Based on the Rational Zero Test, which of the following is
NOT a possible zero of f(x) given below after the reciprocal
of LCD is factored out?

f(x)=x^3 -5x + (2/5)

(A) 1/2
(B) 1/5
(C) 1
(D) -1

Answers

Answer 1

The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.

(a) 1/2 is not a possible zero of the function

The function is given as:

[tex]f(x) =x^3 - 5x + \frac 25[/tex]

For a function,

[tex]f(x) = px^n +......q[/tex]

The list of possible roots is:

[tex]Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

Multiply both sides of [tex]f(x) =x^3 - 5x + \frac 25[/tex] by 5

[tex]5f(x) = 5x^3 - 25x + 2[/tex]

So, we have:

[tex]p= 5[/tex]

[tex]q = 2[/tex]

The factors are:

[tex]p =\pm 1, \pm 5[/tex]

[tex]q =\pm 1, \pm 2[/tex]

So, the possible roots are:

[tex]Roots = \pm\frac{1,2}{1,5}[/tex]

Split

[tex]Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}[/tex]

Hence, 1/2 is not a possible zero of the function

Read more about rational zero test at:

https://brainly.com/question/12860313


Related Questions

How I can apply the distribute property to this question?

Answers

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

3c+2=20
c
ok anwer this

Answers

Answer:

3c =20-2

3c = 18

c = 18÷3

=6

Answer:

Here is Your answer

Step-by-step explanation:

Hope u Like it

C = 2/17

Plz Mark me As Brainiest

Please someone help, I want to know if I’m correct

Answers

Answer:

Yes youre correct

Step-by-step explanation:

NEED HELP ASAP…..plz help

Answers

I’m pretty sure the answer is D. I’m sorry if I’m wrong

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

EASY QUESTION! GET EASY POINTS!

if i paid $3.50 a month, how much would i pay a year?

EASY BRAINLIEST!
yw:)

Answers

Answer:You will pay $42 yearly. Step-by-step explanation:1 Year = 12 months=> 1 month = $3.50=> 12 months = $3.50 x 12=> 12 months = $42Conclusion:

Therefore, you will pay $42 after a year.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Answer:

42

Step-by-step explanation:

3.5*12=42

What is the factored form of n^3+512 (please answer) picture provided

Answers

[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length ​

Answers

Answer: c = 6.5I

Step-by-step explanation:

C = the cost of the fabric

I = the length of the fabric

C : I = 13 : 2

C : I = 32.50 : 5

C : I = 6.5

C = 6.5I

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

Enter the value of :

Answers

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Answers

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope of the lne(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The slope of the line perpendicular is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:https://brainly.com/question/19417700

I need this points for algebra help please

Answers

Answer:

ur mom

Step-by-step explanation:

lol

Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =

Answers

Answer:

y = -5x - 4

Step-by-step explanation:

yeah-ya............ right?

What is 100 x (81 + 283) - 67 x 4

Answers

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

There are 36 boys for every 54 girls

Answers

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?​

Answers

Answer:

$14.61

Step-by-step explanation:

14.05 * 1.04 = 14.612

a desk costs $145. what is the total cost of 23 desks?

Answers

Answer:

145*23=3335$

by multiplying cost by sum of desk

i just need to know if this is correct and if i need to fix anything

Answers

Answer:

its correct

Step-by-step explanation:

What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.

Answers

The simplified form of the given expression is [tex]5\sqrt{2}[/tex].

Given expression,

[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].

We have to simplify the above expression.

So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]

First solve for the square root,

[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]

[tex]7\sqrt{2} -2\sqrt{2}[/tex]

[tex]5\sqrt{2}[/tex]

Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].

For more details follow the link:

https://brainly.com/question/2719671

Solve the inequality.


-7x - 4 > 17

Answers

Answer:x<-3

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]

22 - (+12) - (-4) + (-6)​

Answers

Answer:

8

Step-by-step explanation:

+- = --- = ++- = -++ = +

22-12+4-6 = 8

22 - (+12) - (-4) + (-6) = 22 - 12 + 4 - 6 = 8

ANSWER: 8
Ok done. Thank to me :>

What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?

Answers

Do polynomial like this:

-3x+3-4x = -7x +3

Final answer :

-7x+3

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

What is 22.6% of 65 ​

Answers

First convert the percentage to decimal

22.6/100 = 0.226

0.226 x 65 = 14.69

Answer:

14.69

Step-by-step explanation:

22.6% = 0.226

65 × 0.226 = 14.69

please give me the answer (click on file) ​

Answers

Answer:

x = 122

Step-by-step explanation:

which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)​

Answers

Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Orlando to Denver was ​$220 . Now the cost is ​$320 . What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

The answer is

1. 45.5% (Airline tickets)

The new price (all together) will be

2. 370.1

Step-by-step explanation:

1.);

Going by 10.

220 + 15.5% = 254.1 (Incorrect, not what were looking for)

220 + 25.5% = 276.1 (Incorrect, not what were looking for)

220 + 35.5% = 298.1 (Incorrect, not what were looking for)

220 + 45.5% = 320.1 (Correct, it's what were looking for, but it's .1 above... I hope this doesn't matter.. Right...?)

2.);

220 + 45.5% + 50 = 370.1

I hope this helped.. Have an amazing day!

(Brainliest will highly be appreciated!)

What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution

Answers

Answer: No solution

Step-by-step explanation:

VX+12-12=x-12

VX=x-12

VX/x=x/x-12/x= X≠0

Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?

Hurry I need this :(

Answers

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

help ASAP please PLS​

Answers

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

3x+12-6x less than or equal to -9

Answers

Answer:

less than, it is the answer

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