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Phoenix [80]
2 years ago
15

Choose the best graph that represents the linear equation: -2y = x + 6

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
4 0

Answer:

graph A

Step-by-step explanation:

it goes through -6 and -3

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A CD player is on sale for $90 at an electronics store. If the original price was $125, what was the percent of discount
krek1111 [17]
This is the working of how it is 28% discount

Find the amount of discount : $125 - $90 = $35
Divide by the original price : $35/125 = 0.28
Change in to percentage : 0.28 x 100 = 28%

Therefore the percentage discount is 28% off

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8 0
3 years ago
F(x) = lnx/x
My name is Ann [436]
f(x) = \frac{lnx}{x}

(a) f'(x) = \frac{d}{dx}[\frac{lnx}{x}]
Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
\frac{1 - lnx}{x} = 0
lnx = 1, x = e

(b) <em>Deduce:
</em>e^{x} \geq x^{e}, x > 0
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
\frac{ln(e)}{e} \geq \frac{lnx}{x}
\frac{1}{e} \geq \frac{lnx}{x}, since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
x \geq elnx
x \geq ln(x^{e})

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
e^{x} \geq e^{ln(x^{e}})
e^{x} \geq x^{e}, as required.
3 0
3 years ago
Oscar’s family lives 24 kilometers from the riding stable. They have traveled 5,000 meters. How many more kilometers are left be
xeze [42]

1000 m = 1 km

5000 m = 5 km

They have traveled 5 km so far.

Subtract what they traveled from total distance:

24-5 = 19 km left.

6 0
2 years ago
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mash [69]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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GarryVolchara [31]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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