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harina [27]
3 years ago
6

F (x) = (x - 6)2(x + 2)2

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

Step-by-step explanaf(x) = (x^{2} - 6x + 36) . (x^{2} + 2x + 4)\\f (x) = (x^{4} + 2x^{3}  + 4x^{2} - 6x^{3} - 12x^{2} - 24x + 36x^{2} + 72x + 144)\\f(x) = (x^{4} - 4x^{3} + 28x^{2} + 48x + 144)

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Students in a science class are divided into 6 equal groups with at least 4 students in each group. Identify an inequality that
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Find the missing side of this right<br> triangle.<br> Х<br> 6<br> 10
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3 years ago
A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true
kodGreya [7K]

Answer:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 542, \pi = \frac{301}{542} = 0.555

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 - 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.52

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 + 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.59

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

5 0
3 years ago
What would be the Y-intercept in equation #1 of the following system? (Graphing)
Serhud [2]

I don't know what you mean by equation 1. I assume you mean x + y = 7 is equation 1.

If so, solve for y as step 1.

x + y = 7

y = - x + 7

The y-intercept is 7.

Your directions do not say to solve the system of equations.

If you need to solve by graphing, use DESMOS or your graphing calculator. The solution of the system of equations is the point on the graph where the two equations meet or touch each other.

5 0
3 years ago
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