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3 years ago

3. Write y = x2 - 4x - 1 in vertex form.

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

$y = (x-2)^2 - 5$

Step-by-step explanation:

Hi there!

$y = x^2 - 4x - 1$

First, complete the square:

$y = (x^2 - 4x) - 1\\y = (x^2 - 4x+4) - 1-4\\y = (x-2)^2 - 1-4$

Simplify:

$y = (x-2)^2 - 5$

I hope this helps!

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Okay, what do we know?

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The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and thre

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Answer:

See Explanation

Step-by-step explanation:

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.

According to the question,

Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.

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Answer:

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3 years ago

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3 years ago

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Marina CMI [18]

Answer:

400 ft elevation at 1 km and 3 km from the start
300 ft/km average rate of change over the first 4 km

length = 3.5 cm
width = 3.5 cm
height = 7.0 cm

6 mo: $1018.14
5 yrs: $1196.89
avg incr: $3.28 per month

Step-by-step explanation:

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

= (19 -7)/4 hundred feet/km

= 12/4 hundred feet/km = 300 ft/km

___

You want to find x when ...

A(x) = 122.5 cm²

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x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

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