Answer:
okay
vertex:(2,4)
domain: (-∞,∞)
range: [4,∞)
Step-by-step explanation:
to find the vertex from the equation
f(x) = (x − 2)² + 4
an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.
to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.
lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.
ps i hope this helps.
Answer:
Standard deviation of the sample = 17.421
Step-by-step explanation:
We are given that in a random sample of 80 teenagers, the average number of texts handled in one day is 50.
Also, the 96% confidence interval for the mean number of texts handled by teens daily is given as 46 to 54.
So, sample mean,
= 50 and Sample size, n = 80
Let sample standard deviation be s.
96% confidence interval for the mean number of texts,
is given by ;
96% confidence interval for
=
[46 , 54] =
Since lower bound of confidence interval = 46
So, 46 =
50 - 46 =
s =
= 17.421
Therefore, standard deviation of the sample is 17.421 .
Answer:
The equation of the line will be:

Step-by-step explanation:
Given
Point slope form:

substituting the values m = -1/2 and the point (4,-8)


subtract 8 from both sides


Therefore, the equation of the line will be:

Answer:
10
Step-by-step explanation:
Answer:
18
Step-by-step explanation: