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Anna11 [10]
3 years ago
12

Y=2x-3 y=x+2 system of equations

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

x = 5

y = 7

Step-by-step explanation:

<em>Since they are both equal to </em><em>y</em><em>, we can set them equal to each other.</em>

2x - 3 = x + 2

<em>Combine like terms and isolate the </em><em>x</em><em>.</em>

x = 5

<em>Plug in the x to either equation to get the value of </em><em>y</em><em>.</em>

y = (5) + 2

y = 7

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4x+1+8-x+5x-2=23 linear equations
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Step-by-step explanation:

= 4x-x+5x+1+8-2

=8x+7

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5 0
3 years ago
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

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2 years ago
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Yes . I think not sure
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2 years ago
Write an algebraic expression that models the situation “the piggy bank contained $25, and $1.50 is added each day.” Use d to re
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the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d

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