What is (-2x)+5+3x-4x+(-1)+(-x) simplified
1 answer:
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Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
The area of the frame not covered by the painting is 192 square inches
<em><u>Solution:</u></em>
Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame
The area of rectangle is given as:
<em><u>Find the area of painting without frame:</u></em>
Length = 20 inches
Width = 24 inches
Thus area of painting without frame is 480 square inches
With the frame, it is 28 inches wide and 24 inches tall
<em><u>Find the area of painting with frame:</u></em>
Length = 24 inches
Width = 28 inches
Thus area of painting with frame is 672 square inches
<em><u>What is the area of the frame not covered by the painting</u></em>
Area of the frame not covered by the painting = Area with farme - Area without frame
Area of the frame not covered by the painting = 672 - 480 = 192
Thus the area of the frame not covered by the painting is 192 square inches