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Otrada [13]
3 years ago
7

Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x4 + 3x3 - 5x2 - 9x - 2

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
Polynomials in the fourth degree are called quartic equations. In solving the roots of polynomials, there are techniques available. For quadratic equations, you use the quadratic formula. For cubic equations, you use the scientific calculator. But for quartic equations and higher, it is very complex. The method is very lengthy and can get very messy because you introduce a lot variables. So, I suggest you do the easiest method to estimate the roots.

Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are -3.73, -1, -0.28 and 2.

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In one hour, 17 cars drive through an intersection. Two-fifths of the 17 cars fail to come to a complete stop at the stop sign.
Rasek [7]

Answer:

Step-by-step explanation:

When you have a number (17) and want to know some fraction (2/5) of that number, you should multiply the number by the fraction.

17 * (2/5)

= (17*2)/5

= 34/5

= 6.8

You can then round this number up --> about 7 cars.

3 0
3 years ago
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Find the value of in the triangle shown below.<br> 0<br> =<br> 80°<br> 7<br> 7<br> 2<br> 9
DanielleElmas [232]

Answer:

x = 50°

Step-by-step explanation:

180° - 80° = 100°

100° ÷ 2 = 50°

50° + 50° + 80° = 180°

4 0
3 years ago
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A textbook has 428 numbered pages, starting with 1.
kolezko [41]

Answer:

1/428 or 0.00233644859% chance

Step-by-step explanation:

Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!

5 0
2 years ago
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What are 2 alike fractions with a difference of 1/3 and with denominators that are not 3
egoroff_w [7]
2/6 and 4/6 
(just multiplied 1/3 and 2/3 by 2)
3 0
3 years ago
The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
Lena [83]
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix? 
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>

<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>

<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
8 0
3 years ago
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