What is the remainder of 2x3 − 7x2 + 5x − 1 divided by (x − 3)?

−211
5
−133
2

Answers

Answer 1

By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),

p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5


Related Questions

In the inequality -2|2x-3|>-12, what is the range for x?

Answers

9514 1404 393

Answer:

  -3/2 < x < 9/2

Step-by-step explanation:

You can divide the inequality by -2, then rewrite as a compound inequality:

  |2x -3| < 6

  -6 < 2x -3 < 6

Add 3 and divide by 2:

  -3 < 2x < 9

  -3/2 < x < 9/2

9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E

Answers

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

23.85 + 7.42 + 16.15

Answers

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains

Answers

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

To learn more about the proportions visit:

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HELP PLEASE.........​

Answers

Answer:

Step-by-step explanation:

Before I can answer this, please furthermore evaluate on what the acronyms MAD and IQR stand for, and I will update my answer. Thank you!

This is two or more equations with common variables, also known as a linear system.

Answers

I can’t answer without the equations try retaking the pic maybe

Can somebody pls answer these three questions ASAPPPP!!!!

Answers

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

Choose a true statement.
g(x) is not a function because f(x) is not a
function.
O g(x) is not a function because f(x) is not one-
to-one.
O g(x) is a function because f(x) is one-to-one.
O g(x) is a function because f(x) is not one-to-
one.

Answers

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

learn more about inverse functions here :

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i already know the answer can someone explain or show me how to do it on a numberline

Answers

Answer:

I'm not sure what the question is but an example question could be

"Take 5 away from 3."

For this you would go to three on the number line and then move left five gaps. You would land on -2

another example: "Add 4 to -3."

For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.

Answer:

4.5

Step-by-step explanation:

just move 1 1/2 steps to the left

THIS IS URGENTTDetermine whether each table represents a function. Select Function or Not a Function for each table.

Answers

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

Select the correct answer. The steps for solving the given equation are shown below. 8-3x=20 Select the correct equation for the missing step in the table.

Answers

Answer:

C

Step-by-step explanation:

Multiplying by the reciprocal is the same as division.

Answer:

its actually (b) addition property of equality

Step-by-step explanation:

i got the answer correct on edmentum

Two cars are traveling in the same direction. The first car is going 40mph, and the second car is going 55 mph. The first car left 3 hours before the second car. Which equation could you use to find how many hours it will take for the second car to catch up to the first car? hint: how many miles has the first car gone in those 3 hours?

Answers

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

5X+17=7 PLEASE HELP FAST

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

Learn more about the mathematical expression visit:

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Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)

1. 0.333
2.0.454545
3.0.353535
4.242424
5.0.393939

Answers

Answer:

1) 1/3

2) 45/99

3) 35/99

4) 24/99

5) 39/99

Explanation:

1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3

2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99

3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99

4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99

5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99

What is the apparent range of the function of x shown?

A) The set of all real numbers greater than or equal to 1
B) The set of all real numbers less than or equal to 1
C) The set of all real numbers greater than or equal to 4
D) The set of all real numbers

(PLEASE LOOK AT THE PICTURE BEFORE ANSWERING)

Answers

It would be the second one b)

Line a is parallel to line t solve for x

Answers

Answer:

Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.

Step-by-step explanation:

I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.

Answers

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

Simplify -51/4-(-71/2). Which of the following is correct

Answers

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

help I have no clue what this is

Answers

Answer:1/20

Step-by-step explanation:mark me as brainliest

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Answers

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

I will give the BRAINIEST!!! Please help!!

The sidewalks on both sides of Peach St. are parallel. One sidewalk can be modeled by the equation 2x-y=-1. Which equation could model the other sidewalk?

a. 2x+y=8
b.y-1=2(x-3)
c. y-1=-2(x-3)
d.y=-1/2x+3​

Answers

Answer: B. y-1=2(x-3)

Step-by-step explanation:

First subtract both sides by 2x so it becomes -y=-2x-1

Second divide both sides by -1 so it becomes y=2x+1

After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x

Order the following from least to greatest.
0.67,6.7%, 6/7

Answers

Answer:

from least to greatest.= 6.7%, 0.67, 6/7

Answer: 6.7%, 0.67, 6/7

Step-by-step explanation:

6.7% is less than 0.67.

0.67 is less than 6/7.

So, the order is 6.7%, 0.67, and 6/7.

3. Kasey Marsenburg is a financial consultant for ABC Finance.
She eams $748.00 weekly. Her annual group medical coverage
costs $9.560, of which ABC Finance pays 65%. How much is
deducted weekly from her paycheck for medical coverage?

Answers

Answer:

Step-by-step explanation:

100-65=35%

What do numbers have a difference of 8

Answers

Answer:

20-12=8

here it is the difference is 8.

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89z. Assume that the conditions for inference were met.

Answers

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn

write 1/64^2 using a negative exponent

Answers

▪ Answer:

2^(-12)

▪ Step-by-step explanation:

Hi there!

1/64^2 =

= 1/(2^6)^2

= 1/2^12

= 2^(-12)

Good luck !

use

(a^b)^c = a^(b×c)

1/a^b = a^(-b)

Cuál es el 30% de 100.000?
Porfaaaaaa ayudenmeeeeeee

Answers

Answer:

30

Step-by-step explanation:

state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B

I would really appreciate it if you could help me out!

Answers

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range


Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10

Answers

Answer:

Add 10 to three times  the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

Which equation is equivalent to the given equation?
–8(x + 13) = 2(x - 7) + 4x

Answers

Answer: Is C

-8x-104=6x-14

Step-by-step explanation: I got the question right

Answer: -8x - 104= 6x - 14

Step-by-step explanation:

-8(x+13) =2(x-7) + 4x

-8x - 104 = 2X - 14 + 4x

-8x - 104 = 6x - 14

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