Find k so that 4x + 3 is a factor of 20x³ + 23 x² - 10x + k.

Answers

Answer 1

Answer:

k= 28.875

Step-by-step explanation:

4x+3= 0

4x= -3

X = -3/4

f(X)= 20x³+23x²-10x+k

0= 20(-3/4)³ + 23 (-3/4)² -10(-3/4)+k

20(-27/64)+23(9/16) +30/4+k

-540/64+207/16+7.5+k

-8.4375+12.9375+7.5+k. 0=-28.875+k

k=28.875


Related Questions

in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?

Answers

Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

12. What type of triangle is shown? ​

Answers

Answer:

Scalene triangle, right triangle.

Step-by-step explanation:

To find out what type of triangle this is, we have to find x, so we set up an equation:

The sum of interior angles in a triangle add up to 180°

(2x + 15°) + (4x - 10°) + (x) = 180°

Open paranthesis:

2x + 15° + 4x - 10° + x = 180°

Combine like terms:

7x +  5° = 180°

Same to both sides

7x = 175°

x = 25°

We plug in x for each of the values:

2(25°) + 15° = 65°

4(25°) - 10° = 90°

25° = 25°

Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle

I hope this helped, let me know if you have any questions.

John is measuring a piece of glass to fit in a triangular frame. he can only remember two sides of the brain, which are 6 cm and 11cm. Between what two numbers must the third side of the frame fall?​

Answers

Answer:

yup right :)

Step-by-step explanation:

Answer: Your Correct

Step-by-step explanation:

does anyone know how to do this ?

Answers

9514 1404 393

Answer:

  y = 21

Step-by-step explanation:

In straightforward fashion, we can find the midpoints of the two segments, and set the distance between them equal to 10.

  M = midpoint of AB

  M = (A+B)/2 = ((-1, 0) +(-3, 6))/2 = (-4, 6)/2 = (-2, 3)

  N = midpoint of CD

  N = (C+D)/2 = ((3, 1) +(5, y))/2 = (8, 1+y)/2 = (4, (1+y)/2)

Then the distance MN is given by the distance formula.

  |N-M| = 10 = √((4 -(-2))² +((1+y)/2 -3)²) . . . . . distance formula*

  100 = 36 +((1+y)/2 -3)² . . . . . square both sides

  64 = ((1 +y)/2 -3)² . . . . . . . . . subtract 36

  8 = (1 +y)/2 -3 . . . . . . . . . . . . (positive) square root

  11 = 1+y/2 . . . . . . . . add 3

  22 = 1+y . . . . . . . . . multiply by 2

  21 = y . . . . . . . . . . . subtract 1

_____

* The distance formula is an application of the Pythagorean theorem. Basically, the differences of x- and y-coordinates are taken to be the legs of a right triangle. They length of the hypotenuse is the distance between the two points.

  d² = (x2 -x1)² +(y2 -y1)² . . . . . . . from the Pythagorean theorem

  d = √((x2 -x1)² +(y2 -y1)²) . . . . . the usual distance formula

Gordon types 2,964 words in 39 minutes. Find the unit rate.​

Answers

Answer:

76 words per minute

Step-by-step explanation:

2964/39=76 words per minute

URGENT!!! PLS GIVING BRAINLIEST!

A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 3 pounds of chocolate chps, the total cost is $16. For 6 pounds of walnuts
and 5 pounds of chocolate chips, the total cost is $34. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answers

Answer:

1 lb of chips cost $3.50

1 lb of walnuts cost $2.75

Step-by-step explanation:

c = $ chips

w = $ walnuts

System of Equations:

2w + 3c = 16

6w + 5c = 34

I multiplied the first equation by -3 to eliminate the 'w' terms to get

c = 3.5

I substituted 3.5 for 'c' to get 2.75 for 'w'

Hurry, it’s a test!!! Plz!
Raj estimated the sum of 214.73 and 9.6 by rounding each number to the nearest whole.
What was Raj's estimate and what is the actual sum of the numbers?
Enter your answers in the boxes.
Raj estimated the sum to be [ ]
The actual sum is [ ]

Answers

Answer:

estimate 215 answer 10

Step-by-step explanation:

a man sold two jeans at Rs 800. On one he gains a profit of 10 percent on other he loses 15 percent how he gain or loses in whole transaction

Answers

Answer:

1st jean:

100%-> 800

110%->880

880-800=80 ( earned)

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

2nd jean:

100%->800

85%->680

800-680=120(lost)

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

120-80=40 (lost)

Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.

Answers

I don’t know what your question wants us to set it equal to, so I’ll use 0.

For a year, a chef from a restaurant collected data about the cost of strawberries and cherries in his local food market. this data is summarized in the table below. based on the data collected, select all of the statements that are correct.

Answers

Answer:

A Strawberries generally cost less.

D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.

Step-by-step explanation:

A and D

For the given expression, use the Commutative Property of Addition to enter an equivalent expression.

x + 19 =

Answers

Answer:

x+19=19+x

Step-by-step explanation:

The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days

Answers

Answer:

74 days

Step-by-step explanation:

The computation is shown below;

The proportion that remains left after d days is

p = (1/2)^(d ÷ 100)

In the case when the proportion is 60%

So,  

0.60 = 0.50^(d ÷ 100)

Now

log(.60) = (d ÷ 100)log(.50)

100·log(.60) ÷ log(.50) = d = 74 days

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

61.92°

Step-by-step explanation:

Sine Inverse of (75/85)

=61.92°

Please help me with this!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

c is correct

hope it helped

At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 6 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer:

50? maybe

Step-by-step explanation:

since half of the percentage was made it would also fall in for the other 88%.

im not 100% sure tho

The total number of pizzas is given as 50.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The percent value of pizzas having extra cheese is given as 12%.

Suppose the pizzas made last week be x.

Then, as per the question the following equation can be written as,

⇒ 12% × x = 6

⇒ 12/100x = 6

⇒ x = 50

Hence, the number of pizzas that were made last week is given as 50.

To know more about percentage click on,

brainly.com/question/29306119

#SPJ2

Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x -6
3(x-4)
3(x + 2) - 6
6(x - 1)
Reset
Next

Answers

3x + 2(x-1) - 4 = 3x + 2x - 2 - 4 = 5x - 6

i the answers are the first and second boxes

If corresponding angles are on parallel lines, then their measure is the same _____.

always
never
sometimes

Answers

Step-by-step explanation:

always .

plz mark my answer as brainlist.hope this will be helpful to you

Answer: Always

Step-by-step-sumsum:

A yellow ball, a red ball, a white ball and a
black ball are placed in a barrel. Two balls
are drawn out of the barrel at random. What is the probability
that the yellow ball is drawn first?

Answers

Answer:

1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)

Step-by-step explanation:

There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.

6.6=w-1.2 What is w??

Answers

Answer: 7.8

Step-by-step explanation:

1.2+6.6=7.8 so,

7.8-1.2=6.6

what is the value of the expression -3y/x
when x = 12 and y=-8

Answers

Step-by-step explanation:

here is your answerr.

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

Cyril, the priest, created the English alphabet.

True
False

Answers

The answer is false

Answer:

its false

Step-by-step explanation:

.................,,,,,,,,,,,................

6.) Resuelve: 6(X + 8) - 30 + 7 = 49​

Answers

Answer:

x=4

Step-by-step explanation:

6(x+8)-30+7=49

6x+48-30+7=49

6x=49-48+30-7

6x=1+23

6x=24

x=[tex]\frac{24}{6}[/tex]

x=4

Step-by-step explanation:

Para resolver esto yo use una app llamada m a t h w a y

(sin los espacios) esta puede estar en varios idiomas, aunque esto se modifica segun el idioma en donde la uses.

6(x+8) -30+7 = 49                           1. Simplifica 6(x+8) -30+7

6x+25 = 49                                     2. Mueve todos los términos que no

                                                   contengan x al lado derecho de la ecuación

6x = 24                                           (25 pasa restando por lo cual sería, 49-25

                                                       que es igual a 24.)

                                                       3. Divide cada término por 6 y simplifica.

x = 4

Espero esto haya ayudado!

                                                     

LC
instrucciones: Resuelve lo que se te pide.
Ana preparo unos dulces
chiclosos. A los rojos les puso 3
cucharadas de azúcar por
cada lltro de agua, y en los
verdes 5 de azúcar por cada
dos litros, ¿que dulces estan
mas concentrados?

Answers

Answer:

los verdesestan mas concentrados

espero te ayude

Kate deposited $1350 into a bank account that earns 3% simple interest per year. What is the total amount in the account after 2 years?

Answers

Answer:810$

Step-by-step explanation:

?/1350=3/100

1350*3=4050

4050/100=405

405 per year times 2= 810$

Jocelyn Smith has been injured by a local driver who was not paying attention to the road while he was texting on his cellphone. Jocelyn Smith decides to sue the driver. She believes that her own pain and suffering and other damages are worth more than $100,000. In which Florida court should she file her legal action against the driver?

Answers

Answer: florida circuit court

Step-by-step explanation:

Based on the information given, the Florida court that she should file her legal action against the driver is the Florida circuit court.

The Florida Circuit Court is a state court where cases such as civil cases, felony, juvenile cases, family law and probate issues are heard. Therefore, based on the scenario given, the Florida circuit court will be applicable here.

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

[tex] = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} [/tex]

Can I have the brainliest please?

Answer:

9 X 4 = 36

Step-by-step explanation:

not really the answer sorry pls dont be mad

15 points, 8-9 grade work

Polynomials

P(x) = 2x^4 + 3x^2 - 5x + 7

q(x) = -2x^2 + 4x - 3

calculation:

A. p(x) + q (x)

B. 2 • p (x)

C. p (x) - q (x)

D. 3 • p (x) + 4 • q (x)

E. p (x) • q (x)

F. (P (x) ) ^2

Answers

Answer:

A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x+x²-x+4

B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x+6x²-10x+14

C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x+5x²-9x-2

D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴++x+9

E. p (x) • q (x)=sorry it is quite long.

F. (P (x) ) ^2this too.

2X+1 -2X-8. Solve it ​

Answers

The answer is -7

2x - 2x + 1 - 8
the answer would be -7

HELP HELP HELP PLSSS

Answers

Answer:

option. c. 720°

.....................

Answer:

720degrees

Step-by-step explanation:

can someone properly explain the multiplier method I need help for revision

Answers

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

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