The solution is when the two functions meet x=2. The green function is f(x), and the red is g(x).
Find the value of 4b + 3c - 12d if b=-2 c = 5 d = -3
2 answers:
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Answer:
In a nutshell, is obtained by applying an horizontal translation on
, followed by a vertical translation.
Step-by-step explanation:
Let be the parent function,
is obtained by applying an horizontal translation on
, followed by a vertical translation, that is:
(1)
If , then translation is rightwards.
If , then translation in downwars.
If and
, then the resulting function is:
(2)
In a nutshell, is obtained by applying an horizontal translation on
, followed by a vertical translation.
Answer:
x = 5
Step-by-step explanation:
Given
x = ( square both sides )
x² = 3x + 10 ( subtract 3x + 10 from both sides )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
As a check
Substitute these values into the equation and if both sides are equal then they are solutions.
x = 5
right side = =
= 5 = left side ← solution
x = - 2
right side = =
= 2 ≠ - 2 ← not a solution
Thus x = 5 is the solution to the equation