The vertex of y=(x-4)(x+2)
2 answers:
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The vertex is located on the axis of symmetry
The axis of symmetry is at the midpoint of the zeros
Find the zeros by letting y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 4 = 0 ⇒ x = 4
Then equation of axis of symmetry/ x- coordinate of vertex is
x = =
= 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = (- 3)(3) = - 9
vertex = (1. - 9 )
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We have been given that Michelle borrows a total of $2500 in student loans from two lenders. We can represent this information in an equation as:
We are also told that at the end of 3 years, she will owe a total of $354 for the interest from both loans.
Amount of interest earned at a rate of 4.2% in 3 years would be .
Amount of interest earned at a rate of 6.8% in 3 years would be .
We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, Michelle borrowed $2000 at 4.2%.
Upon substituting in equation (1), we will get:
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