6) the cost of a video game is $22.00

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4

7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

6 0

3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

The area of a square is 15.1 units². Estimate the length of the sides. Explain how you estimated.

kykrilka [37]

If it is just an estimate then it would be around 4. 15.1 is pretty close to 16 which has a perfect square root of 4. Since it is a square both length and width would be the same. To check it you can just square 4 or 4 times 4 and get 16. Hopefully I helped! And sorry if I am wrong.

BTW the exact answer would be 3.88~ (square root of 15.1) just incase you needed that. :)

6 0

3 years ago

Can someone please help quick !

Oxana [17]

Answer:

Area of a triangle is base times height divided by 2. The formula for finding the area of a parallelogram is easiest to just break it down into two triangles and 1 square/rectangle. Then just find the area of all then add them together to get the final area.

7 0

3 years ago

Options: y= -2x - 6 y= 2/3x + 6 y= -2/3x + 6 y=2x + 6

melisa1 [442]

Answer:

y = - $\frac{2}{3}$ x + 6