What is the trend of the graph of the linear equation -3y = 12

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What is the trend of the graph of the linear equation -3y = 12

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Step-by-step explanation:

Explanation is in the file

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weight/muscle

y = 0.4x

a 170 pounds will have 68 pounds of muscle

heights/weights

y = 7x-338

68 inches weights 138 pounds

year/college

y = 120 x t + 13,200

beging the base the year 2000 2015 will be t = 15

at t =10 14,400

kwh/ cost

y = 0.18 x + 10

y = 0.18 x 400kwh + 10 = 82

coffe cups/cost

y = 3 x + 1000

at x = 100

it will sale 1300 coups of coffee

Explanation:

[tex]\\y = ax + b\\\frac{y_2-y_1}{x_2 - x_1} = a[/tex]

(72-60)/(180-150) = 12/30 = 0.4

y = ax + b

60 = 0.4 x 150 + b

b = 60-60 = 0

170 x 0.4 + 0 = 68

(180 - 110)/(74 - 64) = 70 / 10 = 7

180 = 7 x 74 + b

b = -338

7x68 - 338 = 138 pounds

(15000 - 13200) /( 2015 - 2000) = 120

13200 + 120 x 10 = 14,400

(118 - 55)/(600 - 250) = 0.18

118 - 0.18 x 600 = b

b = 10

150/0 = 3

y = 3 x + 1000

y = 3 (100) + 1,000 = 1,300

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Step-by-step explanation:

-3y = 12

y = -12/3 = -4

this line is a horizontal line, with all points on the line having the y coordinate = -4

so, the functional value of that equation is a constant (-4) for every and all values of x possible.

therefore, the trend for the graph of increasing x is also constant : it will always stay flat at y = -4

b. the ENE-trending Gulf of Aden is a linear sea that is opening in a NNE-SSW direction.

Explanation:

The gulf of Aden is a deepwater gulf that has Yemen in the north and the Arabian Sea in the east. On northwest lies the red sea, being a young and narrow oceanic basin has a rift margin in Arabic and Somali plate. Has a mean oriented to northeast The eastern African rift, red sea, and gulf of Aden forms the afra tri junction system that runs about 2000 km.

d. the volcanoes in Africa define a volcanic arc related to subduction off Africa's east coast

Explanation:

Many crust plates move over the mantle. These plates are limited by three types of ridges or borders that differ in the movement they produce.

Boundaries types: Divergent, Convergent, and Transforming.

Divergent boundary: Occurs along with an underwater mountain range, known as the mid-oceanic ridge or divergent ridge. New crust is created by the molten materials rising from the mantle. The two plates at each side of the rift separate, and the stream of hot material creates a new seabed between them. It occurs an expansion of the sea bottom, which separates the plates. The divergence direction is transversal to the rift orientation. Old plates get separated, and the new crust instantaneously gets formed. The emerging mantle occupies the space left by the separation of the two plates.

a. the NW-trending Red Sea is a linear sea that is opening in a NE-SW direction. CORRECT → The diverging direction is perpendicular to the rift orientation.

b. the ENE-trending Gulf of Aden is a linear sea that is opening in a NNE-SSW direction. CORRECT

c. the volcanoes in Africa define a narrow linear rift that is opening in a NW-SE direction. CORRECT.

d. the volcanoes in Africa define a volcanic arc related to subduction off Africa's east coast ⇒ INCORRECT. The collision between plates creates volcanic arches and continental arches. This process belongs to the convergent boundaries, in which two oceanic plates collide, or one oceanic plate crushes with a continental one.