Answer:
y = 3/2 when x = 15
Step-by-step explanation:
y = k / √1+x
2 = k / √1+8 = k/3
k = 6
y' = 6 / √1+15 = 6/4 = 3/2
Answer:
3x+12y+4 -- is the simplified version, variables would be x and y
Answer:
The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 <
< 0.314695
Step-by-step explanation:
The confidence interval for a proportion is given by the following formula;

Where:
x = 33
n = 136
= x/n = 33/136 = 0.243
z value for 95% confidence is 1.96
Plugging in the values, we have;

Which gives;
0.17059 <
< 0.314695
Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 <
< 0.314695
From the above we have;
23.2 < x < 42.798
Since we are dealing with people, we round down as follows;
23 < x < 42.
Answer:
Part 1) There are infinity locations for the point B
Part 2) see the explanation
Step-by-step explanation:
Part 1) How many possible locations are there for point B?
we know that
The equation of a line in point slope form is equal to

where


substitute

Convert to slope intercept form




Point B can be any point ( different from point A) that satisfies the linear equation
therefore
There are infinity locations for the point B
Part 2) Describes a method to location the point
To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate
Example
Suppose that the x-coordinate of point B is 4
For x=4
substitute in the linear equation

so
The coordinates of point B is (4,10.5)
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9