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4 years ago

Please help! Calculate the average rate of change for the given function, from x = 1 to x = 4.

Mathematics

1 answer:

egoroff_w [7]4 years ago

5 0

Answer:

4) 2

Step-by-step explanation:

The average rate of change is ...

(f(4) -f(1))/(4 -1) = (10 -4)/3 = 6/3 = 2

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Town A is 14 feet below sea level and town B is 489 feet above sea level what is the difference in elevation between town A and

amm1812

Answer:

Are there any answer choices?

Step-by-step explanation:

3 0

3 years ago

Which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)

Lelechka [254]

Answer:

8x^6-27y^6

Step-by-step explanation:

simplify the expression

3 0

3 years ago

Find all values of m so that the function y = xm is a solution of the given differential equation. (Enter your answers as a comm

blagie [28]

Answer:

m = 6,9

Step-by-step explanation:

We are given that $y = x^m$ is a solution to given differential equation.

$x^2y'' - 14xy' + 54y = 0$

First we 3evaluate the value of:

$y'' = m(m-1)x^{(m-2)}$

$y' = mx^{(m-1)}$

Putting these value in the above differential equation, we get,

$x^2m(m-1)x^{(m-2)} + 14xmx^{(m-1)} + 54x^m = 0$

$x^m[m(m-1) -14m + 54] = 0$

$x^m(m^2 - 15m + 54) = 0$

$(m^2 - 15m + 54) = 0$

$(m-9)(m-6) = 0$

$m = 9,6$

Thus, for m = 9,6 , the function $y = x^m$ is a solution of given differential equation.

8 0

3 years ago

The glee club is having their annual Spring performance. The equation 5a+2s=48 represents the money collected on the first night

V125BC [204]

First, put them directly above each other.
5a+2s=48
3a+2s=32

You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32 (and add it to the other equation)
5a+2s=48
This gives you
2a=16
Divide both sides by 2 to get a by itself.

a=8, is your answer!

If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.

Hope this helped!

4 0

3 years ago

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

aniked [119]

Answer:

Step-by-step explanation:

given that

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

Each box of cereal is supposed to contain 13 ounces of cereal.

A random sample of 31 boxes is tested.

The average weight is 12.58 ounces and the standard deviation is 0.25 ounces.

Sample mean = 12.58

Sample std deviation = 0.25

Sample size = 31

Sample std error = $\sqrt{\frac{0.25}{\sqrt{31} } } \\=0.0449$

confidence interval can be calculated using t critical value because population sd is not known.

df = 30

t critical for two tailed = 1.697

Margin of error = $1.697*0.0449\\=0.07620$

conidence interval = $(12.58-0.0762, 12.58+0.0762)\\=(12.5038, 12.6562)$

Since this does not contain 13 oz. we reject the claim that each box contains exactly 13 oz.

4 0

4 years ago