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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Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.
Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.
Then, explain when it might be helpful to write the equation in these forms.
a. c=18.9-2.1r. b. r= -10÷2c+9
we have that
The linear equation in standard form is
where
c is the pounds of chicken
r is the pounds of ribs
step 1
Solve the equation for c
That means ----> isolate the variable c
Subtract 1.89r both sides
Divide by 0.90 both sides
Simplify
step 2
Solve the equation for r
That means ----> isolate the variable r
Subtract 0.90c both sides
Divide by 1.89 both sides
Simplify
therefore
The equation is equivalent
The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.
Take the root of both sides, and then solve.
c = sqrt a^2 + b^2, - sqrt a^2 + b^2.
c = sqrt a^2 + b^2, - sqrt a^2 + b^2.