For the following function, one zero is given. Find all other zeros.

f(x)=x3-7x2+17x-15; 2-i

Answers

Answer 1

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

  =0

f(-1)= -1 +7-7-15

    = -16

f(3)=27+7(9)+21-15

   =96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

    = 0

f(5)=5^3+7(5)^2+7(5)-15

   =320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

     =0    

f(15)=(15)^3+7(15)^2+7(15)-15

    =5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

     =-1920

Hence the rational roots are 1,-3,-5 !


Related Questions

(88)(√75)
HELP ASAP....​

Answers

Answer:

sqr75=sqr25*sqr3=5*sqr3

88(5*sqr3)

decimal = 762.10235533

Answer:

4403

Step-by-step explanation:

Given:

88√75

Solution:

88•√(5^2 * 3)

Rewrite the expression as:

88•(5√3)

Multiply 88 into 5:

440√3762.102 ( 3 decimal place )

A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?

Answers

Answer:

The answer is C

Step-by-step explanation:

I got a 100% on edge

Answer:

The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."

Step-by-step explanation:

got it right on edge

A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?

Answers

Answer:

Step-by-step explanation:

r = 2.1 feet

h = 14 feet

V = pi r^2 h

V = 3.14 * 2.1^2 * 14

V = 193.85

Let h = 28 feet

V = pi * r^2 * h

V = 3.14 * 3.2^2 * 28

V = 387.72

If you divide 387.72 by 2 you get 193.86

The difference in the hundreds place comes about because of the rounding that took place.

The answer to your question is you must double the height,

Help as soon as possible

Answers

fish A is 2 inches and fish B is 4 inches

Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)

Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)

Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)

Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)

Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)

PLEASEEEE HELP!DUE IN 1 HOUR! A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $7000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?

Answers

Answer:

Step-by-step explanation:

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?

? colonials

? ranches

For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.

Let x be the number of colonial houses built.

Let y be the number of ranch-style houses built.

Now, we can set up the objective function, which represents the total profit:

Total Profit (P) = 3000x + 7000y

The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):

30,000x + 40,000y ≤ 3,800,000

The number of building lots used cannot exceed the total number of lots available, which is 100:

x + y ≤ 100

Also, we need to consider that the number of houses (x and y) must be non-negative:

x ≥ 0

y ≥ 0

Now, we have the linear programming model with the objective function and constraints.

We need to find the values of x and y that maximize the total profit (P).

Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.

The feasible region is a polygon with vertices at the following points:

(0, 0)

(0, 95) (Intersection of x = 0 and y = 95)

(80, 20) (Intersection of x = 80 and y = 20)

(100, 0) (Intersection of x = 100 and y = 0)

Now, evaluate the objective function (P) at each corner point:

(0, 0): P = 0

(0, 95): P = 665,000

(80, 20): P =  740,000

(100, 0): P = 300,000

The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses

Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.

To learn more on Linear programming click here:

https://brainly.com/question/30763902

#SPJ3

You start at (-4, -1). You move up 2 units and right 6 units. Where do you end?

Answers

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )

Simplify. Show all steps
-25y - (5y - 41)

Answers

the answer is -30y + 41

steps:

•distribute the negative sign within the numbers in the parenthesis (you can also input a one to that negative sign for an easier visual)

-25y - 5y + 41

•next, combine your like terms. so add 25y and 5y, but keep the negative sign.

-30y + 41

•there are no more like terms so that is your final answer! hope this helps :)

help pls dawg i aint tryna get an F

Answers

Answer:

The answer is d hope this helps!!

Step-by-step explanation:

Divide by lomg division

arithmetic sequence, help with #18 plz

Answers

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

Solve for x, rounding your answer to two decimal places.
х=log,75

Answers

Answer:

x=1.88

Step-by-step explanation:

Solve the inequality 2x^2-6>0

Answers

Answer:0

Step-by-step explanation:

Which sign makes the statement true?
A. <
B. >
C. =

Answers

It is B correct please
B makes the statement true

Gary weighed 187 pounds after graduating
high school. 5 years later he weighs 228
pounds. By what percentage has his weight
changed?
Plz helppppppp

Answers

eat chili snacks and spicy to burn fat

24 peppermint; 8 to 5

Answers

Five eighths of 24 is 15

Which of the tables represents a function? (1 point)
Table A
Table B
Table C
Table D
Input Output Input Output Input Output Input Output
4 2
5 9
4 3
4 7
9 2
9 3
7 9
4 3
6 5
2 7
8 7
6 5
8 5

Answers


Table C I think

I don’t know what a table is, like what numbers are in every table so I can’t exactly tell you unless you tell me. But it’s not a function of any of the x values repeat

Answer

in think it's (C)

Step-by-step explanation:

what is 2 equivalent fractions of this 2/5=_=_

Answers

Answer:

4/10, 6/15, 120/300, etc.

Equivalent fractions can be anything, as long as they divide to .4 (2/5).

Basically any equivalent fraction

[tex]\frac{2*n}{5*n}[/tex]

with n as any integer, is an equivalent fraction to 2/5 since

[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]

Question
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.

a. Write an expression in simplest form that represents the difference between the number of subscriptions your friend has sold and the number you have sold.

b. After 5 weeks, your friend has sold
more subscriptions than you.

Answers

Answer:

Your friend sold (5w + 1) subscriptions.

You sold (3w + 4) subscriptions.

The difference between what your friend sold and what you sold is

(5w + 1 ) - (3w + 4)

= 5w + 1 - 3w - 4

= 5w - 3w + 1 - 4

= 2w - 3

Answer: 2w - 3

If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.

Brainliest plz

A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?

Answers

Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?

Step-by-step explanation:

Answer:

705.8823529411765

Step-by-step explanation:

You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his stock in Company B was worth $3500. The stock in Company A has increased 7% since last year and the stock in Company B has increased 1%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). pls asap

Answers

Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%

SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.

Answers

Answer:

158.4

Step-by-step explanation:

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

Please help me! Im a little bit stumped!

Answers

Answer:

2x+34=4x+20

14=2x

x=7

Step-by-step explanation:

So the answer is 7

Answer:

some bedmas laws you have to use

first do the 4(x+5) since its distubutive

you get 2x + 34 = 4x + 20 normally i like to keep x positive so i dont have to divide by -1 at the end so subtract 5 to the other side qnd subtract 2x to the other side and you get

2x= 14

x = 7 is the answer

how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%​

Answers

Answer

Step-by-step explanation:

Answer:

$112.50

Step-by-step explanation:

1.5% = 0.015

$2500 × 0.015 × 3 = $112.50

factor the polynomial f(x) = X^3+5x^2+7X+3

Answers

The answer is (X+1)^2(x+3)

Answer:

Step-by-step explanation:

Third level polynomial, so three factors

Only whole numbers, so only whole number x⁰ factors

whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3

let's try (x + 3) as a factor

                    x² + 2x + 1                      

x + 3 | x³ + 5x² + 7x + 3

      -   x³ + 3x²

                  2x² + 7x

              -   2x² + 6x

                              x + 3

                          -   x + 3

                                    0

so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²

x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)

Can anyone help me with the first question? It’s for my study guide I would really appreciate it

Answers

The answer would be Quadratic

Which of the following function pairs are inverses? ​

Answers

it’s B: f(x) = 5x +3 and g(x) = (x+3)/5

Select the correct answer from each drop-down menu.
What is the seventh step in the accounting cycle?
The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the adjustments made in the .

Answers

Answer: The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the Journaling adjustments made in the Worksheet (Trial Balance).

Step-by-step explanation:

The steps of the cycle in this course are as follows:

1. Analyze Financial Transactions

2. Journal Transactions

3. Post Journal Entries to Ledger

4. Prepare Trial Balance

5. Make Adjustments to Trial Balance

6. Journal Adjustments and Create Adjusted Trial Balance

7. Prepare Financial Statement

8. Journal and Post Closing Entries

9. Prepare Posting Closing Trial Balance

Accountants love to make up new words and make it complicated so they can get paid more, hence why the swapped the word 'Worksheet' with 'Trial Balance' :p

what is 8/10 in simplest form

Answers

i search it up and found its  4/5

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