Mathematics High School

If (x+k) 2 (x+2) = x² +14x²+60x+72
Find the value of k.

I will give brainliest

Answers

Answer 1

George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0

Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0

By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0

Related Questions

. Mr. Sanders sells boats and works on commission only, with no base salary. He earned
$4,500 on the sale of a $27,000 boat.
This commission income for a sale is based on a constant rate of change for his pay at
the company.
If the relationship between his sales in dollars and his commission in dollars is
graphed, it would form a straight line. What would be the slope of this line?

Answers

Answer:

slope =

; Mr. Sanders earns $1 commission for each $6 dollars in sales

Step-by-step explanation:

no steps needed

I will give brainliest

Answers

Answer:

36

Step-by-step explanation:

16*(9/4)

B is smaller than A in a ratio of 4/9, means that A is larger than B in ratio of 1/(4/9) = 9/4.

If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes?

Answers

Answer:

425 miles

Step-by-step explanation:

Divide 510 by 60 to get miles per minute and then multiply by 50 to get miles in 50 minutes

The airplane move 425 miles in 50 minutes.

what is Speed- Distance Formula?Speed = Distance/TimDistance = Speed X Time, and Time = Distance / Speed

Given:

Speed= 510 mph

Time= 50  min = 50/60 hour.

So, speed= Distance / Time

510 = Distance / (5/6)

510 x 5/6 = Distance

Distance = 425 miles

Hence, the Airplane travel 425 miles.

Learn more about speed distance formula here:

https://brainly.com/question/26209051

#SPJ2

If the company decides to produce 10,000 containers of new extra crunchy peanut butter how many containers of regular crunchy would it produce

Answers

Answer:

Step-by-step explanation:

−
2
x
4
+
20
x
3
+
48
x
2
−2x
4
+20x
3
+48x
2

Answers

Answer: =296

Step-by-step explanation: −2*4=-8+20=28*3=84+48=132*2=164−2=162*4+20*3+48*2= 296

Wow...I forgot how to do this please help

Answers

Answer:

B. y = -6x+7

Step-by-step explanation:

change in x is positive 6 change in y is negative 1

6/-1 is the slope

-6 is the slope

The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14). Write an equation that represents this new path l. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.​

Answers

Answer:

y=1/4x+13

Step-by-step explanation:

What is the best estimate of the perimeter of the figure below if each square has a side length of 1 foot?

On a coordinate plane, a figure is 30 units around.
26 feet
28 feet
30 feet
39 feet

Answers

30 or 28 feet): hthsnks for the pints

Answer:

A

Step-by-step explanation:

perimeter- 26

What is the correct answer for all of them? ​

Answers

Answer:

i wish i could tell ya bud but i cant see the image

Step-by-step explanation:

its blocked off for me

In a survey of 2,800 people who owned a certain type of car, 840 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?​

Answers

Answer:

30% of people surveyed were satisfied with the car.

Step-by-step explanation:

We are given:

Total participants in survey= 2800

People satisfied with car = 840

We need to find percent of the people surveyed were satisfied with the car.

The formula used is: [tex]\frac{People \ satisfied \ with \ car}{Total \ participants \ in \ survey} \times 100[/tex]

[tex]=\frac{840}{2800}\times 100\\=30\%[/tex]

So, 30% of people surveyed were satisfied with the car.

Tell whether the ratios form a proportion.
3/4, 24/18
yes or no?
(also i give out branist or whatever lol)

Answers

No it does not form a proportion.
Proportion = equal
3 * 8 = 24
4 * 8 = 32 not 18
No it don’t form a proportion

Unit 3 Homework 6 Geometry
I need help for 21 &22

Answers

Answer:

22

Step-by-step explanation:

222÷11 =22

22 ÷111 =000⁰00

y = x + 1
y=-x + 5
is there an ordered pair that is a Solution to both of these linear equation?
Explain your thinking ​

Answers

[tex]y=x+1[/tex]

[tex]y=-x+5[/tex]

[tex]x+1=-x+5[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

[tex]y=x+1[/tex]

[tex]y=2+1=3[/tex]

The ordered pair is [tex](2,3)[/tex].

Hope this helps.

Which two points are on the graph of W(d) = 5d – 30?
Choose exactly 2 awnsers that are correct
0, 30
0, -30
-6, 0
6, 0

Answers

Im pretty sure its

(6, 0)

(0, –30)

I could be wrong though..

2. Suppose there are 50 cats in a neighborhood. The ratio of cats to dogs is 2/1 . many dogs are in the neighborhood? (4 points)

Answers

Answer: 25 Dogs

Reason: If the ratio of cats to dogs is 2/1, there are 2 cats for every 1 dog. That would mean that the number of cats is double the number of dogs. 25 x 2 = 50

1. Which expression has a value of 30 when x = -1 and y = 3? A. (x - 3^2) · y - 6 B. (x - 3^2) · (y - 6) C. x - 3^2 · (y - 6) D. x - 3^2 · y - 6

Answers

Answer:

B. (x - 3²)(y-6)

Step-by-step explanation:

 Find the expression with a value of 30;

  when x  = -1 and y = 3:

    A.  (x - 3²).y-6

            (-1 - 9).3-6 = -10 x 3 -6  = -30 - 6 = -36

  B.  (x - 3²)(y-6)

           ( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30

 C.  x - 3² . (y-6) = -1 - 9.(3-6)

                          = -1-9.-3

                          = -1 - 9 x -3

                          = -1 + 27

                          = 26

D. x - 3².y-6 = -1 - 9. 3 - 6

                    = -1 - 27 - 6

                    = -34

The figures are similar. Find the missing length. Round to the nearest thousandth. (Hint: this is actually a reduction, the shape is misleading).

Answers

Answer:

x = 3.125 ft

Step-by-step explanation:

[tex]\frac{5}{x}=\frac{8}{5} \\8x = 25\\x = \frac{25}{8}=3.125[/tex]

Justin uses į of a gallon of paint to cover of his bedroom wall.
How much paint is needed to cover the entire wall?

Answers

it depends what is the size of the wall and how much can be covered with 1 gallon .

Write a diameter of 7.024 x 10-5 centimeter in standard notation.​

Answers

Answer:

[tex]0.00007024[/tex] cm

Step-by-step explanation:

Standard notation just mean to expand the number.

Because the exponent is -5, move the decimal 5 places to the left.

[tex]7.024*10^{-5}[/tex]

[tex]0.00007024[/tex]

Hope this helped!

solve for x -5(-x+1)-3x-1=-12

Answers

Answer:

x = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

x - 5(-x + 1) - 3x - 1 = -12

Step 2: Solve for x

Distribute -5:                                   x + 5x - 5 - 3x - 1 = -12Combine like terms:                       3x - 6 = -12Add 6 to both sides:                       3x = -6Divide 3 on both sides:                  x = -2

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply:                             -2 - 5(2 + 1) + 6 - 1 = -12Add:                                   -2 - 5(3) + 6 - 1 = -12Multiply:                             -2 - 15 + 6 - 1 = -12Subtract:                            -17 + 6 - 1 = -12Add:                                   -11 - 1 = -12Subtract:                            -12 = -12
i got -3 i don’t know if it’s right by looking at the other answers

5x-y=1/4 yea i need help lol

Answers

Answer:

x = (y+1/4)/5

Step-by-step explanation:

graph{y=5x-1/4 [-10, 10, -5, 5]}

The area of a circle is equal to ___ times the ____ of its _____

Answers

Answer:

The area of a circle is equal to pi times the square of its Radius

Step-by-step explanation:

Answer:

Pie, Diameter, Circle

Step-by-step explanation:

Can someone please help I'm stupid
1.25x - 6.50 > 60

Answers

Answer:

x>53.2

Step-by-step explanation:

1.25x-6.50>60

1.25x>60+6.50

1.25x>66.50

1.25x/1.25>66.50/1.25

X>53.2

Answer: X>53.2

charlie reads 1 3/7 pages every minute 2/3 charlie reads at a constant rate
How many pages does he read per minute?

Answers

Answer:

5 pages\

Step-by-step explanation:

Answer: He reads 2 1/7 pages per minute.

Step-by-step explanation:

If you divide 1 3/7 by 2/3, you’ll get your answer.

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

16=x

Step-by-step explanation:

the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x

What is the multiplicative inverse of 1/2?

2
-1/2
-2

Answers

Answer:

-2/1

Step-by-step explanation:

Answer:

The multiplicative inverse is 2

Step-by-step explanation:

In mathematics, we call the number 1 the multiplicative identity because if we multiple any number by 1, we get that same number as our answer. A multiplicative inverse of a number, x, is a number y, such that if we multiply x times y, then we get the multiplicative identity. That is, x × y = 1.

Kayleigh has 3 1/2 gallons of water. She wants to fill up 1/3 cups. How many cups can she fill and how much is left over?

Answers

Answer:

10.5

Step-by-step explanation:

the answer to your question is 10.5!

A triangle with the side lengths of 8, 15, 17.5 form a right triangle:

A. True
B. False
C. Sometimes
D. None of the above​

I would appreciate the help.

Answers

It's true, just draw the sides and you'll see there's no other angle you could get.

what is p^m ÷ by p^n equal to?

Answers

Answer:

hbbbbb

Step-by-step explanation:cvv cv

4 + y =36+65x85 help what y

Answers

Answer:

8411?

Step-by-step explanation:

I am not entirely sure because you put an x without any spaces soo I don't know if that supposed to be a variable or multiplication sign. If its a multiplication sign then its 8411 because 36+65=99. 99 x 85=8415. 8415 - 4 = 8411.

Answer:

|2y|=3+2

3ˣ⁺⁴=4

4cos²([tex]x[/tex])-1=0

Step-by-step explana|tion:

Other Questions
what is the 94% of 104 What is the energy of a microwave photon that has a frequency of 9.86 x 1012 Hz? at the convection of 1818 president james monroe agreed to give up some us territory in exhange for some british tertooty which region on the map was the focus of this agreement giving brainliest 3.6 code practice (edhesive) People who complained about the incoming immigrants and their influence on society were called? newtons second law of physics, solve the chart The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.(A) 1.8(B) 2(C) 8/9 The image below shows Earths major plates. A geologist is studying a plate boundary indicated by the arrow.Fill in the blank to complete the statement about the plate boundary.This boundary is between the African Plate and the ______ Plate. Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12 The nerve signal will travel. Kilometers in one second If there are 214 student in school and 81 get cookies 74 get ice cream how many get cake? What function are stomach cells adapted for All of the following would be evidence that you do not have a normal distribution except:A. the presence of multiple modesB. the fact that 75% of the observations have a value below the meanC. a normal quantile plot suggests an obviously curved lineD. the likelihood for all values of x is the sameE. none of the above.will mark brainliest :) You stand 25 m from the base of a treeand the angle of elevation from theground to the top of the tree is 48degrees. How tall is the tree? value expressions-10-(-4)= How much does a customer pay for an article marked at $50 if a sales tax of 6% is charged? Question is in the picture What similarities do Ballet and Football share? A rectangular parking lot is 115 meters long and 36 meters wide. What is its perimeter? a line has a slope of negative 1 over 2 and a y-intercept of -2 what is the x intercept of the line