Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
The answer is 33 meters
use the Pythagorean theorem
56^2+x^2=65^2
3136+x^2=4225
x^2=1089
x=33
Well there is to equations here that must be equal. X+20=4X Four times old means 4X+X=5X.
If you work to simply the problem you get something that looks like this:
X+20=5X
20=4X
x=20/4 or 5 y/o!
Answer:
The correct statement is (B).
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
A correlation coefficient of 0 implies that there is no relationship between the two variables.
Thus, the correct statement is (B).
