Does the equation y= -1/x represent a direct or inverse variation?

Answers

Answer 1
Answer:

The equation y = -1/x represent a inverse variation

Solution:

Given, equation is y = (-1)/(x)

We have to find the relation between x and y

Now, for finding the relation we have to take two sets of values of x and y and substitute them in given equation.

\begin{array}{l}{\text { Now, take } y=1 \rightarrow 1=-(1)/(x) \rightarrow x=-1} \n\n {\text { Now, take } y=-1 \rightarrow-1=-(1)/(x) \rightarrow x=1}\end{array}

If we observe, when y value is decreased from 1 to – 1, the value of x is increased from -1 to 1

Hence, the x and y varies inversely


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Write 5/30 in lowest terms

Answers

5/30 in lowest terms is 1/6
You have to find the lowest common factor of 5 and 30.  It is 5. 

5 / 5 = 1
30 / 5 = 6

5/30 = 1/6

Which polynomial is a perfect square trinomial A. 25x^2-20x-16
B. 9a^2-30a-25
C. 25b^2-15b +9
D. 16x^2-24x+9

Answers

Answer:

D

Step-by-step explanation:

16x^2 - 24x + 9

(4x - 3)^2

(4x - 3) (4x - 3)

16x^2 - 12x - 12x + 9

16x^2 - 24x + 9

robert is taking a trip to another town.he has traveled 72 miles and knows that 45% of his trip is complete.how many total miles is roberts trip.

Answers

You can create an equation: x/72=100/45 Then cross multiply and divide
72*100=7200
7200 divided by 45=160
Therefor the trip was 160 miles long

The system of equations is inconsistent.What are the missing values?

y=2/3x+3

y=__/__x+5

Answers

y=2/3x+3
y=(z/t)x+5
so subsitute and solve
3/2x+3=(z/t)x+5
subtract 5 from both sides
3/2x-2=(z/t)x
divide both sides by x
3/2-2/x=z/t

so combine
3/2-2/x
3/2 times x/x-2/x times 2/2=3x/2x-4/2x=(3x-4)/2x

the values are (3x-4)/2x

y= ((3x-4)/(2x))x+5

Explain how you can tell 2pi > Srt of 35 without finding the decimal number estimate of either number.

Answers

Answer:

Step-by-step explanation:

it should be clear 2pi  > 6.

Also, sqrt(35) < 6 because 6x6=36.

So, 2pi > 6 > sqrt(35)

Thus 2pi > sqrt(35)

:)

Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?

Answers

Each student worked on 115 math problems.

Step-by-step explanation:

Given,

Problems solved in 4 hours = 8970

Number of students in competition = 78

As each student solved same number of problems, we will divide the total problems solved by number of students to find the amount of problems solved by one student.

Problems solved by one student = (8970)/(78)

Problems solved by one student = 115

Each student worked on 115 math problems.

Keywords: division

Learn more about division at:

#LearnwithBrainly

Each student works 115 problems.

Explanation:

I'm going to copy and paste the question here, and bold important info.

"Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?"

Now everything not bolded? Forget about it. All you need to know is that there are 78 students. They all do 8,970 # of problems. And all the students do the same amount. Now you just have to divide the # of probs. by the amount of students in the competition, and you have your answer.

8970÷78=115

Hope that helped!