State the number of complex zeros and the possible regional zeros for the function
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State The Number Of Complex Zeros And The Possible Regional Zeros For The Function Show Steps

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Answer 1

Answer:

  D)  2 complex zeros; rational zeros among ±{1, 5, 7, 35}

Step-by-step explanation:

The signs of the coefficients of the polynomial are (+ + + +). They are all the same; there are 0 sign changes. When odd-degree terms change sign, the signs are (- + - +). There are 3 changes: -→+, +→-, -→+.

Descarte's Rule of Signs tells you the lack of sign changes among the coefficients means there are 0 positive real roots. When the signs of odd-degree terms are changed, there are then 3 sign changes, indicating 1 or 3 negative real roots and 2 or 0 complex roots.

  There are possibly 2 complex roots.

__

The Rational Root Theorem tells you any possible rational roots will be divisors of the constant term, 35. Those divisors are ±1, ±5, ±7, ±35.

  Possible rational roots are ±1, ±5, ±7, ±35.

_____

Additional comments

A graphing calculator shows the one rational root to be x=-5. The other two real roots are irrational (-3±√2). All are negative, as predicted.

__

Complex roots always come in conjugate pairs, so there will always be an even number of complex roots. This means an odd-degree polynomial will always have at least one (1) real root.

We can shorten the list of possible rational roots by remembering that there are 0 positive real roots. Then possible rational roots are -1, -5, -7, -35. In this problem, you're merely supposed to apply the rule, and not refine the result.

Changing the signs of odd-degree terms is equivalent to reflecting the function over the y-axis. That suddenly makes negative real roots into positive real roots, so the sign change rule can be applied as for positive real roots.

State The Number Of Complex Zeros And The Possible Regional Zeros For The Function Show Steps

Related Questions

1-25 Cash paid to Hari Rs.12500 in full settlement of his
uired: a. Journal Entries b. Hari Account​

Answers

Answer:

i dont know please ask to raju landge urfa tapori anna

What is the image of (0, -8) after a reflection over the line y = -x?
Submit Answer

Answers

Answer:

(8,0)

Step-by-step explanation:

could be negative 8 but it said positive 8

positive works

The required reflection of the point (0, -8) on the line y = -x is (8, 0).

To determine the image of (0, -8) after a reflection over the line y = -x.

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).

Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).

Learn more about equation here:

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#SPJ2

21.
Ify= 1+x, find
x
dy.
/
dx

Answers

Answer:

  A.  2/(1 -x)²

Step-by-step explanation:

The derivative of a ratio is given by the formula ...

  d(u/v) = (v·du =u·dv)/v²

Here, we have ...

  u = 1+x; du = 1·dx

  v = 1 -x; dv = -1·dx

Then ...

  [tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]

__

Additional comment

The formula used above is a combination of the power rule and the product rule.

d(u^-1) = -du·u^-2 = -du/u² . . . . power ruled(uv) = u·dv +v·du . . . . . . . . product rule

Replace ? with an expression that will make the equation valid.

Answers

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

answer urgent please!!

Answers

Answer:

15

Step-by-step explanation:

[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]

[tex]v+w[/tex]

[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]

~

An author wants to write at least 100 pages of a book in a month. He already has 25 pages of the book written and there are 15 days left in the month. The inequality 15x+25≥100 represents this situation, where x represents the number of pages that the author should write in a day. Solve this inequality for x. Graph the solution set on the number line below. Identify one value that is in the solution set of the inequality.

Answers

X=5
15x+25>100
-25 -25
15x>75
—- —-
15x 15x
X>5
Act like there is a line under the >sign

Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

There are 150 males and 50 females participating in a marathon. What percent of the participants are female?

Answers

Hey there!

Answer: 25% of participants are females

Add both M and F = 200

50 + 50 + 50 + 50 = 200

=> 50 + 150 = 200

each 50 is 25% of 200

Therefore, the percentage of females in the race is 25%

Answer:

50+150=200

female=50

50÷200×100=25%

percentage of female=25%

need help on this math question, by the way the first choice is incorrect, i chose that and got it wrong... thanks

Answers

W = P - 2L / 2 is the correct answer


Help help math math ASAP math

Answers

Answer:

[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes . Now, proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Please help asap! I will gave brainlest!

Answers

Answer:

option D.

Step-by-step explanation:

1) cosx=cotx;

[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]

[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]

where n,k∈Z;

2) if x∈[0;2π], then x=π/2; 3π/2.

Note, the greek letter 'Θ' is replaced with 'x'.

Answer:

π/2, 3π/2

Step-by-step explanation:

Given :-

0 ≤ θ < 2π

To Solve :-

cosθ = cotθ

Solving :-

cosθ = cotθcosθ = cosθ/sinθ1 = 1/sinθsinθ = 1θ = π/2, 3π/2

What is the length of segment AB

Answers

Answer:

length of AB is 10

Step-by-step explanation:

rise=8

run=6

[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]

[tex] \sqrt{100} = 10[/tex]

Can someone help me with this please?

Answers

4

Step-by-step explanation:

The green line has a slope of because it is parallel with the red line

Lines which are parallel have same slope

Sam is developing a metric to try to measure how generous an individual is. In order to evaluate whether it is actually measuring generosity, Sam is checking to see if there is any correlation between a person's score on the metric and the amount of money they donate to charities or give to others in need. In other words, Sam is evaluating the _____ of the metric.

Answers

By checking to see if there is correlation, Sam is evaluating the criterion validity of the metric.

How to determine the measured parameter of the metric

From the question, we understand that Sam tests the metric to check for the presence or absence of correlation in the metric.

This, in other words means that Sam is checking the criterion validity of the metric.

Hence, the true statement is that Sam is evaluating the criterion validity of the metric.

Read more about correlation at:

https://brainly.com/question/14289293

Please help asap! I will gave brainlest!

Answers

Answer:

270°

Step-by-step explanation:

Given :-

0° ≤ θ < 360°

To Find :-

sinθ = -1

Solving :-

We know sin90° = 1Therefore, for it to be negative, it needs to be rotated by 180°⇒ 90° + 180° = 270°

PLEASE HELP!!! FAST I HAVE 2 MINUTES! MULTIPLE CHOICE! PLEASE SHOW A LITTLE WORK FAST!

Answers

Answer:

A. y=-2x+1

Step-by-step explanation:

rise over run rise(up or down) 2 run(right or left) 1

Please help ASAP! It would be greatly appreciated. Thank you.

Answers

Answer:

2one

Step-by-step explanation:

what is 5/8 + 1/12? and how do you do it?

Answers

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24

The diagram show two congruent polygons joined together

Answers

Answer:

10

Step-by-step explanation:

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer is in the image, proof also has given

PLLSSS hEELPPPP
What is the inverse of the following statement?
If two triangles are congruent, then their corresponding angles are congruent.
A. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
B. If two triangles are not congruent, then their corresponding angles are not congruent.
C. If two triangles are congruent, then their corresponding angles are congruent.
D. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Answers

Answer:

A

Step-by-step explanation:

A, because you just have to flip the cause and effect.

If two triangles are congruent, then their corresponding angles are congruent.

So, if the corresponding angles are congruent, then the triangles are congruent

You can use this property for problems similar to this one, that have cause and effect relationships.

In a given school, there 240 boys and 260 girls.
a) What is the ratio of the number of girls to the number of boys?
b) What is the ratio of the number of boys to the total number of pupils in the school?

Answers

Girls=260Boys=240

Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]

[tex]\\ \rm\Rrightarrow 13:12[/tex]

#2

Total pupils=240+260=500

Ratio

[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]

[tex]\\ \rm\Rrightarrow 12:25[/tex]

Answer:

a) 13:12

b) 12:25

Step-by-step explanation:

a) ratio of girls to boys

260:240 or 13:12

b) ratio of boys to the total number of pupils

240:(240+260) or 240:500 or 12:25

The basic way to find this is by simplifying.

-------------------------------------------------------------------------------------------------------------

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

I did it but it didn't have my answer on the list lol

Answers

Answer:

B) 1 8/27

Step-by-step explanation:

First, change all mixed fractions into improper fractions:

2 1/3 = 7/3

1 4/5 = 9/5

7/3 ÷ 9/5

Next, flip the second fraction, and change the division sign into multiplication:

7/3 x 5/9

Multiply across:

7/3 x 5/9 = 35/27

Change into a mixed fraction:

35/27 = 27/27 + 8/27

1 8/27 is your answer.

~

What is the image point of (3, 7) after a translation right 5 units and up 1 unit?

Answers

i don’t understand ur question

Answer:( 8,8)

Step-by-step explanation:

I need help if you absolutely don’t know please don’t but a random answer down 11:24 a.m est

Answers

Answer:

i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000

estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000

also i'm very sorry if this didn't help you! but i really hope this did help you out a little

Write the equation of a line in slope-intercept form with a slope of 7/
4 and a y-intercept of −3 .

Answers

y=7/4x-3 or y=1.75x-3

2. A business is purchasing t-shirts with their logo on them. Timmy's T-Shirt
Shop charges a $35 set-up fee and $10 per shirt. Shirts-O-Rama charges a $55
set-up fee and $5 per shirt. USE A TABLE to determine how many shirts would
need to be purchased for the total cost to be equal at both stores and what that
total cost would be.

Answers

Answer: In order for you to have an equal cost of $75 both companies will need to produce 4 T-shirts.

Can someone explain how they got the answer for this?

Answers

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

ABCD ~ JKLM. Write a proportion containing BC and JM

Answers

Answer:

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Please help me find the equation xx

Answers

9514 1404 393

Answer:

(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

__

This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°

The average person needs to eat 2000 calories everyday to remain healthy. How many more calories should you eat to remain healthy?​

Answers

Answer:

This depends on the person, try measuring how many calories you eat in 1 day. By gathering that information you can determine if you are either eating more calories or less

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