Answer:
Step-by-step explanation:
The rule of reflecting over the x-axis is that point (x, y) →( x, -y) so
Q'(1, -3), R'(-2,-6),and S'(-1,-1) reflected over the x-axis, become
Q"(1, 3), R"(-2, 6), and S"(-1, 1) .
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
(1, 25)
Step-by-step explanation:
Convert to vertex form so that the equation is (x - 1)^2 + 25
If 1 is <em>h </em>and 25 is <em>k</em>, (<em>h, k</em>), the result would be (1, 25)
To find the solutions to the system, we need to find exactly when one expression is equal to the other. We can do this by setting both of the right sides equal to each other, so that

Subtracting x+6 from either side, we find

factoring out an x+6:


The x-coordinates of our solutions will therefore be 6 and -6. Since the question only asks for the <em>x-coordinate</em> of the midpoint, we simply need to find the number exactly halfway between 6 and -6, which is 0.