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devlian [24]
3 years ago
7

Please help me with this.

Mathematics
1 answer:
ipn [44]3 years ago
8 0

-5yards+-8yards=-13yards

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Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below.
olasank [31]
<h2>Greetings!</h2>

Answer:

B)

Step-by-step explanation:

Y intercept:

Simply substitute all the x values with 0:

When x = 0:

3(0) - 2y = 18

Move the - 2y over to the other side making it a +2y:

0 = 18 + 2y

Move the +18 over to the other side making it a -18:

-18 = 2y

Divide both sides by 2:

\frac{-18}{2} = \frac{2y}{2}

-9 = y

So y intercept is:

<h3> (0 , -9)</h3>

X - intercept:

Simply substitute all the Y's with 0:

3x - 3(0) = 18

3x = 18

Divide both sides by 3:

\frac{3x}{3}  = \frac{18}{3}

x = 6

So the X intercept is:

<h3>(6 , 0)</h3>

This means that your guess of B is correct.


<h2>Hope this helps! </h2>
8 0
3 years ago
Read 2 more answers
After a 15% increase, a town has 115 people. What was the population before the increase?
Arte-miy333 [17]

Answer:

100 people

Step-by-step explanation:

<em>Population</em><em> </em><em>Of</em><em> </em><em>People</em><em>=</em><em>1</em><em>1</em><em>5</em><em>Percentage</em><em>ncrease</em><em>=</em><em>1</em><em>5</em><em>%</em>

<em>The</em><em> </em><em>New</em><em> </em><em>Population </em><em>corresponds </em><em>to</em><em> </em><em>1</em><em>1</em><em>5</em><em>%</em>

<em>(</em><em>That</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>0</em><em>+</em><em>1</em><em>5</em><em>)</em>

<em>We</em><em> </em><em>want</em><em> </em><em>to </em><em>find</em><em> </em><em>the</em><em> </em><em>popula</em><em>tion</em><em> </em><em>that</em><em> </em><em>corresponds</em><em> </em><em>to </em><em>100%</em><em> </em><em>that </em><em>is </em><em>the</em><em> </em><em>original</em><em> </em><em>population</em><em>.</em>

<em>Therefore</em><em> </em><em>Original </em><em>Population</em><em>;</em>

<em>\frac{100}{115}\times {115}{}</em>

<em>100 \: people</em>

7 0
3 years ago
Jarron has a piece of chalk tied to the end of a
solniwko [45]

Answer: A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.

How should this string be cut so that the sum of the areas is a minimum .

:  

Let x = the circumference of the circle

then

(24-x) = the perimeter of the square

:

Find the area of the circle

find r

2*pi*r = x

r =  

Find the area of the circle

A =  

A =  

A =  sq/cm, the area of the circle

:

Find the area of the square

A =  sq/cm the area of the square

The total area

At =  +  

Graph this equation, find the min

Min occurs when x=10.6 cm

cut string 10.6 cm from one end

Step-by-step explanation: Hope I help out alot (-: :-)

8 0
3 years ago
Read 2 more answers
Evaluate a(b - c ^ 2) * if * a = 2/3, b = 3/4, c = 1/2 A: 1/65 B: 1/3 C: 1/4 D: 2/3
DiKsa [7]

Answer:

If a+b+c=1,

a

2

+

b

2

+

c

2

=

2

,

a

3

+

b

3

+

c

3

=

3

then find the value of

a

4

+

b

4

+

c

4

=

?

we know

2

(

a

b

+

b

c

+

c

a

)

=

(

a

+

b

+

c

)

2

−

(

a

2

+

b

2

+

c

2

)

⇒

2

(

a

b

+

b

c

+

c

a

)

=

1

2

−

2

=

−

1

⇒

a

b

+

b

c

+

c

a

=

−

1

2

given

a

3

+

b

3

+

c

3

=

3

⇒

a

3

+

b

3

+

c

3

−

3

a

b

c

+

3

a

b

c

=

3

⇒

(

a

+

b

+

c

)

(

a

2

+

b

2

+

c

2

−

a

b

−

b

c

−

c

a

)

+

3

a

b

c

=

3

⇒

(

a

+

b

+

c

)

(

a

2

+

b

2

+

c

2

−

(

a

b

+

b

c

+

c

a

)

+

3

a

b

c

=

3

⇒

(

1

×

(

2

−

(

−

1

2

)

+

3

a

b

c

)

)

=

3

⇒

(

2

+

1

2

)

+

3

a

b

c

=

3

⇒

3

a

b

c

=

3

−

5

2

=

1

2

⇒

a

b

c

=

1

6

Now

(

a

2

b

2

+

b

2

c

2

+

c

2

a

2

)

=

(

a

b

+

b

c

+

c

a

)

2

−

2

a

b

2

c

−

2

b

c

2

a

−

2

c

a

2

b

=

(

a

b

+

b

c

+

c

a

)

2

−

2

a

b

c

(

b

+

c

+

a

)

=

(

−

1

2

)

2

−

2

×

1

6

×

1

=

1

4

−

1

3

=

−

1

12

Now

a

4

+

b

4

+

c

4

=

(

a

2

+

b

2

+

c

2

)

2

−

2

(

a

2

b

2

+

b

2

c

2

+

c

2

a

2

)

=

2

2

−

2

×

(

−

1

12

)

=

4

+

1

6

=

4

1

6

Extension

a

5

+

b

5

+

c

5

=

(

a

3

+

b

3

+

c

3

)

(

a

2

+

b

2

+

c

2

)

−

[

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

c

2

)

]

=

3

⋅

2

−

[

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

b

2

)

]

Now

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

b

2

)

=

a

2

b

2

(

a

+

b

)

+

b

2

c

2

(

b

+

c

)

+

c

2

a

2

(

a

+

c

)

=

a

2

b

2

(

1

−

c

)

+

b

2

c

2

(

1

−

a

)

+

c

2

a

2

(

1

−

b

)

=

a

2

b

2

+

b

2

c

2

+

c

2

a

2

−

(

a

2

b

2

c

+

b

2

c

2

a

+

c

2

a

2

b

)

=

−

1

12

−

a

b

c

(

a

b

+

b

c

+

c

a

)

=

−

1

12

−

1

6

⋅

(

−

1

2

)

=

0

So

a

5

+

b

5

+

c

5

=

6

−

0

=

6

Step-by-step explanation:

8 0
3 years ago
Georgia needs to buy some cheese. An 8-ounce package of
const2013 [10]

Answer:

neither buy is better, both buys are $2.28571428/ounce

4 0
3 years ago
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