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3 years ago

What is the vertex for the following quadratic? f(x)= 2x^2-12x+16

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16 [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

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Evaluate each expression if a = 6, b = 3, and c = 2.

earnstyle [38]

Answer:

a = 6, b = 3, and c = 2

1. ab1 = 6 × 3 × 1 = 18

2. c + 42 = 2 + 42 = 44

3. 18 = 18

4. a − b4 = 6 - 3(4) = 6 - 12 = - 6

5. 2c3 = 2 × 2 × 3 = 12

6. b ÷ 35 = 3÷35 = 0.086

7. a − 1 6 = 6 - 16 = -10

8. 6 + c8 = 6 + 2 (8) = 6 + 16 = 22

Step-by-step explanation:

7 0

3 years ago

Please answer this correctly

meriva

Answer:

33.3%

Step-by-step explanation:

The numbers greater than 6 from the spinner are 7 and 8.

2 numbers out of total 6 numbers.

2/6 = 1/3

= 0.333

= 33.3%

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3 years ago

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Gwar [14]

So what do you need us to do for you?

4 0

3 years ago

Determine the slope of the line that contains the points A(0, 2) and B(7,3). *

IgorC [24]

<h3>Given points:-</h3>

A (0,2)
B (7,3)

We know that

${\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}$

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}$

$\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}$

5 0

3 years ago

At a bus station, buses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in one h

Genrish500 [490]

Answer:

i think it is 18 but i may be wrong

Step-by-step explanation:

3 every 10 minutes

10 x 6 is an hour so you have to multiply 3 by 6 as well

3 x 6 is 18

3 0

3 years ago

Read 2 more answers