Well one ball of wool makes 2 knitted caps so 3 balls of wool are needed to make 6 knitted caps
Answer:
The answer to your question is below
Step-by-step explanation:
1.- (2b - 1) (b + 8) = 0
2b - 1 = 0 b + 8 = 0
b = 1/2 b = -8
2.- (x + 3)(x - 12) = 0
x + 3 = 0 x - 12 = 0
x = -3 x = 12
3.- (4b+ 7)(b + 11)
4b + 7 = 0 b + 11 = 0
b = -7/4 b = -11
4.- (k - 8)(k + 6)
k - 8 = 0 k + 6 = 0
k = 8 k = -6
5.- (2n + 12)(5n+ 10)
2n + 12 = 0 5n + 10 = 0
n = -12/2 = -6 n = -10/5 = -2
6.- (w - 3)(3w - 7)
w - 3 = 0 3w - 7 = 0
w = 3 w = 7/3
7.- (6n - 5)(n - 10)
6n - 5 = 0 n - 10 = 0
n = 5/6 n = 10
8.- (n + 12)((4n + 7)
n + 12 = 0 4n + 7 = 0
n = -12 n = -7/4
9.- (3b + 4)(5b - 10)
3b + 4 = 0 5b - 10 = 0
b = -4/3 b = 10/5 = 2
10.- (p - 6)(p + 10)
p - 6 = 0 p + 10 = 0
p = 6 p = -10
Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
Answer:
Simplified: (3x-6) (-2x-2)
Step-by-step explanation:
The answer is the first option.
