$\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}$

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well $\bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad a&\quad b &c
\end{array}
\\\\

\\\\
\qquad \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

5 0

3 years ago

Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500{ mL} of sauce. Raphael's tomato sauce has 12 cloves of

igomit [66]

For perfect solution we need to have :- 8 colves in 500ml solution

500 ml has 8 cloves

1 ml has 8 / 500 cloves

100ml has 8 / 500 * 100 = 8/5 = 1.6 cloves

Raphael's mixture

900 ml has 12 cloves

1 ml has 12 / 900 cloves

100 ml has 12 / 900 * 100 = 12 / 9 = 1.33 cloves

so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution so it is not garlicky enough. ( option B)

5 0

3 years ago

Read 2 more answers

The cost of fencing a Square Garden is 400 at the rate of 1 per metre find its length

grin007 [14]

Here Is The Answer:

Perimeter of garden = 400 m

side of square = 400 / 4

= 100 m

Area of garden => 100 m x 100 m

=> 10000 m^2

Hope It Helps You!!!

Have A Nice Day!!! ^_^

8 0

3 years ago