All the relevant transformations are as shown in the explanations below.
<h3>How to Interpret Transformations?</h3>
We are given the original function as y = x and told the transformation is as follows;
1) y = x + 5; This means that the function was shifted 5 units to the left.
2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.
3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.
4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.
5) y = x - 11; This means that the function was shifted 11 units to the right.
6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.
7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.
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Answer:
Step-by-step explanation:
x + y = 7 ------------(I)
y = 7 - x ------------(II)
x + 2y = 11 --------------(III)
Substitute y = 7 - x in equation (III)
x + 2 * (7 -x) = 11
x + 2*7 - 2*x = 11
x + 14 - 2x = 11
x - 2x + 14 = 11
- x + 14 = 11
Subtract 14 from both side
-x = 11 - 14
-x = -3
Multiply both sides by (-1)
x = 3
Substitute x=3 in equation (II)
y = 7 - 3
y = 4
Answer:
1.
Volume= 729cm^3
Height= 9cm^2
Area of Base= 81cm^2
2.
Volume=450m^3
Height= 3m^2
Area of Base=150m^2
3.
Volume= 480 cm^2
Area of base=75cm^2
Height= 8cm^2
4.
Volume =120in^3
Area of Base=20in^2
Height= 6in^2
Step-by-step explanation:
Volume = (length) Times (Width) Times (Height)
Area os base = (Length) Times (width)
Answer:
the answer is 1 1/5
Step-by-step explanation: