All categories

3 years ago

What is the vertex of the function f(x) = x2 + 12x?

1 answer:

7 0

We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6) = 36 - 72 = -36

Therefore vertex is (-6, -36).

You might be interested in

Which equation is correct

Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.

The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.

Then, according to the figure we have:

$Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}$

Answer:

$Sin (G) = \frac {15} {17}$

Option D

5 0

3 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

$\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3$

Therefore, the volume of the prism is $200\ cm^3$ .

7 0

3 years ago

Whats the answer for 10x+5>25

jok3333 [9.3K]

Answer:

3 (or x > 2)

Step-by-step explanation:

If your answer is only taking integers, then the first integer that would make this statement true would be 3. If it's for any numerical value, then the inequality would be true for any value above 2.

6 0

2 years ago

Read 2 more answers

PLS I NEED HELP!!! What is the equivalent Celsius temperature to 120 degrees Fahrenheit? Rearrange and use the formula F = (9/5)

Murrr4er [49]

Answer:

49.8 degrees celcius

Step-by-step explanation:

3 0

3 years ago

The total dinner bill at a buffet came out to $589 for 31 people.About how much was the buffet cost per person?

mihalych1998 [28]

Answer:

19 dollars

Step-by-step explanation:

To find out how much the cost was for each person, you take the total cost and divide by the number of people...

589/31

=19

3 0

3 years ago