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max2010maxim [7]
3 years ago
7

Is the point (3, -2) a solution to the following system of equations? How do you know?

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

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The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area aff
Karolina [17]

The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.

<h3>How to solve for the earthquake in the state A</h3>

we have x/y = 0.00299

y = 163696

To solve for x we have

163696 * 0.00299

= 4895 earthquakes

<h3>Next we have to solve for earth quakes in state B</h3>

x = 0.1402 x 10931

= 1533

Next we have to find the difference

4895 - 1533 = 3362 earthquakes.

We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.

<h3 />

Read more on seismic activity here:

brainly.com/question/13017813?referrer=searchResults

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Complete question

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Which statement about the number of earthquakes the states had for the given time span is true?

State A had approximately 1,533 more earthquakes than State B.

State B had approximately 1,533 more earthquakes than State A.

State A had approximately 3,362 more earthquakes than State B.

State B had approximately 3,362 more earthquakes than State A.

8 0
2 years ago
The cost of 15 oranges is $1 how much does 5 dozen oranges cost?
Levart [38]

Answer:

0.25 cents

Hope this helps you! Have a great day!

6 0
4 years ago
Suzie made a mistake in the following problem. The mistake was made in Line ___. Only input the number of the first incorrect li
zalisa [80]

Answer:

Mistake in Line 2

Step-by-step explanation:

Line 1  

7(6) ÷ 5 + 42  

Line 2  

7(6) ÷ 5 + 16  

Line 3  

42 ÷ 5 + 16  

Line 4  

42 ÷ 21  

Line 5  

2

To simplify any expression we use order of operation

Line 1 is 7(6) ÷ 5 + 42  

Order of operation is PEMDAS

First we start with parenthesis

so we multiply 7(6) in line 2

7*6- 42

So Line 2 is 42 ÷ 5 + 42  

Hence there is a mistake in Line 2

3 0
3 years ago
A university's freshman class has 5000 students. 80% of those students are majoring
icang [17]

Answer:

4000

Step-by-step explanation:

5000 * .8 is 4000

3 0
3 years ago
Read 2 more answers
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
mariarad [96]

Answer:

b) 29π mm²

Step-by-step explanation:

\frac{360}{360}  - \frac{70}{360}  =  \frac{290}{360}  \\  \\\pi \:  {r}^{2} \\  =    \frac{290}{360}  \times \pi\times 6 \times 6 \\  =  29 \: \pi  \: {mm}^{2}

6 0
3 years ago
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