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3 years ago

What is the sum? StartFraction 3 Over x squared minus 9 EndFraction + StartFraction 5 Over x + 3 EndFraction

Mathematics

2 answers:

Karolina [17]3 years ago

8 0

Answer:

The answer is:

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

Step-by-step explanation:

$\frac{3}{x ^{2} - 9} + \frac{5}{x + 3}$

First, we have to make the denorminator same by multiplying:

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

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

Then, we can add up everything together:

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

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

(Sorry if being messy)

Fed [463]3 years ago

5 0

Answer:

Its D on egedenuity

Step-by-step explanation:

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Problem 1: 2x > 4x - 6 problem 2: -3r < 10 - r problem 3: 5c - 4 > 8c + 2

Trava [24]

Problem 1: 2x > 4x - 6
2x < 6
x < 3

problem 2: -3r < 10 - r
-2r < 10
r > -5

problem 3: 5c - 4 > 8c + 2
3c < -6
c < -2

8 0

3 years ago

18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of

AnnyKZ [126]

Answer:

$\$20,400$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?$

substitute in the formula above and solve for r

$\$21,600=\$18,000(1+4r)$

$1.2=(1+4r)$

$4r=1.2-1$

$r=0.2/4=0.05$

The rate of interest is $5\%$

step 2

Find the sum of money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

$t=5\ years\\ P=?\\ A=\$25,500\\r=0.05$

substitute in the formula above and solve for P

$\$25,500=P(1+0.05*5)$

$P=\$25,500/(1.25)=\$20,400$

3 0

3 years ago

Factorization for the monomial <img src="https://tex.z-dn.net/?f=48x%5E%7B10%7D" id="TexFormula1" title="48x^{10}" alt="48x^

Schach [20]

Answer:

Some of the possible factorizations of the monomial given are:

$(16x^5)(3x^5)$

$(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)$

Step-by-step explanation:

To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

$48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x$

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:

$(2^4x^5)(3x^5)$

$(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)$

3 0

3 years ago

Read 2 more answers

Solve equation (n-1)(n+6)(n+5)=0

Vika [28.1K]

Answer:
1, -6 and -5

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
The equation given is:
(n-1) (n+6) (n+5) = 0
This equation will be true if any of the terms (brackets) is equal to zero.
This means that:
either n-1 = 0 .............> n = 1
or n + 6 = 0 ................> n = -6
or n + 5 = 0 ................> n = -5

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Doña Mercedes' debt can be paid in 32 weeks, as long as $ 50 is paid in the first week, $ 80 in the second week, $ 110 in the th

KengaRu [80]

Answer:

Step-by-step explanation:

that is all

8 0

3 years ago