DATE<br> PAGE NO<br> a) In which quadant quadrant does point<br> (-4,2) lie?

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

kobusy [5.1K]

So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.

the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.

$\bf \begin{array}{lccclll}
&\stackrel{mL}{amount}&\stackrel{\%}{concentration}&\stackrel{amount}{concentration}\\
&------&------&------\\
\textit{first brand}&x&0.09&0.09x\\
\textit{second brand}&y&0.14&0.14y\\
------&------&------&------\\
mixture&230&0.13&29.9
\end{array}$

so, whatever "x" and "y" are, we know that x + y = 230.

and we also know that their concentration amounts will also add up, 0.09x + 0.14y = 29.9.

$\bf \begin{cases}
x+y=230\implies \boxed{y}=230-x\\
0.09x+0.14y=29.9\\
----------\\
0.09x+0.14\left(\boxed{230-x} \right)=29.9
\end{cases}
\\\\\\
0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05}
\\\\\\
x=46$

how many milliliters will it be for the second brand? well, y = 230 - x.

3 0

3 years ago

Rewrite ^3 sqrt 27x-81-5 to make it easy to graph a translation. Describe the graph.

iragen [17]

First we have to rewrite this function.Instead of :^3 sqrt (...) we can write : (...)^(1/3).
f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parent function is y = x^(1/3). The zero of this function is ( 0, 0 ).
Then it will be stretched vertically by a factor of 2 and translated: 3 units right and 5 units down.

8 0

3 years ago

Number 3 please need help

kirza4 [7]

Im pretty sure it would be 4

4 0

3 years ago

Helppppppppppppppppppppppppp

Reptile [31]

Answer:

-4/3

Step-by-step explanation: