Answer:
-x + 4
Step-by-step explanation:
(4x+5)+(−5x−1)
4x+5−5x−1 [Remove the parentheses]
-x + 4 [Combine Like Terms]
X/2+1=y subtract 1 from both sides
x/2=y-1 multiply both sides by 2
x=2y-2
Answer: pretty sure lily is right
Step-by-step explanation:
<h3>
Answer: 101 revolutions</h3>
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Explanation:
C = circumference
C = pi*d
C = 3.14*19
C = 59.66
The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.
Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x
59.66x = 6000
x = 6000/59.66
x = 100.569896077774
x = 101
After 101 revolutions, Jason has traveled about 500 ft.
Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.
And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.
This is a linear equation y = mx+b, where m is the slope and b, the y-intercept.
Since we know this graph passes through A(1,4) and B(5,6), we can find easily the equation:
1st- Calculate m = (y₂-y₁)/(x₂-x₁) → m = (6-4)/5-1) = 2/4 →m =1/2
Now y = (1/2) + b.
2nd. To calculate b, replace x and y by either the coordinate of A(1,4) or B(5,6)
Let's take A where x = 1 and y = 4 for instance:
y =(1/2)x + b
4=(1/2)(1) + b
4=1/2 + b
4-1/2 = b and b= 7/2
Finally te equation becomes: y = (1/2)x + 7/2
