Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Step-by-step explanation:
Given two points are:
Slope intercept form of line is given as:
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
Putting the values
Putting the value of slope in slope-intercept form we get
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
Putting the value of b
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
Answer:
The answer is 15 weeks.
Step-by-step explanation:
Hope that helps. :)
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3.625 as a fraction would be 3 5/8 or 29/8.
You would get that by converting 3.625 to 3 625/1000. You do that because there is a 3 before the decimal- (that is a whole #) and three digits after the decimal (that means it goes into the thousandths place, so the denominator is 1000), Then you take the numbers after the decimal and place it over the 1000. Then you would simply the 3 625/1000 by 125. and get 3 5/8 or as a mixed # 29/8. (Multiply the 8 and 3 to get 24 and add the numerator (5) to get 29. The denominator stays the same.
Hope this helps!
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9514 1404 393
Answer:
40 minutes
Step-by-step explanation:
The lines are graphed. The point of intersection (A) is where the two sign makers will have made the same number of signs in the same number of minutes. The answer to the question is the x-coordinate of that point, 40 minutes.
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The equation you want to solve is the one that sets Kiran's y-value equal to Lin's y-value
y = y
1/2x +5 = 1/4x +15
1/4x +5 = 15 . . . . . . . . subtract 1/4x
1/4x = 10 . . . . . . . . . . . subtract 5
x = 40 . . . . . . . . . . . . multiply by 4
At 40 minutes, both will have the same number of signs made.
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<em>Alternate solution</em>
Often, you are told to "clear fractions" as a first step in solving equations containing fractions. Here, you would do that by multiplying both sides by 4.
1/2x +5 = 1/4x +15
2x +20 = x + 60 . . . . . multiply by 4
x + 20 = 60 . . . . . . . . . subtract x
x = 40 . . . . . . . . . . . . . subtract 20
