Math (88 points by the way)I put transformation on the very first blank line by the way.
2 answers:
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Answer:
The correct answer is option C.
Step-by-step explanation:
In order to determine the equation of the function, whose graph is given to us in the question, we can use the various coordinates points and the points of discontinuities. Also, we can see the type of graph, for example, a parabolic, straight line etc.
Now, in the graph given in the question, we can see that from x<1, the graph is parabolic given by and also we can see that x=1 is the discontinuous point, so we will not take x=1 in the domain of the function.
Now when , we have the straight line that is given by
where the curve is defined for x=1 also.
So, we will have the step-wise function whose equation will be given by option C.
Answer:
see explanation
Step-by-step explanation:
Given
3x² - 5x + 2 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 2 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the x- term
3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
Roots are x = 1, x =