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

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!

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Answers

Answer:

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Step-by-step explanation:

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Answer:

B. y = -6x+7

Step-by-step explanation:

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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.

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]

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

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Answers

Answer:

22

Step-by-step explanation:

222÷11 =22

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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

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y=-x + 5
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Answers

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

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

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Hope this helps.

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

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Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 3.125 ft

Step-by-step explanation:

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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:

Tell whether the ratios form a proportion.
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yes or no?
(also i give out branist or whatever lol)

Answers

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

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Answers

Answer:

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

Step-by-step explanation:

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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..

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

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

Answers

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Answers

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Answer:

A

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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

I would appreciate the help.

Answers

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I will give brainliest

Answers

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Answers

Answer:

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Step-by-step explanation:

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Given:

Speed= 510 mph

Time= 50  min = 50/60 hour.

So, speed= Distance / Time

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Learn more about speed distance formula here:

https://brainly.com/question/26209051

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explana|tion:

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Step-by-step explanation:

. 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
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Answers

Answer:

slope =

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Can someone please help I'm stupid
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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
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