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Likurg_2 [28]
4 years ago
5

The graph shown here is the graph of which of the following rational

Mathematics
1 answer:
IrinaK [193]4 years ago
7 0

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

Vertical asymptotes of the function are x = -2, 5

Horizontal asymptote is y = 0

Now we take each option,

Option (A),

F(x) = \frac{x(x-5)}{(x+2)}

No horizontal asymptote

Vertical asymptote : x = -2

Option (B),

F(x) = \frac{x}{(x+2)(x-5)}

Horizontal asymptotes : y = 0

Vertical asymptotes : x = 5, -2  

Option (C),

F(x) = \frac{(x+2)(x-5)}{x}

Vertical asymptote : x = 0

No horizontal asymptote.

Therefore, Function given in Option (B) matches the asymptotes given in the graph.

Option (B) represents the graph.

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What does x=??? hurry!!
elena-s [515]

Answer:

17 degrees.

There is a right angle and we know that is 90 degrees. 73 degrees has a vertical angle which is 73 degrees. The opposite vertical angle adds up to another angle which gives you 90. Subtract 73 from 90 and you get 17.

4 0
4 years ago
The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c
denpristay [2]
Fixed price costs
Crew salaries            350
fuel                              120
overheads                  170
Total fixed cost:          640

Variable costs per passenger
refreshments           $ 6.50
refund                       $ 3.64
total variable cost:   10.14  

Sales income
<span>Average ticket      $ 36 .40

</span><span>Break-even point =   <u>                                 (fixed costs)                           </u>
                                    (income per passenger – costs per passenger) </span><span>

</span>
Break even =  640 / (36.40-10.14) = 640 / 26.26 = 24.37


3 0
3 years ago
Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern
ratelena [41]

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

6 0
3 years ago
The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A
3241004551 [841]

Answer: 18°F

Step-by-step explanation: if you add 21 and -3 you get 18

4 0
3 years ago
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?
Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

We have that P = 4200, E = 630, t = 3. We have to find I.

E = P*I*t

630 = 4200*I*3

I = \frac{630}{4200*3}

I = 0.05

The simple interest rate is 5%.

Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of  return of 6%?

We have to find T when P = 4200, t = 4, I = 0.06

So

E = P*I*t

E = 4200*0.06*4

E = 1008

T = E + P = 4200 + 1008 = 5208

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

7 0
3 years ago
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