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ss7ja [257]
3 years ago
8

How do you know a quadratic function has exactly one zero?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0

Answer:

b)

Step-by-step explanation:

y = x² + 6x + 9 = (x + 3)(x + 3)

(x + 3)(x + 3) = 0, x = - 3,

or

you can find  D =b² - 4ac

y = x² + 6x + 9

a = 1, b = 6, c = 9

D = 6² - 4*1*9 = 36- 36= 0

When D =0, a quadratic function has exactly one zero.

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HELP PLEASE <br><br>i dont understand at all...
bija089 [108]

An exponent signifies repeated multiplication.

x\cdot x\cdot x=x^{3}  the factor x is repeated 3 times

Exponents can be added and subtracted to express the effects of multiplication and division.

\dfrac{x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=\dfrac{x^{5}}{x^{3}}\\\\=\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x}\cdot x\cdot x=x\cdot x\\\\=x^{(5-3)}=x^{2}

The addition and subtraction of exponents works the same even when there are more denominator factors than numerator factors.

\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x\cdot x\cdot x}=\dfrac{x^{3}}{x^{5}}=\dfrac{1}{x^{2}}\\\\=x^{(3-5)}=x^{-2}

That is, a negative numerator exponent is the same as a positive denominator exponent and vice versa. You can move a factor with an exponent from denominator to numerator and change the sign of the exponent, and vice versa.

Your expression has 3 in the denominator with a negative exponent. It can be moved to the numerator and the exponent changed to positive:

\dfrac{1}{3^{-2}}=3^{2}\\\\=3\cdot 3=\bf{9}

8 0
3 years ago
Find the equation of a circle whose center is at (-3, 7) and radius is 9 units.
timurjin [86]

Answer:

(x + 3)² + (y - 7)² = 81

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

here (h, k ) = (- 3, 7 ) and r = 9 , then

(x - (- 3) )² + (y - 7)² = 9² , that is

(x + 3)² + (y - 7)² = 81

3 0
2 years ago
Read 2 more answers
long as 27 stickers, She gives 3 stickers to each of her friedns. Whith how many friends did Lin share her stickers.​
Ket [755]

Answer:

27 divided by 3 is =9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The current value of an investment is 25% more than its initial value. The increase in value is $10 million. What was the initia
katrin [286]
B is the answer ////////
7 0
3 years ago
Dennis wants to buy a card for his wife. Dennis calculates the amount of the card as $4.50. The actual price of a card is $4. Wh
Alex17521 [72]

Answer:

12.5%

Step-by-step explanation:

$4.50-$4/$4 x 100%

0.5/4x100%

50/4= 25/2 = 12.5%

8 0
3 years ago
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