Use the remainder theorem to verify this statement. (x+5) is a factor of the function f(x)= x^3+3x^2-25x-75. Find the (blank) of f(x) and x+5. The (blank) of this operation is 0. Therefore, (x+5) is (blank) of function f. So f(blank) =0.
Blank choices:
1. product, sum, difference, or quotient
2. sum, discriminant, quotient, or remainder
3. the opposite, the simplified form, not a factor, a factor
4. -5, -75, 75, 5

Answers

Answer 1

Answer: I got this answer wrong but I go two right look at the step by step explanation

Hopefully that helped a little

Step-by-step explanation:

Answer 2

The expression (x + 5) is a factor of given function f(x) So the remainder of the function will be zero.

Remainder theorem:

The given function,

[tex]f(x) = x^3+3x^2-25x-75[/tex]

Equate (x + 5) is equal to 0.

x + 5 = 0

x = -5

Substitute x = -5 in given equation.

[tex]f(x) = x^3+3x^2-25x-75\\\\f(-5) = -5^3+3(-5)^2-25(-5)-75\\\\f(-5) = 0[/tex]

         

Since f(-5) = 0. thus, (x + 5) is a factor of given function f(x).

Learn more about the remainder theorem here:

https://brainly.com/question/1550437

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Related Questions

pleas yall help ill give you brainiest if you help

Answers

Answer:

C) $3557.75

Step-by-step explanation:

First...

Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).

(53500*13.3*0.5)/100

Next...

Mutiply

355775/100

Finally...

Divide

355775/100 = 3557.75

So the answer is...

$3557.75

Please answer question a & b.

a) Work out the following:

3/4 - 7/9 + 2


b). Which is the largest of the following numbers?

0.1, 0.02, 0.003, 0.0004, 0.00005

Please help due today.

Answers

Answer:

a)

b)0.1

pls refer to the pic

A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen

Answers

$7
six muffins is half of a dozen. And if it costs $3.50 for half a dozen you multiply 3.50 by two
3.50 x 2 = 7

apply the distrubtive property to simply the expression -3(6x+ 2)

Answers

Answer: -18x-6

Step-by-step explanation:

You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).

-3 x 6 = -18

-3 x 2 = -6

(+ -6 can be written as -6)

What’s the ratio 217:279 simplified

Answers

Answer:

666:999

Step-by-step explanation:

olyiuuuyyiuuuuuu

helllllpppppp pleasxee huryyyyy

Answers

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250

Answers

Answer:

125

Step-by-step explanation:

The theoretical probability is 1/8 and (1/8)*1000=125

Answer:

b

Step-by-step explanation:

got it right

CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?

Answers

Answer:

I'm Pretty Sure it is $16.20

Step-by-step explanation:

First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)

Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

Answers

Answer:

5-3+12=7

Step-by-step explanation:

John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.​

Answers

Answer: 800 - 25w = 1400

Step-by-step explanation:

What is there to edplain??

Answer:

800+25w=1400

Step-by-step explanation:

took the test

What 2+2.... I need help lololololol.olo

Answers

Answer:

4

Step-by-step explanation:

2+2 is 4

4 :) you’re welcome

The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.

Which statement describes the limitation for the reasonable domain compared to the mathematical domain?

The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.

Answers

Answer:The reasonable domain contains only positive whole numbers.

Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.

Answer:

B on edge 2021

Step-by-step explanation:

i need help solving for x

Answers

Your welcome.
Ask if you didnt get it.
The person above me is right

find the trig value (with work)

Answers

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5

find the value of x ​

Answers

Answer:

141°

 

Step-by-step explanation:

  The angle given is 39°;

 

Since this problem deals with angles in a transversal, it is easy to solve.

Now;

       Angle given is a corresponding angle to the angle a;

  Corresponding angles are equal; so angle a  = 39°

Also,

   angle a is corresponding to angle b;

         angle b  = 39°

So, angle b and x are on a straight line;

           b  + x  = 180

                  x = 180 - 39  = 141°

 

3/7 times 13 as a mixed number

Answers

Answer:

[tex]5\frac{4}{7}[/tex]

Step-by-step explanation:

Answer is 39/7 or 5 and 4/7

i am confuse on this. I tried to figure it out. but I couldn't please help

Answers

Answer:

A and B?

Step-by-step explanation:

Correct me if im wrong plz

Answer:

A and B

If i am wrong correct me please

This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you​

Answers

Answer:

100÷300 =3 I know only this answer

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag

Answers

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

What number is represented by a point 6 units to the left of 5 on the number ling
shown

Answers

Answer:

-1

Step-by-step explanation:

5-6=-1

Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True

Answers

Answer: Always true

Step-by-step explanation:

Whole numbers including 0 are always integers

A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.

Answers

Answer:

Probability of success = 1/6.

Step-by-step explanation:

A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.

help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *

Answers

Answer:

-2

Step-by-step explanation:

When you fill it in you get 4(2)+3(-3)-1 then multiply and add

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)

Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?

Answers

Answer:

26

Step-by-step explanation:

Let the peter's number be represented    x

Given that

1. if you subtract 19 from my number

writing it mathematically it will be x -19

2. multiply the difference by -3

it can be written as

since difference is x-19

multiplied the difference with -3

-3(x-19)

3. the result is -21

-3(x-19) = -21

dividing both side by -3

-3(x-19)/-3 = -21/-3

x-19 = 7

adding 19 both sides

x-19 + 19  = 7 + 19

x = 26

Thus, peter's number is 26.

Solve The equation mx + 3b = 25 for x *

Answers

x = 25 - 3b.

subtract 3b from both sides of the equation

In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5

Answers

b) line 3 because when they combined like terms, 6x and -2x they added 6 and 2 but should’ve done 6 plus -2

what's
b-a=
c-b=
im confused someone help pleaseee

Answers

Answer: n minus c would equal c c minus b would equal z

Step-by-step explanation:

PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE

Answers

Answer:

18 hours. For 1 hour you packed 10 boxes.

Step-by-step explanation:

The answer it’s 18 hours

finding the slope
(-2,-2) , (11,-10)​

Answers


y = 12/13x - 2/13, characters
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