Answer:
5.16
Step-by-step explanation:
Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4
x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial
P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)
P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))
P(x)= x² -11x+31
P(3.4)= 5.16
Answer:
.
Step-by-step explanation:
Start by finding the slope of this line.
If a slanting line goes through
and
, where
, the slope of this line would be:
.
The line in this question goes through
and
. Hence, the slope of this line would be:
.
If a slanting line with a slope of
and goes through the point
, the equation of this line in the point-slope form would be:
.
For the line in this question, the slope is
. Take
as the chosen point on this line. The point-slope form equation of this line would be:
.
Rewrite to obtain the equation of this line in the slope-intercept form:
.
Answer:
For k = 6 or k = -6, the equation will have exactly one solution.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the equation has only one solution.
In this problem, we have that:

So




We will only have one solution if
. So





For k = 6 or k = -6, the equation will have exactly one solution.
Answer:
C.
Step-by-step explanation:
Because there is constant term 4 in the question, but there is no any such constant term in the given options.