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2 years ago

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The length of a rectangle field is represented by the expression 14 X minus 3X squared +2 Y. The width of the field is represent

ed by the expression 5X minus 7X squared plus 7Y. How much greater is the length of the field than the width?

1 answer:

Assoli18 [71]2 years ago

7 0

Answer:

$9x+4x^2-5y$

Step-by-step explanation:

Hi there!

Length of the field: $14x-3x^2+2y$ units

Width of the field: $5x-7x^2+7y$ units

To find how much greater the length of the field is than the width, subtract the width from the length:

$14x-3x^2+2y-(5x-7x^2+7y)$

Open up the parentheses

$= 14x-3x^2+2y-5x+7x^2-7y$

Combine like terms

$= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y$

Therefore, the length is $9x+4x^2-5y$ units greater than the width.

I hope this helps!

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Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 3

fgiga [73]

Answer:

The piano was in the air for 18.34 seconds.

Step-by-step explanation:

The height of the piano after t seconds is given by the following equation:

$f(t) = -16t^{2} + 320t - 256$

Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.

Roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$f(t) = -16t^{2} + 320t - 256$

So

$a = -16, b = 320, c = -256$

$\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016$

$t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348$

$t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17$

Subtracting:

19.17 - 0.8348 = 18.34

The piano was in the air for 18.34 seconds.

6 0

2 years ago

What is the square root of 12?<br>

andrew11 [14]

I beilieve it’s 11 I’m not 100% certain though

4 0

3 years ago

Read 2 more answers

Use the distributive property to write the expression –6(–3x – 5) without parentheses.

Sauron [17]

Answer:

<h2>18x + 30</h2>

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac.

-6(-3x - 5) = (-6)(-3x) + (-6)(-5) = 18x + 30

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3 years ago

Acar can travel 25 miles per gallon. Approximately how many gallons of fuel will the car need to travel 30

FrozenT [24]

Answer:

The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .

Step-by-step explanation:

Given:

The car can travel 25 miles per gallon. (1 mile = 1.6 km)

Now, we need to convert 25 miles into km .

25 miles = 25 × 1.6 km

= 40 km

So, the car can travel 40 km per gallon.

Then, we find out in 1 km how many gallons are used:

$40 km = 1 gallons$

$1\ km = \frac{1}{40}\ gallons$

$1\ km = 0.025\ gallons$

Now, we find out how much gallons of fuel will the car need to travel 30 km:

Gallons of fuel the car need to travel 30 km = $30\times 0.025$

= $0.75 gallons$ .

Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.

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2 years ago

What is 32.043 in expanded form

cestrela7 [59]

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3 years ago