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2 years ago

Which of the following rational functions is graphed below?

Mathematics

2 answers:

KengaRu [80]2 years ago

6 0

Answer:

B. f(x) = 1/x(x - 2)

Step-by-step explanation:

The graphed function has two vertical asymptotes.

The functions A and D have degree 1 on the numerator and degree 2 on the denominator, so finally having degree 1, have one vertical asymptote, therefore discounted.

We are left with B and C.

Function B has vertical asymptotes 0 and -2.

This is matching the graph, correct

Function C has vertical asymptotes 0 and 2

This is not matching the graph, incorrect

See the attached to confirm

12345 [234]2 years ago

3 0

Answer:

Huh? I'm not sure what you're asking try C

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The equation 1.5r + 15 = 2.25r represents the number r of movies you must rent to spend the same amount at each movie store. how

EleoNora [17]

1.5r+15=2.25r
First of all, you have to arrange the numbers according to those similar to them. So that will be;
15=2.25r-1.5r
1.5r is subtracted from 2.25r because it crossed over an equality sign to get its position close to 2.25r. And when a number crosses over an equality sign, the sign on the number chages to the opposite. 1.5r has an invisible positive sign which became negative when it crossed. Anyway;
2.25r-1.5r is the same as 2.25-1.5. And that is 0.75r
Therefore;
15=0.75r
To find out what r is, you have to divide the both sides by 0.75. This is done to remove the 0.75 close to r to finally reveal what r is. Anyway;
15/0.75=0.75r/0.75
15 divided by 0.75 is 20. And 0.75r divided by 0.75 is r. So;
20=r
r=20. So the answer is 20 movies. Hope i helped. Have a nice day.

4 0

2 years ago

An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie

wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32 .......1

200 C + 600 T = 12000 .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T = 5600

∴ T = $\frac{5600}{400}$

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴ C = $\frac{3600}{200}$

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴ T = $\frac{8400}{600}$

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

5 0

2 years ago

One month julia collected 8.4 gallons of rainwater. That month she used 5.2 gallons of rainwater to water her garden and 6.5 gal

Andru [333]

Given

One month julia collected 8.4 gallons of rainwater.

she used 5.2 gallons of rainwater to water her garden

6.5 gallons of rainwater to water flowers

Find out how much was the supply of rainwater increased or decreased by the end of the month.

To proof

As given in the question

One month julia collected 8.4 gallons of rainwater

she used 5.2 gallons of rainwater to water her garden and 6.5 gallons of rainwater to water flowers

Total water she used in the month = 5.2 gallons + 6.5gallons

= 11.7 gallons

Let the supply of rainwater increased or decreased by the end of the month

be x .

Than the equation become in the form

x + 8.4 = 11.7

x = 3.3 gallons

Therefore the supply of rainwater increased or decreased by the end of the month is 3.3 gallons.

Hence proved

8 0

2 years ago

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After the bank cashed a check Maureen wrote for $60, her balance was -$14.The equation b+(-60)=-14 can be used to represent this

dem82 [27]

we are given

$b+(-60)=-14$

Since, we have to solve for b

$b-60=-14$

so, we will isolate b ony one side

so, we will add 60 on both sides

$b-60+60=-14+60$

$b=-14+60$

$b=46$

so,

Answer:

Maureen should have added 60 to both sides.

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2 years ago

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Jonas began his construction by drawing the diameter of a circle and then a line perpendicular to the diameter that goes through

never [62]

Insufficient information.

The construction of many regular polygons has this sequence as a starting point, including square, pentagon, octagon, decagon, and others. Jonas could also be construcing an isosceles right triangle with hypotenuse equal to the diameter of the circle.

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2 years ago

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