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LenaWriter [7]
2 years ago
12

State the rule obeyed by the variables in each relation diagram below

Mathematics
1 answer:
labwork [276]2 years ago
6 0

Answer:

y = 2x + 1

Step-by-step explanation:

You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.

3 times 2, and plus1

gives you 7.

Test it on the other numbers.

-1 times2, and plus1

2(-1)+1 = -1

2(0)+1 = 1

2(1)+1 = 3

2(2)+1 = 5

It works for all the numbers.

You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"

(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.

If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.

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I need help with this question
IgorC [24]

The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

<h3>Dimensional Analysis</h3>

From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:

Total gallons in a week. = 0.5gallons/1 day * 7days/1

Total gallons in a week = 3.5 gallons

Since 1 gallon. = 16 cups, then;

3.5 gallons = 16cups/1gallon * 3.5gallons

3.5 gallons = 56 cups

Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

Learn more on dimensional analysis here: brainly.com/question/18559676

#SPJ1

5 0
1 year ago
Can someone help me with this question?
arlik [135]

Try this solution:

1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;

2. m∠B=m∠M=35° and m∠C=m∠N=95°;

3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°

answer: 50°

5 0
3 years ago
What does the slope of graph show about the Hardware stores selling price for the rope?
SashulF [63]

Answer:

If the price is increasing or decreasing

Step-by-step explanation:

The slope is a visual representation of the cost over time.

3 0
2 years ago
Read 2 more answers
For maths answer this question please<br> 4x-9=6-9
snow_tiger [21]

Answer:

x = 1.5

Step-by-step explanation:

First, calculate 6-9, which is -3.

Then we add 9 on both sides so that on the left, we only have 4x, and on the right, we have 6.

Then divide by 4 on both sides to get x = 1.5

5 0
3 years ago
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Use the graph to answer the question.
stealth61 [152]
A 180 counterclockwise rotation about the origin followed by a reflection of the y-axis
6 0
2 years ago
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