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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.

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In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributiv
LekaFEV [45]

Answer:

7x + 6 = 6x - 3

Step-by-step explanation:

2(x+3) + 5x = 3(2x-1)

Distribute

2x + 6 + 5x = 6x - 3

Combine like terms

7x + 6 = 6x - 3

hope this helps

4 0
2 years ago
What is the value of x? Enter your answer in the box. mm Triangle V T K with segment T Y such that Y is on segment V K, between
lapo4ka [179]

Answer:

  VK = x = 98 mm

Step-by-step explanation:

TY is the bisector of angle T, so it divides segments of the triangle proportionally. That is, ...

  VY/VT = KY/KT

  VY = VT·KY/KT = (57 mm)·68/192.2 = 30 mm

Then

  VK = VY + YK = 30 mm + 68 mm

  VK = 98 mm

5 0
3 years ago
Read 2 more answers
Choose the correct simplification of 8x2(4x 2x2 − 1). (5 points) group of answer choices 32x4 − 16x3 8x2 32x4 16x3 − 8x2 16x4 −
nekit [7.7K]

The second option is the correct answer

16x^{4}+40x^{3} -24x^{2}

The expression given to us is:

8x^{2} (5x+2x^{2}-3 )

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}

40x^{3} +16x^{4}-24x^{2}

Rearranging the above expression in descending order of power we get:

16x^{4}+40x^{3} -24x^{2}

From the given options we can see this is the second option. Hence the second option is the correct answer.

Learn more about equation here brainly.com/question/14180340

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8 0
1 year ago
A die is rolled 3 times. What is the probability of getting 1’s on each roll?
meriva

Answer: The answer is around 16.66%

4 0
3 years ago
Read 2 more answers
How many ways can an IRS auditor select 3 of 9 tax returns for an audit?
Olegator [25]

Answer:

84ways

Step-by-step explanation:

This is a problem on combination. Combination has to do with selection. For example if r objects are to be selected from a pool of n objects, this can be done in nCr ways.

nCr = n!/(n-r)!r!

9C3= 9!/(9-3)!3!

9C3= 9!/(6)!3*2*1

9C3= 9*8*7*6!/(6)!6

9C3= 9*8*7*/6

9C3= 9*8*7*/6

9C3= 504/6

9C3= 84ways

8 0
2 years ago
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