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suter [353]
3 years ago
13

Find the set of values of k for which the y = kx – 4 intersects the curve of y = x2 – 2x at two distinct points.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

For ax^2+bx+c=0,

x^2+x(-2-k)+4=0,

So, b=-2-k,

a=1, c=4, so

(-2-k)^2-(4*1*4)>0,

4+4k+k^2-16>0,

k*2+4k-12>0,

(k+6)*(k-2)>0,

the points of interest are

k=-6, k=2, so

look at k<-6, -6<k<2, and

k>2.

Just plug in values for each

interval and you will see

that k<-6 and k>2.

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The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand
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Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

4 0
3 years ago
What does 170/100 equal in decimals?
astraxan [27]
It equals 1.7 because you're moving the decimal point by two places, when dividing by 100
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The reduced fraction of 1902/21
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Jobisdone [24]

Answer:

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Step-by-step explanation:

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After 1 hour, f(x)=f(1)=120-25=95

So in 1 hour, the ship has traveled 120-95=25 miles.


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Answer:

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Step-by-step explanation:

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