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makkiz [27]
3 years ago
15

Simplify 4(5x - 6) - 4(2x + 1) 12 x - 5 12 x - 20 12 x - 28

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

\huge{ \fbox{ \sf{12x - 28}}}

Step-by-step explanation:

\star{ \sf{ \:  \: 4(5x - 6) - 4(2x + 1)}}

\text{Step \: 1 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 4(2x + 1)}}

\text{Step \: 2 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 8x - 4}}

\text{Step \: 3 \:  : Collect \: like \: terms}

\text{Like \: terms \: are \: those \: which \: have \: same \: base}

\mapsto{ \sf{20x - 8x - 24 - 4}}

\mapsto{ \sf{12x - 24 - 4}}

\text{Step \: 4 \:  : Calculate}

\underline{ \sf{Remember!}} :  \sf{The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign}

\mapsto{ \sf{12x - 28}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

xxTIMURxx [149]3 years ago
3 0

Answer:

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

20x - 24 - 8x - 4

12x - 28

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A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
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The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
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