The value of
such that the line
is tangent to the parabola
is
.
If
is a line <em>tangent</em> to the parabola
, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):

(3) in (2):
(4)
(4) in (1):



The value of
such that the line
is tangent to the parabola
is
.
We kindly invite to check this question on tangent lines: brainly.com/question/13424370
Answer:
35.32
Step-by-step explanation:
The regression equation usually demonstrated as
y=a+bx.
In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.
The given regression equation is
y^=0.06x+14.2
The predicted value of y can be computed by simply putting the value of x in above equation.
So,
y^=0.06(352)+14.2
y^=21.12+14.2
y^=35.32
Thus, the predicted value of y for x=352 is 35.32.
16 desserts 8+8+8+8+8= 40 so 2/5 of 40 is 16
Hope this help Have a great day.
Answer:
12
Step-by-step explanation:
x/2+4=10
-4 -4
________
x/2=6
(2/1)*(x/2)=(2/1)*(6)
________
x=12
Answer:
negative, it'll be negative 2