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icang [17]
3 years ago
6

Subtract (-9x^2+8x-14) from the sum of (-9x^2-10x) and (3x^2+3x+7)​

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)

Step-by-step explanation:

First we will find sum of (-9x^2-10x)\,\, and\,\, (3x^2+3x+7)

Adding the like terms:

= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7

Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)

=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)

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Answer:

b^2-4ac>0 yields 2 real roots

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

• b^2-4ac>0 yields 2 real roots

• b^2-4ac=0 yields 1 real root

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Example:

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b^2-4ac=(-7)^2-4(4)(2)=49-32=17.

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5 0
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A car traveling at a rate of 54 miles per hour. What is the car's rate in feet per secondHow many fect will the car travel in 2
Lena [83]

The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.

Car's speed in miles per hour = 54 miles per hour

Recall :

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Car's rate in feet per second

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  • Distance in 2 seconds :
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Therefore, the car will cover a distance of 158.4 feets in 2 seconds.

Learn more :brainly.com/question/23774048

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