What is d divided by 2

Fit a quadratic function to these three points: (-2,8), (0, -4), and (4, 68) Respuesta

zloy xaker [14]

Answer:

f(x) = 4x^2 + 2x - 4.

Step-by-step explanation:

Let the quadratic function be y = f(x) = ax^2 + bx + c.

For the point (-2, 8) ( x = -2 when y = 8) we have:

a(-2)^2 + (-2)b + c = 8

4a - 2b + c = 8 For (0, -4) we have:

0 + 0 + c = -4 so c = -4. For (4, 68) we have:

16a + 4b + c = 68

So we have 2 systems of equations in a and b ( plugging in c = -4):

4a - 2b - 4 = 8

16a + 4b - 4 = 68

4a - 2b = 12

16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:

8a - 4b = 24

Adding the last 2 equations:

24a = 96

a = 4

Now plugging a = 4 and c = -4 in the first equation:

4(4) - 2b - 4 = 8

-2b = 8 - 16 + 4 = -4

b = 2.

3 0

2 years ago

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. among the 1500 respondent

valentinak56 [21]

Answer:

0.01 is alpha level

Step-by-step explanation:

Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.

i.e. p = proportion of people who like chocolate pie = 0.12

Margin of error = ±0.03

The value of q =1-\hat p , =1-0.12 = 0.88

The sample size n is given as 1500. Therefore, n=1500

The confidence level is given as 99%

Hence alpha = 1- confidence level

=1-0.99=0.01

Hence answer is 0.01

4 0

2 years ago

Read 2 more answers

Solve the following equation for the variable x. ( 1/27 is a fraction )

igor_vitrenko [27]

The answer is,
$\frac{10935}{59048}$
Also equivalent to about, 0.185188.

5 0

3 years ago

Read 2 more answers

Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$