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Leni [432]
4 years ago
11

a train track runs parallel to a road represented by the equation y=4x+17.A train station along the track is located at the poin

t (6,-1). What is the equation of the line that represents the train track ?
Mathematics
1 answer:
TiliK225 [7]4 years ago
6 0
Y -(-1) = 4(x - 6) <=> y = 4x -27;
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Which of the following equations is correct? select three that apply
strojnjashka [21]

Answer:b,e,f

Step-by-step explanation:

3 0
3 years ago
Two water pumps are filling a pool. One of the pumps is high power and can fill the pool 5 hours before the other can do. Howeve
9966 [12]

L = hours for the slower pump to fill the pool

L - 5 = hours for the high power pump, since it can do it in 5 hours less.

since the slower pump takes L hours, the faster pump takes then L - 5 hours.

we know both pumps together take 3 hours to do <u>half of the pool</u>, so that means that to fill up <u>the whole pool it takes them 6 hours</u>.

since the slower pump can do it alone in L hours, in 1 hour it has done 1/L of the whole thing.

likewise, since the faster pump can do it in L-5 hours, in 1 hour alone it has done 1/(L-5) of the whole job.


\bf \stackrel{\textit{slower pump's rate}}{\cfrac{1}{L}}~~~~+\stackrel{\textit{faster pump's rate}}{\cfrac{1}{L-5}}~~~~=~~~~\stackrel{\textit{total done in 1 hour}}{\cfrac{1}{6}} \\\\\\ \textit{let's multiply both sides by }\stackrel{LCD}{6(L)(L-5)}\textit{ to do away with the denominators} \\\\\\ 6(L)(L-5)\left( \cfrac{1}{L}+\cfrac{1}{L-5} \right)=6(L)(L-5)\left( \cfrac{1}{6} \right)


\bf 6(L-5)+6L=(L)(L-5)\implies 6L-30+6L \\\\\\ 12L-30=L^2-5L\implies 0=L^2-17L+30 \\\\\\ 0=(L-15)(L-2)\implies L= \begin{cases} \boxed{15}\\ 2 \end{cases}


now, we can't use L = 2, because, the whole job by both is done in 6 hours, there's no way the slower pump can do it in less than that, so L = 15.

now if L = 15, then L - 5 = 10.

5 0
4 years ago
Add the negatives.<br><br><br><br> +4 - 3 - 4 + 2 - 1<br><br> I just dont get it
vfiekz [6]

Answer: -2

Step-by-step explanation:

since there are no multiplication you can simply go from left to right doing simple math. You start from a +4 that would be a positive 4, you subtract -3 so you get +1 then you subtract -4 and the result is -3 (negative 3) so now you are currently working with numbers lower than 0, adding +2 will make it -1 and finally you subtract for -1 and that will make it -2. Hope it's what u needed

4 0
3 years ago
Read 2 more answers
Using the data below, what is the equation for the line of best fit? Remember, put your answer in y = ax + b form and round any
ratelena [41]
If we fit the data as calories as a function of wt loss/week, we need to arrange the data first from lowest to highest wt loss/week lbs and calories. Then, the set of points can be plotted in a graph and a graphical method of line fitting can be used. Curve fitting programs (which are also in the calculator) can be used. The result is:
y = -266.5741x + 2246.5116

The value of R² is 0.7109. The fit is not very good since R² is quite far from 0.99.
5 0
3 years ago
Solve the inequality of -2/3 &gt; z/5
patriot [66]

Answer:

\boxed{\bold{Z < \frac{-10}{3} }}

Explanation:

Simplify both sides of inequality

-2 / 3 > 1 / 5 z

Flip equation

1 / 5 z < -2 / 3

Multiply both sides by 5

(1 / 5 z) 5 < (-2 / 3) 5

Z < -10 / 3

6 0
3 years ago
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