16a. 21cm. bc when it has 10 grams it moves half of that to 5cm so divide 42 by 2 and you get 21cm
17. remember y=mx+b; m is slope and b is y-intercept
you have to put your equation from point slope to y=mx+b
4x+y=6
subtract 4x from each side
y=-4x+6
slope = -4
y-intercept= 6
hope this helped :)
Answer:
f^(-1)(x) = (x-b)/m or x/m - b/m
Step-by-step explanation:
f(x) = y = mx + b
To find the inverse function, interchange x and y and solve for y, i.e.
x = my + b
my = x-b
y = (x-b)/m = x/m - b/m
Right? So if you had a ten block that would represent that for a 10 so 15 minus 10 know 5 left so we would use 5 1 blocks
-2 = - x + x^2 -4 => x^2 - x - 4 + 2 = 0
x^2 - x - 2 = 0
a is the coefficient of x^2 => a = 1
b is the coefficient of x => b = - 1
c is the constant term => c = - 2
quadratic equation: [- b +/- √(b^2 - 4ac) ] / 2a =
= { 1 +/- √[ (-1)^2 - 4(1)(-2)] } / (2(1) = { 1 +/- √ (1 + 8) } / 2 = {1 +/- √9} / 2 =
= { 1 +/- 3} / 2
Answer:
Bucket 2
Step-by-step explanation:
Bucket 1 = 4700ml
Bucket 2 = 4.8l
Bucket 3 = 3880ml
Bucket 4 = 4.71 l
Convert holding capacity of bucket 1 and bucket 3 into liters
1 liter = 1000 milliliter
Bucket 1 = 4700ml
4700ml = 4.7l
Bucket 3 = 3880ml
3880ml = 3.88l
Therefore,
Bucket 1 = 4.7l
Bucket 2 = 4.8l
Bucket 3 = 3.88l
Bucket 4 = 4.71 l
The bucket closest to 5liters is bucket 2 with a holding capacity of 4.8 liters
