ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is

The slope of this function is

Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when


This implies that,

Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
Abd is a right angled triangle so by pythagoras we know

and to calculate h we need to use the sine rule

i hope this helps
Answer:
7*5 + -29
Step-by-step explanation:
She makes 7 payments of 5 to the store
7*5
Then she gets 29 dollars back so that would be negative
+ -29
7*5 + -29
35 -29
She has paid 6 dollars to the store
×<_ 24 is the answer I believe.
Answer:
(b) 1
Step-by-step explanation:
To differentiate
we will need the product rule:
.
We have
, so the following equation is true by the transitive property:

By subtraction property we have:

Since
, then we can divide both sides by
:


This implies
is constant.
So we have that
where
is a real number.
Since
and
, then by transitive property
.
So
.
Checking:


So the following conditions were met.