The graph of which function is decreasing over the interval (–4, ∞)?
2 answers:
This can be solved by the method of elimination.
We have been given that the function should decrease over (-4,∞)
So, since its between -4 and ∞ , we can eliminate option A and C. This is because options A and C are actually increasing over (-4,∞) and not decreasing.
So, this leaves us with options B and D. Next we find the vertex of the two functions. The vertex of Option B, that is lies at the point (-4,4) and decreases with x over the interval (-4,∞).
Whereas the option D, has the vertex at (4,4) and hence the interval is not between -4 and infinite.
Hence Option B, is the answer asthe function is decreasing over the interval (–4, ∞)
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Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of times Emma mows the lawn
y------> the number of hours Emma babysits
we know that
------> inequality that represent the situation
The solution is the shade area above the solid line between the values of x and y positive
The equation of the solid line is equal to
The slope of the line is negative
The y-intercept of the line is the point (value of y when the value of x is equal to zero)
The x-intercept of the line is the point (value of x when the value of y is equal to zero)
so
The graph in the attached figure
Answer:
Step-by-step explanation:
Actually, the complete question includes the expression of each hypothenuse, because the problem is about congruence between right triangle.
So, the hypothenuse for is:
.
The hypothenuse for is:
.
So, the postulate HL (Hypothenuse-Leg) states that both right triangles are equal if their hypothenuses and legs are equal. So, we have to make equal both hypothenuse expression and solve for :
Therefore, when these triangles are congruent.