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Jobisdone [24]
3 years ago
12

What is the sum? (3/x2-9) + (5/x+3)

Mathematics
2 answers:
vekshin13 years ago
8 0

Answer:

5x-12 / (x+3)(x-3)

Step-by-step explanation:

Given expression:\frac{3}{x^2-9}+\frac{5}{x+3}

Using identity a^2-b^2=(a+b)(a-b), we get

=\frac{3}{(x+3)(x-3)}+\frac{5}{x+3}

Taking L.C.M. of the denominator, we get

\frac{3+5(x-3)}{(x+3)(x-3)}=\frac{3+5x-15}{(x+3)(x-3)}

=\frac{5x-12}{(x+3)(x-3)}

\Rightarrow\frac{3}{x^2-9}+\frac{5}{x+3}=\frac{5x-12}{(x+3)(x-3)}

vladimir2022 [97]3 years ago
8 0
It’s (3/x2-9)+(5/x+3) go help me on my question!
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Help me on this problem
Wittaler [7]

Answer:

1 and 3 are both perpendicular to segment NY

Step-by-step explanation:

1. Find the slope of line NY

slope of NY = 5-(-7)/-11-5 = - 3/4

Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.

2.Find the slope of perpendicular lines

the inverse of negative slope of NY = - (-4/3) = 4/3

3 0
3 years ago
What is 3x² + 3x - 36 and x² - 3x - 28 in factored form?
satela [25.4K]

Answer:

3x² + 3x - 36=

(3x+12)(x-3)

x² - 3x - 28=

(x+4)(x-7)

Step-by-step explanation:

For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".

For more info on the cross method.

Here it is:

https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm

Hope you enjoyed :D

3 0
3 years ago
Read 2 more answers
0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl
balandron [24]

Answer:

<em>The first step is to determine the average </em>

x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475

<em>The exercise says it’s a normal distribution: (n=8)</em>

s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183

<em>According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained </em>

<em />

t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\  t= -0,3860

<em>The variable t has 7 grade to liberty, we calculate the p-value as: </em>

2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108

This value is very high, therefore the hypothesis is not rejected

7 0
3 years ago
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
Libby reads 32 pages in 16 minutes. how many pages can libby read in an hour?
aniked [119]
120 pages in one gour
5 0
2 years ago
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