Standard form of a line is Y=mX+b
where m is slope
4x+2y=-6
2y=-4x-6
y=- 2x - 6
m= - 2 and y intercept is b=-6
We use ratios here.
For every 10 samples, the total weight is 0.01 lb.
We write
10 / 0.01.
We want to find the weight of 10,000 samples.
We write
10,000/?
These two ratios must equal each other.
(10 / 0.01) = (10,000 / ?)
If you know how to cross-multiply, then we can do that here.
0.01 * 10000 = 10 * ?
100 = 10 * ?
The unknown value is 10, which is your answer.
Check the picture below, so the parabola looks more or less like so.
the vertex is always half-way between the focus point and the directrix, and since the parabola is opening downwards, the "p" distance is negative.
![\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Bvertical%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28y-%20k%29%3D%28x-%20h%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Ck%2Bp%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7By%3Dk-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer:
Option B is correct
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
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Given the equation as:
Using distributive property,
Combine like terms;
Subtract 40 from both sides we have;
Divide both sides by -8 we have;
h = 14 hours
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Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
Answer:
4.76
Step-by-step explanation:
it just is
