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Verdich [7]
3 years ago
6

You can either make a graph or write a ratio to find the slope

Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

The slope is:

  • m = 2

Step-by-step explanation:

Given the table

Pounds, x        3        4        5       6

Cost, y             6        8        10     12

Taking any two points let say (3, 6) and (4, 8)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(3,\:6\right),\:\left(x_2,\:y_2\right)=\left(4,\:8\right)

m=\frac{8-6}{4-3}

Refine

m=\frac{2}{1}

m = 2

Therefore, the slope is:

  • m = 2

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)
IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3

5 0
2 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
givi [52]

Answer:

1,9

Step-by-step explanation:

3 0
3 years ago
Find the circumference of each circle. Use 3.14 or 22/7 for pi!. Round to the nearest hundredth, if necessry
telo118 [61]
Is this Jose Galvan all you have to do is multiply 3.14by your circumference
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3 years ago
Four more than the quotient of a number and 3 is equal to 6
pentagon [3]

Answer:

\frac{n}{3}+4=6

Step-by-step explanation:

If you need to solve the equation and don't know how let me know

8 0
3 years ago
Read 2 more answers
in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had
jasenka [17]

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

5 0
3 years ago
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