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arsen [322]
3 years ago
5

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

Mathematics
2 answers:
Igoryamba3 years ago
5 0

Answer:

(1,-9)

Step-by-step explanation:

Vlad1618 [11]3 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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Brilliant_brown [7]
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%20-%209%7D%7B2%7D%20" id="TexFormula1" title=" \frac{5x - 9}{2} " alt=" \frac{
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Michelle borrows a total of $2500 in student loans from two lenders. One charges 4.2% simple interest and the other charges 6.8%
oksano4ka [1.4K]

Let x represent amount borrowed at 4.2% and y represent amount invested at 6.8%.

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x+y=2500...(1)

y=2500-x...(1)

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 0.042\cdot 3\cdot x=0.126x.

Amount of interest earned at a rate of 6.8% in 3 years would be 0.068\cdot 3\cdot y=0.204y.

We can represent this information in an equation as:

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Upon substituting equation (1) in equation (2), we will get:

0.126x+0.204(2500-x)=354

0.126x+510-0.204x=354

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\frac{-0.078x}{-0.078}=\frac{-156}{-0.078}

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Therefore, Michelle borrowed $2000 at 4.2%.

Upon substituting x=2000 in equation (1), we will get:

y=2500-2000=500

Therefore, Michelle borrowed $500 at 6.8%.

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3 years ago
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