Hello!
We are trying to describe the behavior of the graph given in the question.
To help us understand how to solve this question, we would need to understand <u>concavity.</u>
There are two types of concavity:
- Concave <em>up</em>
- Concave <em>down</em>
When a graph is concave up, the slope of the line would look like a "U".
When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.
In this case, we can see that the graph is concave down.
We can tell that the <em>slope</em> is negative due to the fact that the slope is going <u>down,</u> which results in the graph having a negative slope.
We can also tell that the graph is decreasing due to the fact that the line is doing downward.
Answer:
C). negative and decreasing
Answer:
Step-by-step explanation:
![Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.](https://tex.z-dn.net/?f=Hence%2C%5C%5CAs%5C%20Angle%5C%20A%5C%20and%5C%20Angle%5C%20B%5C%20are%5C%20co-interior%5C%20angles%2C%20if%5C%20they%5C%20are%5C%5C%20supplementary%5C%20then%5C%20AD%20%5Cparallel%20BC.%5C%20Lets%5C%20check%5C%20that%5C%20out.%5C%5CHence%2C%5C%5CAngle%5C%20A%3D2x%3D2%2A15%3D30%5C%5CAngle%5C%20B%3D90%5C%20%5BGiven%5D%5C%5CHence%2C%5C%5CAs%5C%2090%2B30%5Cneq%20180%2C%5C%5CAngle%5C%20A%20%2BAngle%5C%20B%5Cneq%20180%5C%5CHence%2C%5C%5CAs%5C%20Angle%5C%20A%20and%5C%20Angle%5C%20B%5C%20are%5C%20not%5C%20supplementary%2C%20%20AD%5C%20will%5C%20not%5C%20be%5C%20parallel%5C%20to%5C%20CB.)
Answer:
the graph on the right-top
Step-by-step explanation:
Transferring an "x" to the right side in 
, we get 
The system of inequalities is
We have y=2x+2 - ascending function with a=2, b=2
b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.
y=-x-3 - descending function with a=-1, b=-3
y<2x+2 is an area below the ascending function and we see that on the left-
is an area above the descending function
On the left-down we have an area above both functions, so we refuse this picture
Right-top is correct
Answer:
A = pi * r^2 = pi * 5^2 = 25*pi = 78.54 in²
<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F, or 4th person's age = -32/-1, or 32
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