<h2>9 ft</h2>
Step-by-step explanation:
The height of kangaroo after it jumps is represented by the function
, where
is in seconds, height is in feet.
To find the maximum height that the kangaroo jumps, we need to maximise
.
The minimum/maximum value of a quadratic expression
is given by
.
As the coeffecient of quadratic term is negative, the function has a maxima.
Maximum value =
.
∴ Maximum height = 9 ft
g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have ,
and we need to find g(x) from the graph . Let's find out:
We have ,
. From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒ 
⇒ 
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
So we need to find the two lines...y=mx+b where m is the slope and b is the y-intercept.
m=(dy/dx)=(7-6)/(3-1)=1/2 so
y=x/2+b, now I'll use (1,6) to solve for b
6=1/2+b, b=5 1/2=11/2 so
y1=(x+11)/2
now the other line...
m=(8-6)/(5-3)=2/2=1
y2=x+b, using point (3,6) we solve for b
6=3+b, b=3 so
y2=x+3
Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:
x+3=(x+11)/2
2x+6=x+11
x+6=11
x=5, now use either line to solve for the corresponding y value...
y2=x+3 becomes y=5+3=8 so the solution to this system is the point:
(5,8)
Since P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.
<h3>What is SAS?</h3>
SAS is an abbreviation for Statistical Analysis System and it can be defined as a statistical software suite which was developed at North Carolina State University by SAS Institute for the following field of study:
Since it has been stated that P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.
Read more on Statistical Analysis here: brainly.com/question/24439065
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