1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}​

Answers

Answer 1

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

      = 4(8) - 5(4) + 4 - 14

      = 32 - 20 - 10

      =  12 - 10

      = 2


Related Questions

Solve -7u = -21 for u. u =

Answers

Answer: u = 3

Step-by-step explanation:

Divide each side by -7 to get u = 3.

Answer:

3

Step-by-step explanation:

-7u = -21

To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.

-7u

[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]

u= -21/-7

u = 3

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet

Answers

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10

A university record search of 250 incoming freshmen
at a state university shows that 26 had received college
credit for science courses but not math courses,
and 12 had received college credit for math but not
science. There were 202 that had not received college
credit for either.
a. How many of the students had received college credit for math?
b. How many had received credit for science courses?

Answers

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please

Answers

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

find any 4 rational number between -1/2 and -1/3

Answers

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

What is the median of this set of data?

362, 187, 211, 298, 331, 250, 347, 199

Answers

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Which Equation has a slope of 1/4 and a y intercept of 3

Answers

Answer:

option 4 see desmos graph will help you

Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make

Answers

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

?‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

Which expression can be used to find 80% of 120?


80% of 120
20%
20%
20%
20%
20%

Answers

Answer:

96

Step-by-step explanation:

80*120=9600 divided by 100

What is the solution set of the equation x2 + 2x – 15 = 0?

Answers

Answer:

( x − 3 ) ( x + 5 )

Step-by-step explanation:

HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

; factor the left side of the equation

; (x−3) (x+5) = 0

set factors equal to 0

x − 3 = 0

or

x + 5 = 0

; so, x = 3  or  x = −5

- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?

Answers

Okay so basically you need to see what half of the amount he started with was to do that you need to add both of the numbers ^^^ = 206.64. Which is half of the starting number so you times by two. =$413.28

3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next

Answers

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

investors buy a studio apartment for $240,000 . Of this​ amount, they have a down payment of 60,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$108,000 down payment​ be?

Answers

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

can someone help me with part A please??

Answers

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

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

which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4

Please include steps!​

Answers

Answer:

c

Step-by-step explanation:

find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour​

Answers

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

Sum1 plz help with this

Answers

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

Explain fully, please

Answers

Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

Answers

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Solve for x

1) 3x - 2 = 10

Answers

Answer: x equals 4 your welcome

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

8.
How is the graph of y=5x^2-4 different from the graph of y=5x^2?

A. It is shifted 4 units to the left.

B. It is shifted 4 units to the right.

C. It is shifted 4 units down.

D. It is shifted 4 units up.

Answers

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

On a number line, graph all the temperature that are warmer than -2 degrees Celsius

Answers

The inequality would be x>2

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ2

Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)

Answers

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

Can someone please help ?! Thanks !

Answers

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)

Answers

The probability of rolling an even number, odd number and a number bigger than three is ½ or 50%.

Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

Answers

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

HELP ME WITH THIS PLEASEEEE

Answers

Answer :
B, 45

Explanation:

45:100 = 0.45
0.45= 45%

Hope this helped
Answer: 45 (second A)
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