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bogdanovich [222]
3 years ago
8

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle,rose curve, limacon, etc), and

state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether is is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. r= -2cos5theta
Mathematics
1 answer:
Darya [45]3 years ago
6 0

Rose petal with 5 petals

Domain: all real numbers

Range: [-2,2]

Symmetric about the x-axis

Continuous

Bounded

Maximum r-value: 2

No asymptotes

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HELP ME PLEASEEEEEEEEE
Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x +  2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5   therefore x  = 7

a) let the number be x

   therefore if \frac{3}{2} x + \frac{9}{4}  = \frac{51}{4}  \Rightarrow  1.5x + 2.25 = 12.75  then the number x = 7.

 This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

   quarters, the number is x = 5,

   \frac{9}{4} x + \frac{3}{2}  = \frac{51}{4}  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.)   If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 5.

2.25x + 1.5  = 12.75  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0
4 years ago
Which sum(s) represent(s) a rational?
iogann1982 [59]

Not sure but I believe letter B) 3+4 is rational since the answer is 7 and 7 is a rational number and it can be expressed as a quotient.  The sum of a rational number and an irrational number is irrational. The sum of two rational numbers is rational

8 0
3 years ago
Simplify this expression 4x^2y^3 x 2x^3y^4
sp2606 [1]

Answer:

8 x^5 y^7

Step-by-step explanation:

Simplify the following:

4×2 x^2 y^3 x^3 y^4

Hint: | Combine products of like terms.

4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:

4×2 x^(2 + 3) y^(3 + 4)

Hint: | Evaluate 3 + 4.

3 + 4 = 7:

4×2 x^(2 + 3) y^7

Hint: | Evaluate 2 + 3.

2 + 3 = 5:

4×2 x^5 y^7

Hint: | Multiply 4 and 2 together.

4×2 = 8:

Answer: 8 x^5 y^7

3 0
3 years ago
Two cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for the oil change, plus y
ad-work [718]

Answer:

Basic fee = $14.95

1.5 dollars per quart of oil

Step-by-step explanation:

Each customer is charged a fee x (in dollars) for the oil change, plus y dollars per quart of oil used.

The oil change for the car that requires 5 quart of oil costs $22.45.

x+5y=22.45

x=22.45-5y

The oil change for the car that requires 7 quarts of oil costs $25.45.

x+7y=25.45

x=25.45-7y

Both equation having x

so make it equal and solve for y

22.45-5y=25.45-7y

Add 7y on both sides

22.45+2y=25.45

subtract 22.45 from both sides

2y=3\\y=1.5

now plug in 1.5 for y and solve for x

x=22.45-5y\\x=22.45-5(1.5)\\x=14.95\\

6 0
3 years ago
Suppose that 19years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 th
myrzilka [38]
To find the amount in the account you need to find the monthly interest and times it by the number of months since the benefactor opened the account.

Monthly interest:

to find 6% you must use the proportions:

$20,000/100% = X/6%  

then cross multiply,

X= (20,000 x 6)/100 = 1200

this number is your monthly interest.

Months
Now we have to find the months in 19 years:

12 x 19 = 228

times 12 because we know that a year has 12 months and we have 19 years so we must multiply those two.

Total amount:

$1200 (monthly interest rate) x 228 (months) = $273, 600


8 0
3 years ago
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