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Tom [10]
2 years ago
15

Need help with this one ​

Mathematics
1 answer:
noname [10]2 years ago
6 0

Answer:

<em>f(g(x)) = </em>\frac{x}{7}<em> ; g(f(x)) = 7x - 30</em>

Step-by-step explanation:

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The polynomial equation x^3+x^2=-9x-9 has complex roots +/-3i What is the other root? Use a graphing calculator and a system of
Ierofanga [76]
  For this case what you can do is factorize the <span>polynomial equation</span>, which would be left like follows
 x ^ 3 + x ^ 2 + 9x + 9 = 0
 (x + 1) (x ^ 2 + 9) = 0
 Resolving, we have that the missing root is
 x = -1
 Answer
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7 0
3 years ago
Convert the complex number z = 4 - 10i from rectangular form to polar form.​
mrs_skeptik [129]

ANSWER

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

EXPLANATION

The polar form of a complex number ,

z = x + yi

is given by:

z = r( \cos( \theta)  + i \sin( \theta) )

where

r =  \sqrt{ {x}^{2} +  {y}^{2}  }

The given complex number is:

z = 4 - 10i

r =  \sqrt{ {4}^{2}  +  {( - 10)}^{2} }

r =  \sqrt{16  + 100}

r =  \sqrt{116}  = 2 \sqrt{29}

And

\theta=  \tan^{ - 1}(\frac{ y}{x} )

\theta=  \tan^{ - 1}(\frac{  - 10}{4} )

\theta=  292 \degree

Hence the polar form is :

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

6 0
3 years ago
HELP I NEED HELP ASAP
Anni [7]
I think the answer is letter D.

:) have a good day
7 0
2 years ago
g A scientist testing the effects of a chemical on apple yield sprays an orchard with the chemical. A second orchard does not re
rodikova [14]

Answer: determine that the chemical increases apple yield

Step-by-step explanation:

Based on the Data provided or gotten after harvesti of the  orchard the scientists would be able to conclude that the Chemical yielded an increase in the apples. Because the plantation the chemical was applied in produced an average of 60 apples per tree unlike the other plantation which didn’t use the chemical and came up short with 40 apples per tree.

7 0
2 years ago
Solve rational inequality x²+x-6/x²-3x-4≤0?​
Fittoniya [83]

Answer:

Step-by-step explanation:

x

2

+

x

−

6

=

(

x

+

3

)

(

x

−

2

)

x

2

−

3

x

−

4

=

(

x

−

4

)

(

x

+

1

)

Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:

x

=

−

3

,

−

1

,

2

,

4

Note that when

x

is large, the

x

2

terms will dominate the values of the numerator and denominator, making both positive.

Hence the sign of the value of the rational expression in each of the intervals

(

−

∞

,

−

3

)

,

(

−

3

,

−

1

)

,

(

−

1

,

2

)

,

(

2

,

4

)

and

(

4

,

∞

)

follows the pattern

+

−

+

−

+

. Hence the intervals

(

−

3

,

−

1

)

and

(

2

,

4

)

are both part of the solution set.

When

x

=

−

1

or

x

=

4

, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).

When

x

=

−

3

or

x

=

2

, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.

Hence the solution is:

x

∈

[

−

3

,

−

1

)

∪

[

2

,

4

)

graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}

8 0
3 years ago
Read 2 more answers
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