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svet-max [94.6K]
3 years ago
12

(28 POINTS)

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

(a) -\sqrt{10}y

(b) -\sqrt{3}y

Step-by-step explanation:

(a) \sqrt{10y^{2}} can also be written as \sqrt{10} x \sqrt{y^{2}}

the \sqrt{y^{2}} = ± y

Therefore :

\sqrt{10y^{2}} = ±\sqrt{10}y

since it was given that y < 0 , then the factor will be -\sqrt{10}y

(b) \sqrt{3y^{2}} can also be written as : \sqrt{3} x \sqrt{y^{2}}

Therefore , one of the factor is -\sqrt{3}y

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emmasim [6.3K]

Answer:it should be B and D

Step-by-step explanation:

B could be rotated clockwise and D could be rotated clockwise as well.

8 0
3 years ago
Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
3 years ago
Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choi
shusha [124]

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

  • water, iced tea, or lemonade (3 options)
  • with lemon or lime twist (2 options)
  • served in a small or large glass (2 options)

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

5 0
3 years ago
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Yuliya22 [10]

Answer:

d= +3

Step-by-step explanation:

1st term = -19

2nd term = -16

d = 2nd - 1st

d= -16-(-19)

d = +3

4 0
3 years ago
For a consumer to obtain a 10% discount, he must spend an amount
DENIUS [597]

Answer:

the answer is 180 dollars

Step-by-step explanation:

20 is 10% of 200 so just subtract that

3 0
2 years ago
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