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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

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