Select the correct answer.

between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=

Juli2301 [7.4K]

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

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

Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First,

Tju [1.3M]

Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

<h3>What is algebraic expression?</h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,

$6a = 42$

First, Amelia must substitute 8 for the variable using parentheses as,

$6(8) = 42$

To simplify, Amelia must. multiply 8 by 6.

$48 \neq 42$

The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.

Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Learn more about the algebraic expression here;

brainly.com/question/2164351

4 0

2 years ago

Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences o

valina [46]

Answer:

its c

Step-by-step explanation:

i just did it in edge hope this helps

6 0

2 years ago

Read 2 more answers

Solve, using linear combination.<br><br> 3x – y = 4<br> 2x + y = 6

BlackZzzverrR [31]

X=2
y=2
hope this helps
ps. tiger algebra is a really good website!

5 0

3 years ago

Guys help me please I need this in September 27,2018

Dmitrij [34]

Okay so first off first off I believe 4-6 is linear because it is increasing at a steady rate and 7 is exponential because it has a constant rate of growth. I’m not 100% I’m correct on that. 8 is linear, 9 is exponential.
For 4: f(x)=-1/2x + 1
5: f(x)=-2x +4
That’s all I know right now. I hope it helps a little bit

5 0

2 years ago