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3 years ago

Please help me with this question

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

P = (2, 3)

Step-by-step explanation:

P is a local minimum, so can be found from the upper zero of the derivative.

y' = 0 = 3x^2 -8x +4

0 = (3x -2)(x -2)

x = 2/3, x = 2

So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:

y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3

The coordinates of P are (2, 3).

A graphing calculator confirms this result.

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he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 160016

Diano4ka-milaya [45]

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

$\hat p = 0.34$

$P_o = 0.31$

The test statistics can be computed as:

$Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}$

$Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}$

$Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}$

$Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}$

$Z = 2.60$

4 0

3 years ago

It costs $100 to rent a bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expressi

AfilCa [17]

15*4+100

15+15+15+15 = 60

60+100 =

$160

7 0

3 years ago

Read 2 more answers

How can you convert the Heun’s Method into the Implicit Heun’s Method? Show an example

g100num [7]

Answer:

Heun's method is also known by its other name called Modified Euler methods. This method is used in computational or mathematical science.

Step-by-step explanation:

Euler method is the method that is also pronounced in two similar stages such as Runge- Kutta methods. This method has been named after Dr. Heun.

This method is used for the solution of ordinary differential equations with its given values. There is some method to calculate this method. The improved Runge Kutta methods are also called the Butcher tableau method, the other methods are also called the Ralston methods.

4 0

3 years ago

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oksian1 [2.3K]

Given :-

a² - 2a - b² = 0
2b + 2ab = 0

To find :-

Value of a and b .

Solution :-

Taking second equation:-

2b + 2ab = 0
2b ( 1 + a ) = 0
2b = 0 or (1+a) = 0
b = 0 , a = -1

Substitute in first equation :-

a² - 2a - b² = 0

When b = 0 ,

a² - 2a - 0² = 0
a² - a = 0
a( a -1) =0
a = 0 , 1

When a = -1 ,

(-1)² - 2*(-1) - b² = 0
1 + 2 - b² = 0
b² = 3
b = ±√3

Answer :-

a = 0,1 ; b = 0
a = -1 , b = ±√3

8 0

2 years ago

How would you graph the solution set of x - 6 < - 3?

melomori [17]

Move all terms not containing x to the right side of the inequality. You should get x<3

This is what your line should look like. The circle will be open because the is not line under the less than sign. And it will be going toward the left because it is less than greater than is graphed to the right.

5 0

3 years ago