Answer:
Step-by-step explanation:
x = 1/4
y = -x = -1/4

Answer:
-1 and -2, or 9 and 10
Step-by-step explanation:
If x is the smaller integer:
x (x + 1) = 14 + 4 (x + x + 1)
x² + x = 14 + 4 (2x + 1)
x² + x = 14 + 8x + 4
x² − 7x − 18 = 0
Factor using AC method:
(x − 9) (x + 2) = 0
x = -2 or 9
x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.
-1 and -2:
(-2) (-1) = 14 + 4 (-2 + -1)
2 = 14 + 4 (-3)
2 = 2
9 and 10:
(9) (10) = 14 + 4 (9 + 10)
90 = 14 + 4 (19)
90 = 90
Both solutions work.
Answer:
5 chickens, 20 goats
Step-by-step explanation:
We can set up two equations and use substitution
There are 25 total goats and chickens, so

Goats have 4 feet and chickens have two, so

By solving for G in the first equation,

We can now use substitution,

We have 5 chickens, so we have 20 goats.
Let's double check:

It checks out!
It would be A because they’re both perfect squares
Answer:
The statement is incorrect because an inverse relationship between y and x would imply that the graph would be a downward curved graph whose slope changes rather than linear which has constant slope (see image).
Best to express this situation as:
There is a linear relationship between y and x with a negative constant slope. The keyword here is constant since the slope is the same in a linear relationship
Step-by-step explanation:
An inverse relationship exists between y and x when y is proportional to the reciprocal of y
This would be expressed in the form
∝ 
As x decreases , y increases or vice-versa. It is often expressed in equation form as
or
where k is a constant and whose graph is curved in nature. The slope is changing for the range of x values not constant as would be the case for a linear graph
All we can say about the data is that there is a linear relationship between y and x with a negative constant slope