3 years ago

The function f(x) = 3x² + 12x +11 can be written in

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

3) f(x) = 3(x + 2)^2 - 1.

Step-by-step explanation:

f(x) = 3x² + 12x +11

f(x) = 3(x^2 + 4x) + 11 Completing the square:

f(x) = 3[(x + 2)^2 - 4] + 11

f(x) = 3(x + 2)^2 -+3*-4 + 11

f(x) = 3(x + 2)^2 - 12 + 11

f(x) = 3(x + 2)^2 - 1.

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Light travels about 180 million kilometers in 10 minutes. How far does it travel in 1 minute ? How far does it travel in 1 secon

daser333 [38]

Answer:18 million and 300000

Step-by-step explanation:

Since light travels 180 million KM in 10 min, it would travel 180 million/10 in one minute. Thus, we get 18 million. As we know, there are 60 seconds in a min. Thus, there are 60*10=600 seconds in 10 minutes. Thus, 180 million/600 gives 300000

7 0

3 years ago

Read 2 more answers

PLEASE RESPOND ASAP!!what is the value of z in the figure below??

Nookie1986 [14]

Answer:

126

Step-by-step explanation:

By cyclic quadrilateral theorem:

$(180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126$