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

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

y = x² + 6x + 9 = (x + 3)(x + 3)

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

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.

You might be interested in

In a market, 44 of the 80 types of vegetables are grown locally. What percent of the vegetables are grown locally? Identify the

VladimirAG [237]

44 is the part.
80 is the whole.

$\frac{44}{80} =\frac{x}{100}$

We need to cross multiply, which is: a/b = c/d ⇒ ad=bc

After cross multiplying, we get:

$44 \times 100 = 80 \times x\\\\4400 = 80x\\\\\sf{Divide ~80~ on~ both~ sides}\\\\\frac{80x}{80} =\frac{4400}{80}\\\\x =\frac{4400}{80} \\\\\boxed{\bf{52.3809524\approx 52.38}}$

Approximately 52.38% of the vegetables are grown locally.

5 0

3 years ago

*PLEASE HELP*

Evgesh-ka [11]

3^2+10^2=c^2

9+100=c^2

109=c^2

Square root both sides and you get:

10.44

(I’m pretty sure I’m right but make sure you double check good lucky

7 0

3 years ago

How do you graph y=2/3x-4

Masja [62]

━━━━━━━☆☆━━━━━━━

▹ Answer

You can use a graphing calculator.