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kaheart [24]
3 years ago
12

What is the slope of the line 3y = 6x - 1?​

Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 6x - 1 ( divide all terms by 3 )

y = 2x - \frac{1}{3} ← in slope- intercept form

with slope m = 2

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recall your d = rt, distance = rate * time.


let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.


they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.


When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}

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3 years ago
Is 1/2 closest to 0 or 1
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7 0
3 years ago
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

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Let's call x the week number.

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y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

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We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

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m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

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Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

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