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arsen [322]
2 years ago
5

The vertex of y=(x-4)(x+2)

Mathematics
2 answers:
Igoryamba2 years ago
5 0

Answer:

(1,-9)

Step-by-step explanation:

Vlad1618 [11]2 years ago
5 0

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 = \frac{-2+4}{2} = \frac{2}{2} = 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:

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Step-by-step explanation:

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O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer
ikadub [295]

Answer:

c=18.90-2.1r

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

0.90c+1.89r=17.01

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

0.90c=17.01-1.89r

Divide by 0.90 both sides

c=(17.01-1.89r)/0.90

Simplify

c=18.90-2.1r

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

1.89r=17.01-0.90c

Divide by 1.89 both sides

r=(17.01-0.90c)/1.89

Simplify

r=9-0.48c

therefore

The equation c=18.90-2.1r 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.

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