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qwelly [4]
3 years ago
11

Anybody know the answer I need help. Please

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

  \dfrac{p^2+9p+2}{p^2-49}

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  \dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}

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Can you break down how this equation was solved?
dolphi86 [110]
Yes! Let me help you!

Here is the original equation, lets solve this step-by-step

(x + 2)/4 = 5

Now, lets find out how. 

We must apply the inverse operation. 

4/2 is the reciprocal, so lets multiply that to both sides. 

4/2 = 2
5*4 = 20

4x + 8 = 20
      -8      -8            Subtract 8 from both sides. (Inverse operation) 

4x = 12
4x/4  = 12/4             Divide 4 by both sides (Inverse)

x = 12/4
x = 3           Simplified

Answer:  x = 3
3 0
3 years ago
Read 2 more answers
1. The number of rabbits on an island is increasing exponentially.
Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

50=P_o(1+r)^1

50=P_o(1+r)\qquad\qquad[1]

72=P_o(1+r)^5\qquad\qquad[2]

Dividing [2] by [1]:

\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}

Solving for r:

\displaystyle r=\sqrt[4]{\frac{72}{50}}-1

Calculating:

r=0.095445

From [1], solve for Po:

\displaystyle P_o=\frac{72}{(1+r)^5}

\displaystyle P_o=\frac{72}{(1.095445)^5}

P_o=45.64355

The model can be written now as:

P=45.64355(1.095445)^t

In year t=10, the population of rabbits is:

P=45.64355(1.095445)^{10}

P = 113.6

P\approx 114

There are approximately 114 rabbits in the year 10

5 0
3 years ago
Write twelve and five hundred ninety nine thousandths in standard form
stellarik [79]
12.599
Hope this helps!
7 0
3 years ago
Read 2 more answers
Please help
murzikaleks [220]

Answer:

$74.41

Step-by-step explanation:

x = Amount of money Sylvia had in her account

Amount of money spent at the Grocery Store= $25.89

Remaining Amount of money after Grocery = $48.52

Hence, By adding the two amount above we get the amount Sylvia had in her account before grocery;

x = $25.89 + $48.52

x = $74.41

6 0
3 years ago
What is the value of 1 x ÷ 5, when x = 80?
SVEN [57.7K]
The answer is 16
80/5=16
3 0
3 years ago
Read 2 more answers
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