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2 years ago

Which graph matches the equation y+3=2(x+3)?

Mathematics

2 answers:

Deffense [45]2 years ago

4 0

Answer:

The leftmost graph [with the points (-3,-3) and (0,3)]

Step-by-step explanation:

y+3=2(x+3)

y+3=2x+6

y=2x+3

The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).

Irina18 [472]2 years ago

4 0

Answer:

Step-by-step explanation:

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Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be

stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence Year seen Difference

1 1949 -

2 1956 1956 - 1949 = 7

3 1963 1963 - 1956 = 7

4 1970 1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = $\frac{56}{7}=8$ times

Total number of comet seen in the lifetime = 8 times

5 0

2 years ago

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta cor

s2008m [1.1K]

Complete question:

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta correcta se asignan 5 puntos y por cada incorrecta (o no contestada) se restan 2 puntos. Si un participante obtuvo un puntaje de 94 puntos, ¿cuantas preguntas respondió bien?

Responder:

número de respuestas correctas = 22

Explicación paso a paso:

Dado lo siguiente:

Número total de preguntas = 30

Deje respuestas correctas = y; Respuestas incorrectas = n

Marca otorgada por y = 5

Marca deducida por n = 2

Si el total de preguntas = 30; luego

y + n = 30 - - - - (1)

Puntuación total obtenida = 94; luego

5y - 2n = 94 - - - (2)

De 1),

y + n = 30

y = 30 - n

Sustituya y = 30 - n en equ (2)

5 (30 - n) - 2n = 94

150 - 5n - 2n = 94

150 - 7n = 94

-7n = 94-150

-7n = - 56

n = 56/7

n = 8

Sustituir n = 8 en (1)

y + n = 30

y + 8 = 30

y = 30 - 8

y = 22

y = número de respuestas correctas = 22

n = número de respuestas incorrectas = 8

3 0

2 years ago

Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2

Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

An exterior angle is the angle between one side of a triangle and the

extension of an adjacent side

The measure of an exterior angle at any vertex of a triangle equal the

sum of the measures of the two opposite interior angles

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ as the rule above

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0

2 years ago

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Robbie went parasailing. his sail reached 141 feet. it descended 22 feet before staying in the same place for 10 minutes. what w

mash [69]

141 minus 22 equals 119

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2 years ago

92 divided by 11 with remainder

Jet001 [13]

Answer:

8 remainder 4

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2 years ago