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Attempted but just couldnt understand (25Points)

Rashid [163]

Answer:

a) Function:Yes

b) Domain: $-5\:$

c) Range: $-5\le y\le 3$

Step-by-step explanation:

The given graph passes vertical line test hence it is a function

The given function has x-intercepts at $x=-4.5, x=-1,x=3.5$

We can therefore write this function in factored form as $y=a(2x+9)(x+1)(2x-7)$

There is a y-intercept at (0,-2)

$-2=a(2*0+9)(0+1)(2*0-7)$

$-2=-63a$

$a=\frac{2}{63}$

The required function is

$y=\frac{2}{63}(2x+9)(x+1)(2x-7)$

b) The domain refers to all values of x for which this function is defined.

The domain from the graph is $-5\:$ because there are holes at the end of the graph.

c) The range is the value of y for which x is defined or the graph exists.

From the graph the range is $-5\le y\le 3$

5 0

2 years ago

If we consider the simple random sampling process as an experiment, the sample mean is a. a random variable. b. always zero. c.

marta [7]

The sample mean is an estimate of the population mean.

The sample mean is exactly equal to the population mean

<h3>How to determine the true statement</h3>

When the population mean is known; the value of the population mean can be used as the sample mean.

This is so because:

The sample mean is an estimate of the population mean.

And it is represented as:

$\bar x = \mu$

Hence, the true statement is that the sample mean is exactly equal to the population mean

Read more about sample mean at:

brainly.com/question/12892403

5 0

2 years ago

VIIIe in the standard (x,y) coordmate pralit nas

Savatey [412]

The coordinates of point B are (-4 , -2) ⇒ answer H

Step-by-step explanation:

In any circle

The diameter of the circle passing through its center
The center of the circle is the mid-point of all diameters

If (x , y) are the coordinates of the mid-point of a line whose end

points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then

$x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ Point C is the center of a circle

∵ AB is the diameter of the circle

∴ C is the mid point of AB

∵ A = (2 , 6) ⇒ $(x_{1},y_{1})$

∵ B = $(x_{2},y_{2})$

∵ C = (-1 , 2) ⇒ (x , y)

- Use the rule of the mid-point above

∵ $-1=\frac{2+x_{2}}{2}$

- Multiply both sides by 2

∴ -2 = 2 + $x_{2}$

- Subtract 2 from both sides

∴ $x_{2}$ = -4

∴ The x-coordinate of point B is -4

∵ $2=\frac{6+y_{2}}{2}$

- Multiply both sides by 2

∴ 4 = 6 + $y_{2}$

- Subtract 6 from both sides

∴ $y_{2}$ = -2

∴ The y-coordinate of point B is -2

The coordinates of point B are (-4 , -2)

Learn more:

You can learn more about the circle in brainly.com/question/9510228

#LearnwithBrainly

7 0

2 years ago

What is the solution to the inequality?

Yanka [14]

The answer is c, x>-2

3 0

3 years ago

In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction times

MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as $\frac{1}{10} \times$ the digit 4 in 3.8463

That is

$\frac{1}{10} \times 0.04 = 0.004$

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0

3 years ago