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Vera_Pavlovna [14]
2 years ago
14

Find the solution of the system of equations. 4x – y = -32 16x – 3y = -124

Mathematics
1 answer:
MariettaO [177]2 years ago
8 0
The answer issss -7 , 4
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Evaluate the limit as x approaches 1 of the quotient of the square root of the quantity x squared plus 3 minus 2 and the quantit
IgorLugansk [536]
A graph shows the limit to be 1/2.
https://www.desmos.com/calculator/qrf6ay47tw

Since the value of the function is the indeterminate form 0/0, L'Hôpital's rule applies. The ratio of derivatives of numerator and denominator is
.. x/\sqrt{x^{2}+3 }
Evaluated at x=1, this is
.. 1/\sqrt{1^{2}+3 } = 1/2
5 0
3 years ago
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

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

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
3 years ago
I need help on this one it stumped me
tiny-mole [99]
The answer is x < 5 and x > -13.

Let me know if you need the explanation! Tell me if you need more help.
4 0
4 years ago
Use the distributive property do you to write the express 1/2 4x-6y
IceJOKER [234]
1/2(4x-6y)
You just multiply 1/4 by every term in the parenthesis 
4 times 1/2 is 2 
-6 times 1/2 is -3
The answer is 2x -3y 

8 0
3 years ago
Movies are on sale for 3/4 the original price. If the original price is $16, what is the sale price?
Nesterboy [21]

If the original price is 16, then 3/4 of 16 is 12.

$12


Dividing 16 by 4 (the denominator), you get 4. Then 4 x 3 (the numerator) is 12.

5 0
3 years ago
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