Solve. 10x^2 - 6 = 9x
1 answer:
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Start with the parent function f(x) = x³
Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.
Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate
Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up
So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.
Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.
Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate
Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up
So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.
One x- value of the solution is : -2 or -8
<h3>What is an equation?</h3>An Equation is an algebraic statement that shows that two quantities are equal.
Analysis:
for one x-value of a solution, f(x) = g(x)
+ 7x -24 = -3x - 40
+7x +3x -24 +40 = 0
+ 10x +16 = 0
+8x +2x +16 = 0
x(x+8) +2(x+8) = 0
(x+2)(x+8) = 0
x = -2 or -8
In conclusion, the values of x are -2 or -8
Learn more about system of equation : brainly.com/question/14323743
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