Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:Which equation best models the relationship between x and y?
y = −5x + 40
y = −40x + 280
y = −40x + 200
y = −5x + 200
Answers
The linear equation that best models the relationship between x and y is y = -40x + 200.
What is the graph of a linear equation?
The graph of a linear equation is a straight line graph and the function of a linear equation assumes a slope-intercept form y = mx + b
where;
- Slope = m
- y-intercept = b
The slope = rise/run
From the graph, we need to rise 200 units to the origin and run 5 units to the horizontal positive axis.
So,
- Slope = -200/5
- Slope = -40
The y-intercept is the region at which the line cuts the vertical axis.
- y-intercept = (0,200)
Now, putting it all together and using the slope-intercept form, the equation that best models the relationship between x and y is:
y = -40x + 200
Learn more about the graph of a linear equation here:
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Answers
Answer:
1.2 hours
Step-by-step explanation:
Given the following :
Time taken by Adam to shovel driveway = 2 hours
Time taken by BEV to shovel highway = 3 hours
How long will it take them working together
Hence Adam's rate of shoveling per hour :
Reciprocal of time taken = 1/2 per hour
BEV's rate will also be ;
1/ 3 per hour
If both work together ; that is combining the rate :
1/2 + 1/3 = (3 + 2) = 5/6
Combined rate = 5/6
Total fraction of shoveled area = 1:
Time taken = area / rate
= 1 ÷ (5/6)
= 1 × (6 / 5)
= 6/5
= 1 1/5 hours = 1.2 hours
Answers
Answer:
y=5x/6-10/6
y=5x/6-5/3 ( simplified)
Step-by-step explanation:
5x-6y=10
slope intercept form :
-6y=-5x+10
y=-5x/-6 +10/-6
y=5x/6-10/6
y=5x/6-5/3
(1,1)
(1,0)
(-5,0)
Answers
basiclaly switch x and y
(x,y) now becomes (y,x)
(0,2) becomes (2,0)
answe ris (2,0) or aA
Answers
x = 3
y = 5
3x^2 – 2y
= 3(3)^2 - 2(5)
=> 3(9) - 10 = 17
And 2x^2– 3y
=> 2(3)^2 - 3(5)
=> 2(9) - 15 = 3
17 - 3 = 14
This gives 3x^2 – 2y exceeding 2x^2– 3y by 17 - 3 = 14
When you use x = 3 and
y = 5 in the given expressions, 3x2 – 2y = 3(3)2– 2(5) = 27 – 10 = 17 and
2x2 – 3y = 2(3)2 – 3(5) = 18 – 15 = 3.
Then subtract 3 from 17....17-3 = 14.
14 is your answer.
Hope I helped ;]
Answers