1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
2 years ago
14

Determine whether the graph of the equation is increasing or decreasing. Write the correct answer before the number. Show your s

olutions.
5y = x - 2​​
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0

Answer:

Increasing

Step-by-step explanation:

We are given the function:

\displaystyle \large{5y = x - 2}

Since y is the function of x; we isolate y by dividing both sides by 5.

\displaystyle \large{ \frac{5y}{5}  =  \frac{x - 2}{5} }

Thus:

\displaystyle \large{ y =  \frac{x - 2}{5} }

Simplify the expression, separating the fraction.

\displaystyle \large{ y =   \frac{x}{5}   -  \frac{2}{5} }

Familiar with this equation? This function is a linear function.

Now to the increasing and decreasing part. There are several ways to find whether if the graph is increasing.

  1. By substituting values
  2. Graph Visualization (Or look at the graph)

I will demonstrate the first method. Start from substituting negative to positive, if we keep substituting higher numbers and we get higher y-value then the graph is increasing.

If we substitute higher numbers but we get lower y-value then the graph is decreasing.

<u>S</u><u>u</u><u>b</u><u>s</u><u>t</u><u>i</u><u>t</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>

y = -1/5 - 2/5 = -3/5

y = 0-2/5 = -2/5

y = 1/5-2/5 = -1/5

y = 2/5-2/5 = 0

y = 3/5-2/5 = 1/5

y = 4/5-2/5 = 2/5

y = 5/5-2/5 = 3/5

y = 6/5-2/5 = 4/5

...

As so on, as we see, when x keeps increasing, y increases too.

Therefore, the graph is increasing.

You might be interested in
Find the sum 112.1+ 1.2
ozzi
112.1 plus 1.2 is 113.3
7 0
3 years ago
Read 2 more answers
How do you multiply radical expressions
bekas [8.4K]
Divide and simplify radical expressions that contain a single term.
3 0
3 years ago
Which of the following are the correct answers??
Amanda [17]
Either B and D. Both seem pretty random lol
6 0
3 years ago
Read 2 more answers
What is 4/11 in simplest form ​
Naddika [18.5K]

Answer: It's already in it's simplest form.

* Hopefully this helps:) Mark me the brainliest:))!!!

5 0
3 years ago
Read 2 more answers
Need help with this ASAP
Mariana [72]

Answer:

Sequence: 13, 20, 27

Rule: Tn = 7n + 6

Step-by-step explanation:

The 3 other numbers that can form an arithmetic progression is 13, 20, 27...

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

a is the first term = 13

n is the number of terms

d is the common difference = 20 - 13 = 27 - 20

d = 7

Substitute

Tn = 13 + (n-1)(7)

Tn = 13 + 7n - 7

Tn = 7n+13-7

Tn = 7n + 6

This gives the required rule

5 0
3 years ago
Other questions:
  • What is the factored form of x2 – x – 2?
    13·2 answers
  • An aquarium 4 ft long, 1 ft wide, and 2 ft deep is full of water. (give your answers correct to the nearest whole number.)
    15·1 answer
  • A computer company uses the function f(h) = 50h + 75 to calculate the total repair bill, f(h), for h number of hours worked. Fin
    14·2 answers
  • What is 13,579 rounded to the nearest ten thousand?
    13·1 answer
  • qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
    7·1 answer
  • Which of the following is the solution to the equation 25(z + 4) = 125? (6 points) z = 5.5 z = 3.5 z = −2.5 z = −0.5
    14·2 answers
  • 1 kg of seawater contains, on average, 35 g of salt. How many grams of seawater contains 4.2 g of salt?
    6·1 answer
  • Helpppppppppppppppppp is this right
    14·2 answers
  • The sum of the series {1(2/3)}²+{2(1)3)}²+3²+{3(2/3)}²+....to 10 term is
    8·1 answer
  • Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!