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2 years ago

Find an equivalent system of equations for the following system: 2x + 4y = 4 -5x + 5y = 5

Mathematics

2 answers:

UNO [17]2 years ago

8 0

Answer:

Step-by-step explanation:

x + 2y = 2

-1x + 1y = 5 Is not the correct answer!!!

The options are

a) 2x + 4y = 4

-3x +y = -1

b) 2x + 4y = 4

7x + 5y = -1

c) 2x + 4y = 4

7x - y = 5

d) 2x + 4y = 4

7x - y = -1

tamaranim1 [39]2 years ago

5 0

Answer:

x+2y=2

-1x+1y=5

Step-by-step explanation:

Any system whose equations have the following characteristic

x+2y=2

-1x+1y=1

Is equivalent to the original system, since the differ in a number, the first equation is divided by 2 and the second by 5, we can say any system is equivalent to the original when it is escalated by a factor between its functions.

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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:

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

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3 years ago

When factored completely, X^3-7x^2-30x

sweet-ann [11.9K]

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

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2 years ago

In isosceles triangle ABC, AB=AC.If B=55, calculate A

den301095 [7]

Answer: ∠A = 70°

because ABC is an isosceles triangle and AB = AC

=> ∠B = ∠C = 55°

=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "One-half of my cats plus two."

mixer [17]

I got ten. Here's the equation.

x = 1/2x + 5

Subtract 1/2x from both sides to get all x's on one side 

x - 1/2x = 1/2x - 1/2x + 5 

1/2x = 5 

Now multiple the left by 2 to get x, but since it's an equation, you need to also multiply the right by 2 to keep it =. 

2 * 1/2x = 2 * 5 

x = 10 cats

4 0

2 years ago

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Barry Road his scooter for 24 minutes at a speed of 0.5 per minute how far did he go

liraira [26]

Well, I'm not sure what units "0.5" apply to, but to find the distance he rode, you will need to multiply.

0.5 * 24 = 12.

Barry rode his scooter for a distance of 12 [insert units here].

Hope this helps! Have a great day :)

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2 years ago