Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
Answer:
Step-by-step explanation:
<u>Distance Between two Points in the Plane</u>
Given two points A(x,y) and B(w,z), the distance between them is:
The triangle formed by the points N (7,3), 0(-8, -3), and P(-8,-8) is shown in the image provided.
We are required to find the distance between N and O:
Since 261=9*29:
Answer:
Median is used to describe the center of the data of heights of 50 basketball players.
Step-by-step explanation:
The median divides the data into two equal parts.
It can be used to describe the center of the data.
The mean gives the average where most data lies.
The advantages of median are
1)it is located even when the values are not capable of quantitative measurements.
2) It is not affected by extreme values > It can be computed even when a frequency distribution involves open end classes like those of income and prices.
3) In a highly skewed distribution median is appropriate average to use.
The disadvantages of the mean are
1) it is greatly affected by extreme values.
2) It sometimes gives fallacious conclusions.
3) In a highly skewed distribution mean is not an appropriate average to use.
4) It cannot be computed even when a frequency distribution involves open end classes like those of income and prices.
Answer:
Line 1 to lin2 2= I think D or maybe A.. Mainly D
line 2 to line 3= A
Step-by-step explanation:
Answer:
w = (p - 21)/2
Step-by-step explanation:
Rearrange the equation so that it is equal to w.
p = 21 + 2w
p - 21 = (21 + 2w) - 21
p - 21 = 2w
(p - 21)/2 = (2w)/2
(p - 21)/2 = w
w = (p - 21)/2
