Starting with the graph of f(x) = 5^{x}, write the equation of the graph that results from (a) shifting f(x) 1 units downward. y
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The rectangle R’S’T’U’ is a 90° counterclockwise rotation of RSTU so options (A) and (C) will be correct.
<h3>What is a rectangle?</h3>The rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Given the rectangle RSTU if we plot it then it becomes a major horizontal rectangle.
If we transpose into R’S’T’U’ then it rotates 90 degrees counterclockwise and becomes a major vertical ractangle.
Hence the rectangle RSTU will rotate 90° counterclockwise to form R’S’T’U’.
For more about rectangles,
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<u><em>The correct question is </em></u>
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is
Convert mixed number to an improper fractions
Substitute in the expression above
solve for x
Multiply by (4*6) both sides to remove the fractions
Combine like terms left side
subtract 46 both sides
Divide by 24 both sides
simplify
Convert to mixed number