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Answer:
B. y = -3/4x + 5/2
Step-by-step explanation:
Take two points from the graph, let's use (-2, 4) and (2, 1):
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (2 - (-2))
= -3/4
Find y-intercept using slope above and anyone point:
y = mx + b
(1) = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Equation of line using m and b above:
y = mx + b
y = -3/4x + 5/2
Answer:
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Step-by-step explanation:
Express 27 in terms of cubes, 27 = 3³:

From trinomial expansion:

open first two brackets to get a quadratic equation:

expand further:

take y to be 3, then substitute:

Answer:
x = 30
Step-by-step explanation:
in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )
we will first of all open the brackets and then evaluate for the value of x by combining the like terms.
from 6 ( x − 2 ) = 8 ( x − 9 )
6x -12 = 8x -72
combine the like terms
6x - 12 + 72 = 8x
-12 + 72 = 8x -6x
60 = 2x
divide both sides by the coefficient of x which is 2
60/2 = 2x/2
30 = x
x = 30
therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30
7/36
Multiply the top together and then the bottom together and the final numbers on top and bottom is your answer.