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iris [78.8K]
3 years ago
14

Simplfy

2x\frac{x}{y}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

8x-5+2x\dfrac{x}{y} = \dfrac{8xy-5y+2x^2}{y}

Step-by-step explanation:

In this question, we need to simplify 8x-5+2x\dfrac{x}{y}

We can convert elements to fractions.

8x=\dfrac{8xy}{y},\:5=\dfrac{5y}{y}

= \dfrac{8xy}{y}-\dfrac{5y}{y}+\dfrac{2x^2}{y}

As the denominators are equal, we can combine the fractions as follows :

=\dfrac{8xy-5y+2x^2}{y}

Hence, the simplified form is : 8x-5+2x\dfrac{x}{y} = \dfrac{8xy-5y+2x^2}{y}

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The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Write an expo
xeze [42]
<h2>Hello!</h2>

The answer is:

In 2036 there will be a population of 32309 rabbits.

<h2>Why?</h2>

We can calculate the exponential decay using the following function:

P(t)=StartAmount*(1-\frac{percent}{100})^{t}

Where,

Start Amount, is the starting value or amount.

Percent, is the decay rate.

t, is the time elapsed.

We are given:

StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years

Now, substituting it into the equation, we have:

P(t)=StartAmount(1-\frac{percent}{100})^{t}

P(t)=144000*(1-\frac{7.2}{100})^{20}

P(t)=144000*(1-0.072)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*0.861=32308.888=32309

Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

5 0
3 years ago
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Phantasy [73]
-2(-2)^4 + 5(-2)^2 - 4

-2(-2)= 4. 4^4= 16

5(-2)= -10. -10^2= 100 - 4= 96

96 + 16= 112

Answer: 112
8 0
3 years ago
Solve for x. 7 + 11x + 60 = -13 + 3x
Snowcat [4.5K]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

7 + 11x + 60 = -13 + 3x

Step 2: Solve for <em>x</em>

  1. Combine like terms: 11x + 67 = -13 + 3x
  2. Subtract 3x on both sides: 8x + 67 = -13
  3. Subtract 67 on both sides: 8x = -80
  4. Divide both sides by 8: x = -10

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

7 + 11(-10) + 60 = -13 + 3(-10)

67 - 110 = -13 - 30

-43 = -43

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3 years ago
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Answer:

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Step-by-step explanation:

it is the same exact equation, but backwards. Hope that this helps you and have a great day :)

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