Mathematics High School

if 2x+1 is a factor of 2x³ +x²-kx-1, find the value of k​

Answers

Answer 1

Answer:

k=2

Step-by-step explanation:

Find the zeros of the factor

2x+1=0

x=-½

Plug x=-½ into the function and equate to 0

2(-½)³+(-½)²-k(-½)-1=0

2(-1/8)+¼+½k-1=0

-¼-1+¼+½k=0

-1+½k=0

½k=1

k=2

Answer 2

Step-by-step explanation:

2x+1=0

x=-1/2

Now p(x)= 2x^3 + x^2 -kx-1

subtitute value of x:

p(-1/2)= 2(-1/2)^3 + (-1/2)^2 -k(-1/2)-1

p(-1/2)=2*-1/8+1/4+k/2-1

p(-1/2)=-1/4+1/4+k/2-1

p(-1/2)=k/2-1

2x+1 is the factor of p(x) so

k/2-1=0

k/2=1

k= 2

Related Questions

PLS HELP THIS IS WITH THE HELP OF SQAURES

Answers

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

What is the value of p in the followingWhat is the value of p in the following division problem?
7/8 ÷ p = 1 11/24

Answers

Answer:

p=3/5

Step-by-step explanation:

steps are in the picture.

If you need to ask question about it ,i shall gladly give your answer.

Shevonia wants to decrease her energy bill by 189. If her
electric bill is currently $348 a month, what will her bill be
if she is successful?

Answers

Answer:

$159

Step-by-step explanation:

$348-189

=$159

Anyone know the answers 11 through 14?Please help me.I’m tired

Answers

Answer:

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

Step-by-step explanation:

Gloria earns $875 a month
babysitting. If she worked 4
hours a day for 25 days this
month, how much did she
make each hour?

Answers

219, you divide 875 into 4 sections.

Find the x-intercept and y-intercept of the line.
4x+5y= -20

Answers

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

Jacob has 96 books to stick on library shelves. Each shelf can hold 9 books. How many shelves will he need to stack all the books?

Answers

Answer:

11 shelves

Step-by-step explanation:

Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n: A. 128; B. 87; C. 64; D. 97; E. 70.

Answers

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

There are 50 even numbers - divisible by 2
There are 25 multiples of 4
There are 12 multiples of 8
There are 6 multiples of 16
There are 3 multiples of 32
There is one multiple of 64
Each of these is also counted in the line above

So the unique multiples are (1 x 64) x (2 x 32) x (3 x 16) x (6 x 8) x (13 x 4) x (25 x 2)
= (1 x 2^6) x (2 x 2^5) x (3 x 2^4) x (6 x 2^3) x (13 x 2^2) x (25 x 2^1)
So n = 6 + 10 + 12 + 18 + 26 + 25 = 97

The slow (but easier way) to see this is to write down all the even numbers in factors of 2 and count the number of 2S
Eg 2, 2x2, 2x3, 2x2x2, 2x5, 2x2x3, 2x7, 2x2x2x2, 2x9, 2x2x5, 2x11, 2x2x2x3, 2x13, 2x2x7, 2x15 etc
(This only got to 30 but you should get the idea - there are 26 twos up to there)

This is a tough question to explain simply

whicth inequality is true for X=20

Answers

Answer:

x+30 <3x

x divided by 4 < x - 12

2x < x + 22

Some pls help me with this question

Answers

can this help you to solve it?

Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

Answers

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

What is the Equation of a Vertical Line?

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

Learn more about equation of a vertical line on:

https://brainly.com/question/9050446

#SPJ6

Find the center of a circle with the equation: x2+y2−4x+2y−11=0 x 2 + y 2 − 4 x + 2 y − 11 = 0

Answers

Answer:

( 2, - 1 )

Step-by-step explanation:

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center of a circle with radius r

~~~~~~~~~

x² + y² - 4x + 2y - 11 = 0

( x² - 4x + 4 ) - 4 + ( y² + 2y  + 1 ) - 1 - 11 = 0

( x - 2 )² + ( y + 1 )² = 4²

Coordinates of the center of a circle are ( 2, - 1 )

PLEASE HELP (GEO) Find X
Round to the nearest tenth.
20 ft
\22 ft
Y
X 18 ft
X= [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answers

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

Multiply. Write your answer as a fraction in simplest form. −1(−3 1/2)= need ASAP

Answers

Answer:

3 1/2

Step-by-step explanation:

Examine the graphs. Determine whether each function is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of each function.

Answers

Hey there! I'm happy to help!

Discrete data are data that are usually counted and are represented by points that are not connected by a line.

Continuous data are data that are represented by a straight line.

Our graph has a continuous function because it is made of continuous.

In a function, the domain is all of the x-values and the range is all of the y-values.

With discrete data, the domain and range are usually more finite, and with continuous data, it is usually infinite.

What x-values on this graph include any possible number. If we follow the arrow on the bottom left side of our line, it will go down forever and go in the direction of infinitely many negative x-values. The same goes for the other direction with the other side of our arrow.

So, our domain is going to be -∞ ≤ x ≤ ∞.

If we look at our range, we have the same thing happening. We will have infinite negative y-values and infinitely positive as our arrow goes infinitely in both directions.

So, our range is going to be -∞ ≤ y ≤ ∞.

Have a wonderful day and keep on learning! :D

What do I need to know about 8th grade

Answers

It’s simple but hard, All of the basics are in eight! Concentrate on the topics that you don’t know! I need to say, It’s a full on going adventure! Problems become a little tough! Those decisions you have to make are hard! It feels like a party everyday!

In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of this car travels approximately 150 miles per week. How much money is this person spending on gas per week? Show work

Answers

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

Please help me Find the value of x

Answers

Answer:

sorry man i don't know that if i know that i could really help you......

Step-by-step explanation:

i wish i could help

Which ordered pair is a solution to the equation y = 2x + 1?

A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)

Answers

it’s choice A :)))))

Can someone help I do not understand how to do this

Answers

Answer:

a) C = 1.40 + .4M

b) $4.60

c) 46.5 <= M (miles)

Step-by-step explanation:

a) Cost = initial fee + 0.40 * miles OR

   C = 1.40 + .4M

b) C = 1.40 + .4M

    C = 1.40 + .4 * 8

    C = 1.40 + 3.20 = 4.60

c)  C <= 20 so

    20 <= 1.40 + .4M

    20 - 1.40 <= .4M

   18.60/.4 <= M

    46.5 <= M

please help me please​

Answers

Step-by-step explanation:

b. (3a²-9a)/(a²-9)

3a(a-3)/(a-3)(a+3)

3a/(a+3)

can someone ans it correctly plz​

Answers

Answer:

It's BGH or the 4th option

Step-by-step explanation:

This is because they aren't adjoined

What is an Equation that m=2

Answers

Answer:

5+5m=15

Step-by-step explanation:

y=2x+c

m=slope
Straight line

There are 35 houses in a neighborhood AT&T providers Internet service to 1/5 of the houses spectrum provides Internet service to 2/7 of the houses the remaining houses use hotspot as your Internet provider in this neighborhood how many houses use hotspot is there Internet provider

Answers

Total number of houses use hotspot is 18 houses

Step-by-step explanation:

Given that;

Number of total houses = 35

AT&T providers Internet service = [tex]\frac{1}{5}[/tex] of total house

Spectrum providers Internet service = [tex]\frac{2}{7}[/tex] of total house

Find:

Total number of houses use hotspot

Computation:

Number of houses AT&T providers Internet service = [tex]35 \times \frac{1}{5}[/tex]

Number of houses AT&T providers Internet service = 7

Number of houses Spectrum providers Internet service = [tex]35 \times \frac{2}{7}[/tex]

Number of houses Spectrum providers Internet service = 10

Total number of houses use hotspot = 35 - 7 - 10

Total number of houses use hotspot = 18 houses

Learn more:

https://brainly.com/question/18134643?referrer=searchResults

Segments with the lengths of 6, 8, and 10 units will form what type of triangle?

Select the best answer from the choices provided.
A. right
B.isosceles
C. equilateral
D. They do not form a triangle.

Answers

Answer:

right

Step-by-step explanation:

use pathagorus theorem and we will get right angled triangle

HELP ME PLLEEAASEEE:(((

Answers

Answer:

meets at a 90° in the following question.

3/2b+1/4=5/8
What is it?
Please help

Answers

Answer:

3.2b=5.8-1.4 3/2b=4/4 so b=3.2/4.4

Solve for x and find the value of the unknown angle measures.

Answers

Answer:

x = 20

m = 92

n = 68

p = 92

Step-by-step explanation:

x = 20

2 + 3x = 62

-2           -2

----------------

   3x = 60

  -----   -----

    3       2

    x = 20

m = 92

20 + 68 = 88

180 - 88 = 92

n = 68

The vertical angle is 68 degrees

p = 92

Vertical angle is m, which is 92.

Hope this helped.

nilai x yang memenuhi |3x + 7| > 2 adalah....​

Answers

Answer:

|3x+7|>2 =5/3 x yang memenuhi

which expressions are equivalent to (5g+3h+4) . 2

Answers

Answer:

2(5g+3h+4)

10g+6h+8

Please that is the answer

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