Answer:
1/4 feet long should each pieces be.
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour
As per the statement: Becky has a board that is 2 and 3/4 feet long.
⇒ Length of a board = 
feet
Also, she need to cut the board into 11 pieces.
by unit rate definition:
or
Therefore, 1/4 feet long should each pieces be.
5y - 4x = 5
5y = 4x + 5
y = 4/5x + 1.....slope of 4/5 and y intercept of (0,1)
Answer:
1) 6(3x-2)
2) 24(x+2)
3) 9(5x−9) or 9(5x+9) if you meant to put addition.
4)8x+15
Answer:
7.04, 7.134 ,7.2, 7.413
Step-by-step explanation:
f(x) = (x - 4)^2 - 1
g(x) = -(1/4) ( x - 4)^2 + 4
both the x and y values have to be the same. Start with the y values
f(x) = g(x)
(x - 4)^2 - 1 = -(1/4) (x - 4)^2 + 4 Add 1 to both sides.
(x - 4)^2 = -(1/4) (x - 4)^2 + 5 Add 1/4(x - 4)^2 to both sides.
(5/4) (x - 4)^2 = 5 Divide by 5/4 on both sides.
(x - 4)^2 = 5//(5/4)
(x - 4)^2 = (5/1)//5/4 Invert the second fraction and multiply
(x - 4)^2 = 5/1 * 4/5
(x - 4)^2 = 4 The 5s cancel
(x - 4)^2 = 4 Take the square root of both sides.
(x - 4) = +/- 2 Add 4 to each answer. Start with +2 on the right.
x - 4 + 4 = 2 + 4
x = 4 + 2 = 6
The x value that makes f(x)- g(x) = 0 is x = 6 The point is (6,3) answer.
Answer C.
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You do not need this next part. It is just for completeness.
x - 4 = - 2
x = 4 -2
x = 2
What are the y values for these 2 x values?
y = (x - 4)^2 - 1
y = (6 - 4)^2 - 1
y = 4 - 1
y = 3
The point where f(x) - g(x) = 0 is (6,3) <<<<<< Answer 1
The second point is
y = (x - 4)^2 - 1
y = (2 - 4)^2 - 1
y = (-2)^2 - 1
y = 4 - 1
y = 3
The second point is (2,3). Answer 2
Note the y values are the same. You might expect that.
