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valina [46]
3 years ago
15

Consider a polynomial p(x) with a degree of 9. What is the largest possible number of x-intercepts and the largest possible numb

er of relative max/min?
Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

The largest possible number of x intercept is 9 while the largest possible number of relative max/min is 8

Step-by-step explanation:

For any polynomial of degree n with distinct and real solutions, it can have at most n different x intercepts. This would imply it can have at most 9 distinct real solutions.

It can also have at most n-1 relative max/min in alternating order. This is best illustrated when such polynomial is sketched on a graph.

For example a quadratic expression is a polynomial of degree 2 and has at most 2 distinct solutions and 1 relative max/min.

In this question, for the polynomial, its degree (n) = 9

So it can have at most 9 x intercepts and at most 8 relative max/min.

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Imma give brainliest just help me
ruslelena [56]

Answer: 3:4

Step-by-step explanation: because the ratio of a :b is 2:3 which means b is 3 . And the ratio of a:c is 3 :4 which means c is 4.

And 3:4 is in simplest form .

Hope it helps.

5 0
3 years ago
Read 2 more answers
Nine times the sum of a number and 26 is at most -25
kobusy [5.1K]

Answer:

x ≤  -259/9

Step-by-step explanation:

Change into a number equation   9(x + 26) ≤ -25

3 0
3 years ago
15. What is the dependent and independent variable in this scenario?
Montano1993 [528]
The dependent variable is 5 and the independent is 15
7 0
3 years ago
the local state university has a ratio of 5 professors to every 86 students there are 9460 students at State University what is
Phoenix [80]
As a ratio, 5:86 represents students to teachers

We can set up the equation as 5/86=x/9460

Multiply 9460 to both sides

5x9460/86=x

47300/86=x

x=550

There are 550 professors
7 0
3 years ago
The coordinates of the endpoints of line segment C D are C(3, 8) and D(6, -1). Express the length of line segment C D in simples
8_murik_8 [283]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
C&({{ 3}}\quad ,&{{ 8}})\quad 
%  (c,d)
D&({{ 6}}\quad ,&{{ -1}})
\end{array}\qquad 
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{(6-3)^2+(-1-8)^2}\implies CD=\sqrt{3^2+(-9)^2}
\\\\\\
CD=\sqrt{9+81}\implies CD=\sqrt{90}\quad 
\begin{cases}
90=2\cdot 3\cdot 3\cdot 5\\
\qquad 2\cdot 3^2\cdot 5\\
\qquad 10\cdot 3^2
\end{cases}
\\\\\\
CD=\sqrt{10\cdot 3^2}\implies CD=3\sqrt{10}
3 0
3 years ago
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