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a mining company is mining silver. the relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function v(n) = 0.5n. additionally, the relationship between the amount of silver and the material mined is given by the function g(v) = 0.1v.

which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the anwers is yes.

they share a side

step-by-step explanation:

this is the fundamental definition of adjacent angles

they:

1) share a vertex

2) share a side.