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emmasim [6.3K]
3 years ago
9

Find all rational roots for p(x)=0

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer

C. (5/2, -1/3)

Step by step explanation

Here we use the rational root theorem.

The possible roots are

+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6

We have to use the synthetic division to find the correct root of this function.

Here the roots are 5/2 and -1/3

Others are not roots of this function.

Let's check x = 5/2  with synthetic division.

5/2)   6   -13   13   -39   -15

-               15    5    45    15

           --------------------------

             6     2   18     6     0

Similarly x = -1/3 is also root of this function.

Answer: C. (5/2, -1/3)


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Answer:

You can tell from the picture

Step-by-step explanation:

they intercept

4 0
3 years ago
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diam
professor190 [17]
Any times you see the phrase: "Rate of Change", or even sometimes just the word "Rate" think slope. 

The word slope is just a fancy word that means the rate of change. 

Rate of Change is just a fancy phrase meaning how much does something change over some amount of time. 
So in this case our rate of change will have the units of inches per year. 

Let's get to the problem at hand! 
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Let's go over the formula for slope:

m = (y2 - y1) / (x2 - x1) 

First we will need to label each of the "coordinated points (the two numbers that go together in a pair)" with either (x1,y1) or (x2,y2). 

A Giant Red Oak's diameter in 1965 was 248 inches. Keep in mind time is ALWAYS going to be X in rate of change problems (and most all problems for that matter).  

(1965,248) 
(X1,Y2)

(2005,251)
(X2,Y2)

Plug in the values into the equation!
m = (y2 - y1) / (x2 - x1)
m = (251 - 248) / (2005 - 1965) 
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Type that into a calculator to get a decimal value over 1.
m = 0.075 inches per 1 year. 
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m = 0.075in / 1 year
8 0
3 years ago
2.
victus00 [196]

Answer:

With a vertex (h, k) at (0, 3) and given that  a = -3, then the equation of this parabola in vertex form is as follows:

    y = a(x - h)2 + k

    y = -3(x - 0)2 + 3

    y = -3x2 + 3

Step-by-step explanation:

7 0
3 years ago
Calculate the surface area of the object below
Yakvenalex [24]

Answer:

<h2>351. 86 yd² </h2>

Step-by-step explanation:

As = 2πrh + 2πr²

where r = 4,  h = 10

plugin values into the equation:

As = 2π (4) 10 + 2 π (4)²

As = 251.33 + 100.53

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8 0
3 years ago
Place the correct coefficients<br> x²y³ +<br> in the difference.<br> xy² +<br> y
antiseptic1488 [7]

The difference between the two polynomials is 11x²3y³ - 4xy².

<h3>What is the Difference between the Polynomials?</h3>

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

Learn more about polynomials on:

brainly.com/question/2833285

#SPJ1

8 0
2 years ago
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