [258]2 years ago
3 0

Answer:

x= 6.85 or 89/13

Step-by-step explanation:

perimeter is sum of all sides added, so add them all and set them equal to 84

4(x-3) + 3x - 1 + 6x + 8 = 84

distribute

4x + 12 + 3x - 1 + 6x + 8 = 84

combine like terms

13x - 5 = 84

solve for x

x = 89/13 = 6.85

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Well I don't know.  Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

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Now you can multiply each side of the equation by  12 .
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Please help me graph #9.
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Hint to start out the problem:

eg. For f(4), use the first expression, (x-3)^2 because 4 is greater than 1.
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How to solve these question?
mart [117]
3.) An extreme value refers to a point on the graph that is possibly a maximum or minimum. At these points, the instantaneous rate of change (slope) of the  graph is 0 because the line tangent to the point is horizontal. We can find the rate of change  by taking the derivative of the function.

y' = 2ax + b

Now that we where the derivative, we can set it equal to 0.

2ax + b = 0

We also know that at the extreme value, x = -1/2. We can plug that in as well.

2a (-\frac{1}{2} ) + b = 0

The 2 and one-half cancel each other out.

-a + b = 0

a = b

Now we know that a and b are the same number, and that ax^2 + bx + 10 = 0 at x = -1/2. So let's plug -1/2 in for x in the original function, and solve for a/b.

a(-0.5)^2 + a(-0.5) + 10 = 0

0.25a - 0.5a + 10 = 0

-0.25a = -10

a = 40

b = 40

To determine if the extrema is a minima or maxima, we need to go back to the derivative and plug in a/b.

80x + 40

Our critical number is x = -1/2. We need to plug a number that is less than -1/2  and a number that is greater than -1/2 into the derivative.

LESS THAN:
80(-1) + 40 =  -40

GREATER THAN:
80(0) + 40 = 40

The rate of change of the graph changes from negative  to positive at x = -1/2, therefore the extreme value is a minimum.

4.) If the quadratic function is symmetrical about x = 3, that means that the minimum or maximum must be at x = 3.

y' = 2ax + 1

2a(3) + 1 = 0

6a = -1

a = -1/6

So now plug the a value and x=3 into the original function to find the extreme value.

(-1/6)(3)^2 + 3 + 3 = 4.5

The extreme value is 4.5


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3 years ago
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
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Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

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