How much paint would be needed to cover a sphere with a diameter of 3 centimeter

What is the minimum value of the function g(x) = x2 - 6x – 12?<br> -21<br> 3-21<br> 3<br> 3+21

balandron [24]

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

= (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

4 0

3 years ago

Which words name the shape ?

Montano1993 [528]

Answer:

D

Step-by-step explanation:

It's these shapes because:

Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.

Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.

3 0

3 years ago

Read 2 more answers

Lucy's lemonade stand has increasing profits each week during the hot summer months. Lucy finds that each week during the summer

Amiraneli [1.4K]

Answer: 200.6

Step-by-step explanation: 10% = .1

7 0

3 years ago

Carmen sells electronics. She made a 10% commission on every dollar sale that she makes. One month Carmen got a commission check

777dan777 [17]

Answer:

Carmen made $25,000 in sales in the month.

Step-by-step explanation:

To find the total number of sales, start with the amount she made in commission and then divide by the percentage of commission that she makes.

$2,500/10% = $25,000

7 0

3 years ago

Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la

myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

$\frac{178}{8}\,km = 22.25\,km$

Martin

$21\,km + \frac{3}{4}\,km = 21.75\,km$

Santiago

$21\,km + \frac{5}{12}\,km = 21.417\,km$

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

$x = 29.3\,km -22.25\,km$

$x = 7.05\,km$

Martin

$x = 29.3\,km - 21.75\,km$

$x = 7.55\,cm$

Santiago

$x = 29.3\,km - 21.417\,km$

$x = 7.883\,km$

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

$\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}$

$\bar x = 21.889\,km$

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

$x = 21.75\,km - 21.417\,km$

$x = 0.333\,km$

Martín recorrió 0.333 kilómetros más que Santiago.

3 0

3 years ago