The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.
The associative property allows us to change the grouping of terms that are added together.
When changing the grouping, the order of the terms stays the same; only the parentheses change position.
The expression a + (b + c) + d is an equivalent expression.
The expression (a+ b) + c + d is an equivalent expression.
Given
Use the associative property to create equivalent expressions to a + b + (c + d).
<h3>Associative property;</h3>
Associative property explains that the addition and multiplication of numbers are possible regardless of how they are grouped.
The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.
- The associative property allows us to change the grouping of terms that are added together.
- When changing the grouping, the order of the terms stays the same; only the parentheses change position.
- The expression a + (b + c) + d is an equivalent expression.
- The expression (a+ b) + c + d is an equivalent expression.
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Add all the number the points are on and you get your answer
Answer:
a)2,6,12,14
Step-by-step explanation:
X = 3
Let's start with the parabola y = x^2. It is obvious that the axis of symmetry is at x = 0.
Subtracting -3 from x before squaring gives y = (x-3)^2. Since any number squared is more than or equal to 0, we know that y=0 is still the lowest possible point on the parabola.
When y = 0, x = 3. From observation we can also see that the lowest point on the parabola is also where the axis of symmetry is. This means that the equation y = (x-3)^2 has axis of symmetry at x = 3.
Multiplying the right hand side by 1/2 compresses the graph vertically. You can see that this doesn't shift the axis of symmetry because you're compressing it along the axis of symmetry.
Adding 5 to the right side just moves the graph up by 5 units. Moving the graph up doesn't affect the axis of symmetry since only moving it left or right will affect it.
This gives you an axis of symmetry of x = 3.
If you have the profit formula which is profit (x1, x2) = 110x1 + 150x2, then by substitution of the given point (x1, x2) = (0, 30), you can find the profit at the corner point profit (0.30 ) = 110 (0) + 150 (30) = 4500.Therefore the profit will be $ 4500