All categories

2 years ago

Find the quadractic function to model the values in the table.

Mathematics

2 answers:

Shtirlitz [24]2 years ago

7 0

Answer: y=3x^2+3x-3

(the first option)

arsen [322]2 years ago

4 0

Answer:

3y²+3x-3

Step-by-step explanation:

the first choice

You might be interested in

the number of hours,h, it takes to wash c numbers of cars at a school fundraiser is inversely proportional to the number of stud

Alex787 [66]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{h}ours to wash a car, is inversely proportional to \underline{s}tudents working on it}}{h=\cfrac{k}{s}}$

3 0

2 years ago

Simplify: (-2)(-3)+(4)(-8) Simplify: (3)(-6)-18

koban [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

1/2x+1/4y=6. 1/5x+1/3y=1

Ierofanga [76]

$\frac{1}{2}x+\frac{1}{4}y=6 \ \ \ |\times 2 \\
\frac{1}{5}x+\frac{1}{3}y=1 \ \ \ |\times (-5) \\ \\
x+\frac{1}{2}y=12 \\
\underline{-x-\frac{5}{3}y=-5} \\
\frac{1}{2}y-\frac{5}{3}y=12-5 \\
\frac{3}{6}y-\frac{10}{6}y=7 \\
-\frac{7}{6}y=7 \\
y=7 \times (-\frac{6}{7}) \\
y=-6 \\ \\
x+\frac{1}{2}y=12 \\
x+\frac{1}{2} \times (-6)=12 \\
x-3=12 \\
x=12+3 \\
x=15 \\ \\
\boxed{(x,y)=(15,-6)}$

3 0

2 years ago

Read 2 more answers

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is c

Scilla [17]

Answer:

27 feet for the south wall and 18 feet for the east/west walls

Maximum area= $486\ ft^2$

Step-by-step explanation:

Optimization

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

$8x+12y=432$

Solving for y

$\displaystyle y=\frac{432-8x}{12}$

The area of the office space is

$A=xy$

Replacing the value found above

$\displaystyle A=x\cdot \frac{432-8x}{12}$

Operating

$\displaystyle A= \frac{432x-8x^2}{12}$

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

$\displaystyle A'= \frac{432-16x}{12}=0$

Operating

$432-16x=0$

Solving

$x=432/16=27$

$x=27\ feet$

Calculating y

$\displaystyle y=\frac{432-8\cdot 27}{12}$

$y=18\ feet$

Compute the second derivative to ensure it's a maximum

$\displaystyle A'= \frac{-16x}{12}$

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

$A=xy=27\ ft\cdot 18\ ft\\\\\boxed{A=486\ ft^2}$

5 0

2 years ago

Please helpppp me I really confused

IrinaK [193]

Answer:

The answer would be D

Step-by-step explanation:

This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.

3 0

2 years ago