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jarptica [38.1K]
3 years ago
5

Which of the following graphs is described by the function given below? y = 2x^2 + 8x +3

Mathematics
2 answers:
Masja [62]3 years ago
8 0

Answer:

A

Step-by-step explanation:

y = 2x² + 8x + 3

Complete the square:

y = 2(x² + 4x) + 3

y = 2(x² + 4x + 4) + 3 - 2(4)

y = 2(x + 2)² - 5

So the vertex is at (-2, -5).  The graph must be Graph A.

Alekssandra [29.7K]3 years ago
3 0

Answer:

The answer is Graph (A.)

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Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3". To
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Answer:

Tom is incorrect

Step-by-step explanation:

The odds of getting any number on a 6-sided die are 1:6

Every time he rolls, there is a 1:6 chance he gets any number.  Therefore, it is totally plausible to get the same number again.  As the number of rolls tends toward infinity, the ratio of each number occurring to number of rolls equals 1:6.  

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PLEASE HELP WITH EXPLAINING I WILL MARK BRAINIES!!!
Drupady [299]

Answer: 3 mph

Step-by-step explanation:

1. 1/2 mph for 1/2 an hour as they said, meaning that they would've walked for 3 miles kn an hour.

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3 years ago
The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?
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For z and x to be inversely proportional, there must be some constant k such that

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8 0
3 years ago
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c
GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor (F), en newtons, es:

F = m\cdot a (1)

Donde:

m - Masa, en kilogramos.

a - Aceleración, en metros por segundo cuadrado.

Si sabemos que m = 150\,kg y a = 4\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = 600\,N

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que m = 150\,kg y a = -6\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = -900\,N

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

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3 years ago
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