1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that
(3,2)→(5,1).
the translation rule is
(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.
2. If the player moves the knight from (5, 1) to (6, 3), then the translation is
(5,1)→(6,3)
and the rule is
(x,y)→(x+1,y+2).
This is translation 1 unit right and 2 units up.
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
13x
13
=
26
13
x=2
Answer:
x=2
So the steps to find the inverse are:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Now let's solve for y as such:
<u>Your inverse is f^-1(x) = 3/2x + 3</u>
The Percent Proportion is defined by. amount. ... The base, denoted by the letter b, is the entire quantity or total involved. Note: The number that is the base usually appears after the word of. The amount, denoted by the letter a, is the part being compared to the whole or total.
