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ValentinkaMS [17]
3 years ago
5

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

 

 <em> x = 2  </em>         1       5       -9      -7

   <u>                   0       1       12     6</u>

  <u>                 1      6         3     </u><em><u> -1   </u></em><u>         </u>

 The quotient is x² + 6x +3

       Remainder  = -1      

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Write the following in slope-intercept form.
Umnica [9.8K]

Answer:

\huge\boxed{y=4x-7}

Step-by-step explanation:

Linear equations will always be in the form y=mx+b, where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (\frac{\Delta y}{\Delta x}), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a 17-1=16 change.

The x value goes from 2 to 6, which is a 6-2=4 change.

Now that we know both changes, we can divide the change in y by the change in x.

\frac{16}{4}=4

Now that we know the slope (4), we can plug it into our equation (y=mx+b).

y=4x+b

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

  • 1 = 4(2) + b
  • 1 = 8+b
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Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

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Hope this helped!

4 0
3 years ago
Which of the following is NOT true about the tails in a​ distribution?
Alla [95]

Answer:

The answer is D: The inequality symbol in the alternative hypothesis points away from the critical region.

Step-by-step explanation:

We usually have a one-tailed and two-tailed tests. Examples of a one-tailed test are the left-tailed and the right tailed test. These tests are referred to as one-tailed tests because the critical region or rejection region is located in only one tail. The critical region of a left or right tailed test is that region that correlate with the rejection region and is usually located in extreme left or right tail. Furthermore, tails in a distribution are usually the extreme critical regions also known as the rejection regions which are bound by critical values. However there is nothing that suggests the statement in Option D when talking about tails in a distribution.

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4 years ago
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If you're looking for the answer in terms of pi, 64pi is the answer.
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Answer:

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