1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
First, distribute the 2.
2x+6=6+2x
These are the same, so therefore it is infinitely many, because whatever you plug in for x will work.
Answer
g(x) = x^3 − x^2 − 4x + 4
End behavior- Falls to the left rises to the right
y intercept-(0, 4)
Zeros- (1,-2,2)
g(x) = x^3 + 2x^2 − 9x − 18
End behavior- Falls to the left rises on the right
y intercept- (0,-18)
Zeros- (-2,-3,3)
g(x) = x^3 − 3x^2 − 4x + 12
End behavior-Falls to the left rises to the right
y intercept-(0,12)
Zeros- (3,-2,2)
g(x) = x^3 + 2x^2 − 25x − 50
End behavior- falls to the left rises to the right
y intercept(0,-50)
Zeros- (-2,-5,5)
g(x) = 2x^3 + 14x^2 − 2x − 14
End behavior- falls to the left rises to the right
y intercept-(0,-14)
Zeros- (-7,-1,1)
Step-by-step explanation:
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Answer:
-t
Step-by-step explanation:
Additive inverse of t:
t*-1 = -t
Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. \(12\)
Step-by-step explanation:
