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3 years ago

How do you factor trinomials?

1 answer:

5 0

1. identify the abc... ax^2+bx+c
2. write down all the factor pairs of C
3. identify which factor pairs from the previous step sums up to letter B
4.subsitute factor pairs in 2 binomials :)

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Plutonium-240 decays according to the function L where o

PIT_PIT [208]

Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$

8 0

3 years ago

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.

Nimfa-mama [501]

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

$\dfrac{x}{2}=67.3$

This the equation for the given statement.

It can also be written as :

$x=2\times 67.3\\\\x=134.6$

Hence, this is the required solution.

4 0

3 years ago

I need help ASAP. Thank you

Fed [463]

Here is the link to the graph. You can scale it and tweak it.
https://www.desmos.com/calculator/mawkflj9ws

Hope this helped!

8 0

3 years ago

Evalute the experssion -280+12x=

Alina [70]

The answer is 23 1/3. First, you need to add 280 to both sides of the equations in order cancel out 280 and get 12x by itself. But remember whatever you do to one side of an equation, you must to do the other. So now you have 12x=280. Now divide both sides of the equation by 12 in order to get x completely isolated. 280 divided by twelve is 23 1/3.

4 0

3 years ago

Need help quickly its hard

kaheart [24]

Answer:

1-3x+8y

Step-by-step explanation:

Multiply y and 2

Multiply y and 1

The y just gets copied along.

2*y evaluates to 2y

Multiply x and 4

Multiply x and 1

The x just gets copied along.

The answer is x

4*x evaluates to 4x

2*y-4*x evaluates to 2y-4x

The answer is 2y-4x+8

2*y-4*x+8 evaluates to 2y-4x+8

Multiply y and 6

Multiply y and 1

The y just gets copied along.

The answer is y

6*y evaluates to 6y

2y + 6y = 8y

The answer is 8y-4x+8

2*y-4*x+8+6*y evaluates to 8y-4x+8

-4x + x = -3x

The answer is -3x+8y+8

2*y-4*x+8+6*y+x evaluates to -3x+8y+8

8 - 7 = 1

The answer is 1-3x+8y

2*y-4*x+8+6*y+x-7 evaluates to 1-3x+8y

6 0

3 years ago