1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-BARSIC- [3]
3 years ago
15

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=

0 represents 1995. Based on this model, in what year did the population of samburg reached it's minimum?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0
\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)
You might be interested in
.072 divided by 345.000 round to the nearest tenth
tino4ka555 [31]

Answer:

0.0

Step-by-step explanation:

Used a calculator

8 0
3 years ago
The sum of two numbers is 35. One number is 7 less than the other. Find the numbers.
Sladkaya [172]

Answer:

14+21

Step-by-step explanation:

because, 14+21 =35

21 is 7 more bigger than 14

5 0
3 years ago
Two sides of a triangle have measures of 6 inches and 12 inches. Which measure could be the length of the third side?
kondaur [170]

Answer: Yes an isosceles triangle has at least two sides that have equal measures.

3 0
3 years ago
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
3 years ago
If a recipe calls for 1.5 tsp salt, how many cups of salt do you need if you are going to make
Alex Ar [27]
All u have to do is 1.5 times 64
4 0
3 years ago
Read 2 more answers
Other questions:
  • Marcia claims that the GCF for (2x2 + 4xy + 8xy4) is 8x2y4.
    15·1 answer
  • The tax on a $600 vase is $54. What should be the tax on a $1700 base
    6·2 answers
  • The local humane society has 5 cats, 9 dogs, and 2rabbits that need home. What fractional part of these pets are cats?
    9·1 answer
  • 68 divided 503 using 2 compatible numbers
    6·1 answer
  • rick won 27 tickets playing a game to get the prize he needs to win at least 30 tickets how many more tickets can he win to get
    5·1 answer
  • The equation y = 15x represents the total number of pages read in x days.
    6·3 answers
  • Boba cost $4.00 and left a tip. The total was $4.36. What % did you tip?
    10·2 answers
  • What are the real solutions to the equation 5x2 + 29x + 20 = 0?<br><br>​
    12·2 answers
  • Please answer this:<br><br> 27+4×(8−4)
    8·2 answers
  • What is the slope of a line that is parallel to the line y= 3/4 x + 2?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!