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Svetllana [295]
3 years ago
8

According to the textbook, the median age in the United States is closest to 13. 23. 35. 49.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0
I can't find the answer tonight. I accidentally left my textbook in school.
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Find all the zeros of the equation x^4-6x^2-7x-6=0
rusak2 [61]

Answer:

The zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

a_0=6,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}

-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2

=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\

=x^3-2x^2-2x-3

Again factor using the rational root test, we get

=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)

Using the zero product rule, we have

x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Therefore, the zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}


4 0
3 years ago
Read 2 more answers
Pls answer this for me, this is the remainder theorem for grade 9 so help me.
professor190 [17]

Answer:

1.  3

2. 2

Step-by-step explanation:

| |  

x | + | 1 | | x^2 | + | 4 x | - | 2

x^3 | + | 5 x^2 | + | 2 x | + | 1

x^3 | + | x^2 | | | |  

| | 4 x^2 | + | 2 x | |  

| | 4 x^2 | + | 4 x | |  

| | | | -2 x | + | 1

| | | | -2 x | - | 2

| | | | | | 3

__________________________________________

| |  

x | - | 5 | | x^2 | - | x | + | 0

x^3 | - | 6 x^2 | + | 5 x | + | 2

x^3 | - | 5 x^2 | | | |  

| | -x^2 | + | 5 x | |  

| | -x^2 | + | 5 x | |  

| | | | | | 2

| | | | | | 0

| | | | | | 2

5 0
3 years ago
Read 2 more answers
How to do: -8(1-a)=-7-(1-3a)
Fiesta28 [93]

In this question, you're solving for a.

Solve for a:

-8(1 - a) =-7 -(1 - 3a)

<em>use the distributive property</em>

-8 + 8a = -7 -(1 - 3a)

-8 + 8a = -7 - 1 + 3a

<em>combine like terms</em>

-8 + 8a = -8 + 3a

<em>subtract 3a from both sides</em>

-8 + 5a = -8

<em>add 8 to both sides</em>

5a = 0

<em>divide both sides by 5</em>

a = 0

7 0
3 years ago
.<br>A<br>bakery bakes 200 Loaves per hour<br>In how much time the bakery will<br>bake 1000 Loaves​
alex41 [277]

Answer:

It will take 5 hours for the bakery to bake 1000 loaves.

5 0
2 years ago
Please do 2-6.I’ll give someone Brainiest!!
bazaltina [42]

Answer:

r*4, m+15, 21/k, m-16, 17/g, p+24 .    tell me if this is wrong i may have another answer

Step-by-step explanation:

3 0
3 years ago
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