What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
Answer:
1,500
Step-by-step explanation:
Ratio of Sugar to Flour: 5:8 -> 25:40
Ratio of Flour to Baking Soda: 10:1 -> 40:4
Sugar to Flour to Soda: 25x:40x:4x
= 
-> x = 60
Sugar = 25x = 1,500
Hope this helps :)
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Find constant a.
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Given that g(4) = 8
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Substitute x = 4
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g(4) = a(4)² + 24 = 8
16a + 24 = 8
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Take away 24 from both sides
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16a = 8 - 24
16a = -16
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Divide by 16 on both sides
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a = -1
Now that we know that a = -1, plug it back to the equation.
g(x) = -x² + 24
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Find g(-4)
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g(-4) = - (-4)² + 24
g(-4) = -16 + 24
g(-4) = 8
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Answer: 8
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Answer:
108ft²
Step-by-step explanation:
6×6=36
12×12=144
144-36=108ft for the shaded part
The value of the digit is 2 because the value of the 3 is 30 (tens) and if you go one place down you are in the ones
