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2 years ago

Which oddered pair is the the system of equation?

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

8 0

Answer:

(3, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-5x - 3y = 12

y = x - 12

Step 2: Solve for x

Substitution

Substitute in y: -5x - 3(x - 12) = 12
Distribute -3: -5x - 3x + 36 = 12
Combine like terms: -8x + 36 = 12
Isolate x term: -8x = -24
Isolate x: x = 3

Step 3: Solve for y

Define original equation: y = x - 12
Substitute in x: y = 3 - 12
Subtract: y = -9

Step 4: Graph systems

Check the solution set.

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At an art auction, Giannina's painting sold for over $300. Write an inequality that describes P, the price of Geannina's paintin

Korvikt [17]

We are given : Giannina's painting sold for over $300.

Let the price of Geannina's painting in dollars = P.

Note: We are given a word " over " in above statement.

Over word represents more than. So, we need to use more than inequality symbol to write an inequality for the given statement.

Let us rephrase the given statement.

" Price P is greater than $300".

Now, we can write an inequality :

P> 300.

<h3>Therefore, the required inequality for given statement is P > 300.</h3>

7 0

3 years ago

Read 2 more answers

A square notepad has sides that are 10 centimeters long. What is the notepad's area?

blsea [12.9K]

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

8 0

1 year ago

A regular hexagon has a radius of 20 in. what is the approximate area of the hexagon

soldier1979 [14.2K]

Remark

You need 2 facts to solve this

1. The area of a hexagon is

A = 3*(sqrt(3) ) * a^2/2

Just to make this clear, I'll put it in Latex

$Area = (3*\sqrt3 a^2)/ 2$

2. The second fact you need to know is that the radius = the length of the side a.

Givens

r = 20 in

a = r where a is the length of the side of a hexagon.

Formula Substitute and solve.

A = 3*(sqrt(3) * a^2 ) / 2

A = 3*(sqrt(3) * 20^2) / 2

A = 3*sqrt(3) * 400 / 2

A = 3*sqrt(3) * 200

A = 3*1.7321 * 200

A = 1039 square inches.

4 0

3 years ago

Read 2 more answers

Something on sale for $725. The original price was $1299. To the nearest tenth of a percent, what was the rate of discount?

ElenaW [278]

Answer:

44.2%

Step-by-step explanation:

Rate of discount = (difference in prices / original price) x 100

Difference in price = $1299 - $725 = $574

Original price = $1299

($574 / $1299) x 100 = 44.187837%

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth figure is 8, which is greater than 5. 1 would be added to the tenth figure.

So it becomes 44.2%

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2 years ago

(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec

Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

$s(t)=-1.86t^2+15t$ That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0

2 years ago