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Answer:
x=< -1
Step-by-step explanation:
move the constant to the right-hand side and change its sign. 2x<-5+3
Calculate the sum
2x<-2
Divide both sides of the inequality by 2
x <-1
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: 4/3
In dividing by fractions, you flip the latter one over. 2/3 * 2=4/3.