What is the unit rate for 14 lb for $2.99

1 answer:

6 0

14lb is for $2.99

We then make a fractional form for lb/$
So, 14lb/$2.99

We divide 14lb/$2.99 we get, 4.7lb/$

<span>Unit rate </span><span>The rate for one unit of given quantity is called a unit rate. These unit rates are again considered as one quantity. Examples are </span><span>km/h which is derived for instance given that the distance is 10km and the time to be there is 5 hours hence what is the velocity. Which is v=d/t henceafter, 2km/h. Another example is pressure which is force divided by the area. 1 N/m2 which is 5 N times 5 m2, the pressure is 1 N/m2 <span> </span></span>

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

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<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$