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Ne4ueva [31]
3 years ago
13

How do u solve this? (-2)+11+4

Mathematics
2 answers:
forsale [732]3 years ago
7 0
1. Simplify brackets<span>-2+11+4 </span>
2. Simplify<span><span>13

(answer is 13) cymath.com is a great help
</span><span>
</span></span>
MAXImum [283]3 years ago
6 0
13 so you use pemdas to anwser corectly

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Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)​
Fudgin [204]

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 3 + (4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3))

Now decompose the remainder term into partial fractions:

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = (<em>ax</em> + <em>b</em>) / (<em>x</em>² + 4) + <em>c</em> / (<em>x</em> - 3)

Multiply both sides by the denominator on the left:

4<em>x</em>² - 15<em>x</em> - 4 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 3) + <em>c</em> (<em>x</em>² + 4)

Expand the right side:

4<em>x</em>² - 15<em>x</em> - 4 = <em>ax</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + <em>cx</em>² + 4<em>c</em>

4<em>x</em>² - 15<em>x</em> - 4 = (<em>a</em> + <em>c</em>) <em>x</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + 4<em>c</em>

Then

<em>a</em> + <em>c</em> = 4

<em>b</em> - 3<em>a</em> = -15

-3<em>b</em> + 4<em>c</em> = -4

Solve this system to get

<em>a</em> = 5, <em>b</em> = 0, <em>c</em> = -1

We end up with

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

and so

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3))

= 3 + 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

8 0
3 years ago
4a. If (11+x) is positive, but (4+x) is negative, what is one number that x could be?
sattari [20]

Answer:

Step-by-step explanation:

x has to be equal to or less than a -5 to get (4 + x) to be a negative number.

x has to be equal to or greater than -10 for (11 + x) to be a positive number.

Therefore, any number between -10 and -5 will work.

8 0
3 years ago
Help??????? <br>dhdjdjmsjd​
Nimfa-mama [501]

Answer:

1/2 over 7/8

Step-by-step explanation:

becauseim smartt

4 0
2 years ago
Read 2 more answers
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
marissa [1.9K]

Answer: 12.32 for 5 day week or 8.8 for a seven day week

Step-by-step explanation:

2.2 x 28 = 61.6

61.6 divided by 5 is 12.32

divide by seven if its a full week and the answer is 8.8

7 0
3 years ago
if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?
EastWind [94]

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars

8 0
3 years ago
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