Answer:there are 16 goats and 22 chickens.
Step-by-step explanation:
Let x represent the number of goats in the field.
Let y represent the number if chicken in the field.
After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that
x + y = 38
A goat has four legs. A chicken has 2 legs. It means that
4x + 2y = 108 - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 2y = 108
152 - 4y + 2y = 108
- 4y + 2y = 108 - 152
- 2y = - 44
y = - 44/ - 2
y = 22
x = 38 - y = 38 - 22
x = 16
Answer:
1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.
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Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
Answer:
Step-by-step explanation:
Multiplying x+6y=-3 with 2 so its equal to first eqn,
Eliminating,
2x + 3y = 3 (1)
2x +12y = -6 (2) (because subtracting)
------------------
-9y =9
∴y=-1
eq. y in 1
2x -3=3
2x=3+3
x=6/2
=3
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