Answer:
D: 0.05
Step-by-step explanation:
Since the question says UNLIKELY, it would be the smallest number, which is 0.05 in this case.
The greater density to measure by having a mass of 2cm or 3cm
Let the number of geese be x.
Then number of goats is 22-x.
A goose has 2 legs, and a goat has 4.
There are a total of 82 legs.
So,
2x + 4(22-x) = 82
2x + 88 - 4x = 82
-2x = -6
x = 3
There are 3 geese and (22-3=) 19 goats.
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Answer:
y = - 1/4 + 4
Step-by-step explanation:
y = 4x - 7
Slope = 4
Slope of the perpendicular line = -1/4
Point (8,2)
(b) y-intercept: 2 - (-1/4)(8)
= 2 + 2 = 4
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}