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4 years ago

Factor by grouping.. . 3x^2 + 7x – 6. A. (3x – 2)(x – 3) . B. (3x – 2)(x + 3) . C. (x + 3)(3x + 2) . D. (3x + 2)(x – 3)

1 answer:

6 0

The correct answer is letter "<span>B. (3x – 2)(x + 3)."
</span>
This is how to factor the given polynomial:
<span>3x^2 + 7x – 6
(3x - 2) (x + 3)

It takes trial and error in order to get the final factor of a given polynomial. It has to be exact and correctly done.</span>

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The cost for a pack of 8 padlocks is 19.20. Find the unit price in dollars per padlock. if necessary, round your answer to the n

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19.2 / 8 = 2.4
$2.40 is your answer

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3 years ago

When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate

svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

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2 years ago

A line contains points M(1, 3) and N(5, 0). What is the slope of MN? -4/3 -3/4 3/4 4/3

german

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the degree of the polynomial −1/4abc+2b^2 ?

sasho [114]

This on is very easy go to my website so i can explain it better for you

<span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w</span>

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3 years ago

Read 2 more answers

Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority

Andre45 [30]

Answer:

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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 interval $1-\alpha$ , 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:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that $n = 4000$ and $\pi = \frac{2250}{4000} = 0.5625$

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 - 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5471$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 + 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5779$

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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3 years ago