(x - 2)(6-4X)+(5x + 4)(x -2)

Part : Find g(x) by identifying the function you are taking the square root of

aksik [14]

Answer:

g(x) = (3x-4)

Step-by-step explanation:

F(x) = sqrt( 3x-4)

We are taking the square root of (3x-4)

so g(x) = (3x-4)

4 0

3 years ago

Find the area of the irregular shape. Round to the nearest tenth.

svp [43]

Given:
Irregular Shape:
Semi-circle and rectangle:

Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2

Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.

Total area = 40 cm² + 25.12 cm² = 65.12 cm²

3 0

3 years ago

Ron walks 0.5 mile on a track in 10 minutes. Stevie walks 0.25 mile on the track in 6 minutes find the unit rate for each walker

Firlakuza [10]

Answer:

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

Step-by-step explanation:

Given:

Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles

Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles

To find their unit rates in mile per hour and choose the faster one.

Solution:

Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.

Ron:

Distance= 0.5 miles

Time = 10 minutes = $10\ min\times \frac{1\ hr}{60\ min}=\frac{1}{6}$ hours

Speed = $\frac{Distance}{Time}=\frac{0.5}{\frac{1}{6}}=0.5\times6=3\ miles/hour$

Stevie

Distance = 0.25 miles

Time = 6 minutes = $6\ min\times \frac{1\ hr}{60\ min}=\frac{1}{10}$ hours

Speed = $\frac{Distance}{Time}=\frac{0.25}{\frac{1}{10}}=0.25\times10=2.5\ miles/hour$

Thus, we have

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

4 0

3 years ago

The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?

Artyom0805 [142]

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends 30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

6 0

2 years ago

En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,

Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

4 0

3 years ago