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2 years ago

Which expression is equivalent to (3m² + 5m - 2) + (-2m +18)? Someone answer ASAP

Mathematics

2 answers:

Montano1993 [528]2 years ago

4 0

3m^2 +5m-2-2m+18

3m^2 +3m+16

Charra [1.4K]2 years ago

4 0

Answer:

3m² + 3 m + 16

Step-by-step explanation:

( 3 m ² + 5 m - 2 ) + ( - 2m + 18 )

Remove the unnecessary parantheses and rewrite

3 m ² + 5 m - 2 - 2 m + 18

combine like terms

3m² + 5 m - 2 m + 18 - 2

calculate the sum

3m² + 3 m + 16

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Im new to this app can someone help me please and thank u so much

GaryK [48]

Answer:

$3\frac{1}{4}$

Step-by-step explanation:

we have to divide the given distance by 3.

Then we will be able to find the distance between markers.

Given distance is

$9\frac{3}{4} \\=\frac{36+3}{4}\\ =\frac{39}{4}$

Since, there are three markers,

So, we have to divide this distance by 3

So, the distance between markers is-

$\frac{\frac{39}{4}} {3} \\=\frac{39}{4} * \frac{1}{3} \\=\frac{13}{4}$

So, the distance between marker is

$\frac{13}{4}$

Now, we have to convert this into mixed number.

Then, the distance is-

$\frac{13}{4}\\ =3\frac{1}{4}$

4 0

2 years ago

Need help with Calculus 1 inverse trig functions

lidiya [134]

Answer:

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}$

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

$\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}$

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

$\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}$

Where u is a function of x as provided:

$y=3tan^{-1}(x+\sqrt{1+x^2})$

If we set

$u=(x+\sqrt{1+x^2})$

Then

$\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}$

$\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}$

Taking the derivative of y

$y'=3[tan^{-1}(x+\sqrt{1+x^2})]'$

Using the change of variables

$\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}$

$\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}$

Operating

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}$

$\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}$

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2 years ago

2. A meeting room has 8 rows of

postnew [5]

Answer:60

Step-by-step explanation:

There are 80 chairs in all because 8 rows x 10 chairs per row. The first people fill two rows which is 20 chairs because each row is 10 chairs so 60 chairs are left

5 0

3 years ago

What is the approximate area of a semicircle with a radius of 8 ft? Use π=3.14 . Enter your answer in the box. The area of the s

yan [13]

Answer:

100.48

Step-by-step explanation:

Get the Radius which is 8 then multiply (8)(8) and then get 64, finally you need to do 64*3.14 to get the final answer of 200.96. Then you need to divide that by two which would give you the final answer of 100.48

6 0

2 years ago

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Which estimate best describes the area under the curve in square units?

Scrat [10]

<span>Answer : 40 units² under the curve.</span>

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2 years ago