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Stolb23 [73]
3 years ago
8

Determine the value of k for which -3x^2+12x+k=0 has no real roots. ​

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

K<-12

Step-by-step explanation:

+ For that, we need the delta negatif.

+ The delta= b^2-4ac=12^2-4(-3)(k)=144+12k<0

Then, 12k<-144 (divise both sides by 12)

we have k<-12

Or an other way:

-3x^2+12x+k=0  (divise both sides by -3)

x^2-4x-k/3=0

x^2-4x+4 -4-k/3=0

(x-2)^2=4+k/3

Now , we need 4+k/3<0, k/3<-4 or k<-12

Hope you understand.

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Answer:

The dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.

Step-by-step explanation:

Since an artist combines copper and other metals to make bronze, and a bronze sculpture of a dolphin contains 43 g of copper for every 7 g of other metals, while a bronze sculpture of a bird contains 83 g of copper for every 17 g of other metals, to determine which sculpture is more coppery the following calculation must be performed:

Dolphin:

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Bird:

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100 = 100

83 = X

83 x 100/100 = X

83 = X

Therefore, the dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.

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