The missing value of the solution to the equation y = −2x + 4, is: 3.
<h3>What is the Solution to an Equation?</h3>
The solution to a given equation, is the x and y values of an ordered pair that would make the equation true, if we substitute their values into the equation.
Given the equation, y = -2x + 4, and we have (x, -2) as the solution where the value of x is the missing value in the solution, to find the value of x, substitute y = -2 into the equation and solve for x:
-2 = -2x + 4
Subtract 4 from both sides
-2 - 4 = -2x + 4 - 4 (subtraction property of equality)
-6 = -2x
Divide both sides by -2
-6/-2 = -2x/-2
3 = x
x = 3
Therefore, the missing value is: 3.
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The heads probability is ½ and the two’s probability is 1/6. So ½ x 1/6 gives you 1/12. The answer is A. 1/12. Hope this helps.
Check the picture below, is a negative angle, thus, is going "clockwise"
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
