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bonufazy [111]
3 years ago
8

The diagram below shows 4-sided shape categories that flow from one to another.

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

square

Step-by-step explanation:

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19 is 50% of what number?
Sonja [21]

Answer:

38

Step-by-step explanation:

<u>Step 1:  Change words into an expression</u>

19 is %50 of what number

19 * 2

38

Answer:  38

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3 years ago
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If anyone needs help I Can help you
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I'll help. I love helping people

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3 years ago
Resolve the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%7D%7B%28x%5E%7B2%7D%20%2B1%29%28x-1%29%5E%7B2%7D%20
Llana [10]

The partial fraction expansion will look like

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (<em>ax</em> + <em>b</em>)/(<em>x</em> ² + 1) + <em>c</em>/(<em>x</em> - 1) + <em>d</em>/(<em>x</em> - 1)²

Get everything in terms of a common denominator, and compare the numerators on both sides:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

Expand the right side:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

<em>x</em> - 2 = (<em>a</em> + <em>c</em>) <em>x</em> ³ + (-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em>) <em>x</em> ² + (<em>a</em> - 2<em>b</em> + <em>c</em>) <em>x</em> + <em>b</em> - <em>c</em> + <em>d</em>

<em />

Match up the coefficients and solve the resulting system of equations:

<em>a</em> + <em>c</em> = 0

-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em> = 0

<em>a</em> - 2<em>b</em> + <em>c</em> = 1

<em>b</em> - <em>c</em> + <em>d</em> = -2

==>   <em>a</em> = -1, <em>b</em> = -1/2, <em>c</em> = 1, <em>d</em> = -1/2

So the expansion into partial fractions is

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (-<em>x</em> - 1/2)/(<em>x</em> ² + 1) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

… = -(2<em>x</em> + 1)/(2 (<em>x</em> ² + 1)) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

5 0
3 years ago
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought
n200080 [17]
The best expression would be 9.50c + 9.50a. 
8 0
4 years ago
Help me on this please
MrRa [10]
<h2>Writing an linear equation from a given scenario</h2>

Answer:

Choice B

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this question to know more about writing a </em><em>linear</em><em> </em><em>equation</em><em> from a given scenario: </em><em><u>brainly.com/question/24599307</u></em>

Scenario: A submarine dives 70 feet per minute.

We let f, be the position of the submarine from sea level as a function of t, the time (in minutes) since the submarine dived.

The given scenario states that for every minute, the position of the submarine <u>decreases</u> (because the submarine is going in a downward direction) by 70 feet. So f(t) can be defined as -70t.

Now we can select two points for the graph. We can select points (1, f(1)) and (2, f(2)).

Evaluation of function:

f(1) = -70(1) \\ f(1) = -70

f(2) = -70(2) \\ f(2) = -140

Our points are (1, -70) and (2, -140)

Choice A doesn't touch our chosen points. In Choice C, it would be the case if the submarine is going in upward direct.

So the correct graph is Choice B.

5 0
3 years ago
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