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2 years ago

1/ab + a^2/b^2 find the sum?

Mathematics

1 answer:

maxonik [38]2 years ago

7 0

$\dfrac 1{ab} + \dfrac{a^2}{b^2}\\\\\\=\dfrac{b+a^3}{ab^2}\\\\\\=\dfrac{a^3 +b}{ab^2}$

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The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg

DanielleElmas [232]

Answer:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

we have

$f(x)=(x-4)(x+1)$

$f(x)=x^2+x-4x-4$

$f(x)=x^2-3x-4$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5) x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞) x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

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4 years ago

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Joey was given a savings account with $1000 when he was 10 years old. Every year, his great aunt Sally gave him another $250 to

Andrews [41]

1000 + 250x i think ?

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3 years ago

Ned rode his bike 7 miles to the library. he took a shortcut on the way home which was only 5 miles long. how many miles did ned

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He took 12 miles your welcome

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4 years ago

Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters f

Zolol [24]

Answer:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

$s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59$

$s= \sqrt{16.587}=4.07$

Step-by-step explanation:

For this case we can calculate the sample variance and deviation with the following table

Class Midpoint (Xi) fi Xi*fi Xi^2 *fi

120.6-123.6 122.1 17 2075.7 253443

123.7-126.7 125.2 49 6134.8 768077

126.8-129.8 128.3 29 3720.7 477365.8

129.9-132.9 131.4 41 5387.4 707904.4

133.0-136.0 134.5 35 4007.5 633158.8

___________________________________________

Total 171 22026.1 2839948.85

For this case we can calculate the mean or expected value with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

Now we can calculate the sample variance with the following formula:

$s^2 =\frac{\sum f_i X^2_i -[\frac{(\sum X_i f_i)}{n}]^2}{n-1}$

And if we replace we got:

$s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59$

And the standard deviation would be the square root of the variance and we got:

$s= \sqrt{16.59}=4.07$

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4 years ago

Find the number if 5/6 of it is 55.

kow [346]

Answer:

The unknown number is 66.

Step-by-step explanation:

We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.

55 ÷ 5 = 11

This means that 1/6 of the unknown number is 11.

Now, let's multiply 11 by 6.

11 x 6 = 66

Therefore, the unknown number is 66.

Hope this helps! :)

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3 years ago

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