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2 years ago

Find the equation of the line. Use exact numbers. y= ( )x + ( )

Mathematics

1 answer:

Rama09 [41]2 years ago

6 0

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

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A jar contains 4 blue marbles, 6 red marbles, 10 purple

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$\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}$

Step-by-step explanation:

$5x^2-x^2e^{2x}+2e^{2x}=10$

$Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}$

Prologarithmize both parts of the equation:

$ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\$

Divide both parts of the equation by 2:

$\displaystyle\\x=\frac{ln5}{2}$

$t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}$

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11 months ago

(5×10^– 2)(1×10^– 8)

Citrus2011 [14]

Answer:

5e-10

Step-by-step explanation:

Hope this will help

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2 years ago

Read 2 more answers

2x-3y=-5 2x+y=7 what is the solution?

shusha [124]

Answer:

y = 3 and x = 2

Step-by-step explanation:

subtract the 2nd eqn from the first...

-4y = -12

y = 3

substitute the value of y into either of the eqns...

2x - 3(3) = -5

2x = 4

x = 2

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3 years ago