Find the value of x in each case

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Next, we shall obtained the value of x from x + 2. This can be obtained as follow:

x + 2 = 0

Collect like terms

x = 0 – 2

Finally, we shall determine the the value of k. This can be obtained as  illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

f(–2) = 0 since x + 2 is a factor

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

Therefore, the value of k is –10

Learn more: https://brainly.com/question/13587979

Step-by-step explanation:

E = mc^2

E is Energy

M is Mass

C is Speed of light

This is Albert Einstein's General theory of relativity.

According to The principle of homogeneity,

E = mc^2 is dimensionally correct.

Answer:

10. D. 1 / 216

11. B. - ( 8^0 )

Step-by-step explanation:

10.

6^5 x 6^-8

= 6^( 5 - 8 )

= 6^-3

= 1 / 6^3

= 1 / 216

11.

- ( 8^0 )

= - 1

- 1 < 0

Answer:

-x^2-10x-26

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

        = -(x+5)^2 -1

        = -(x^2 +10x+25) -1

         = -x^2 -10x-25 -1

         =-x^2-10x-26

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

Answer:

120 kg in morning and 240 kg in afternoon

Step-by-step explanation:

x+2x=360 kg

Work:

x + 2x = 360 kg

3x = 360 kg

3x/3 = 360 kg/3

x = 120

2x=2(120 kg) =240 kg

Final Answer:

So, 120 kg in morning and 240 kg in the afternoon.

Hope this helps!

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Answer:

h = 7 inches

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

[(1+5)⋅2−5]⋅2

[(6)⋅2−5]⋅2

[12−5]⋅2

[7]⋅2

14

Step-by-step explanation:

[6.2-5].2

[12-5].2

7.2

14 answer

Answer:

a) yes

b) y = -x

c) yes it goes thru the origin (0,0)

Step-by-step explanation:

a) x**2 + y**2 = 17

(-4)**2 + (-1)**2 = 17

16 + 1 = 17 YES

b) the slope of DE is

(y1 - y2)/(x1 - x2)

(-1 -4)/(-4 -1) = -5/-5 = 1,  so a perpendicular segment will have a

slope of - 1/current slope or -1.

The midpoint of DE is

x = (x1 + x2)/2 = (-4 +1)/2 = -3/2

y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so

y = mx + b

y = -x + b plug in the point (-3/2,3/2)

3/2 = -(-3/2) + b

b = 0 SO y = -x

c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).

Answer:

Step-by-step explanation:

{ 2/3 x+y=6

+

{ -2/3x-y=2

= 0=6

Hence,no solution.

Answer:

See explanation

Question has been corrected

Step-by-step explanation:

Given:

3x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 3 * 30

= 90

Find two numbers that have a product of 90 and a sum of 11

** There are no such two numbers, therefore the question can't be solved using factorization

Correcting the error in the question:

x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 1 * 30

= 30

Find two numbers that have a product of 30 and a sum of 11

6 and 5

6 + 5 = 11

6 * 5 = 30

x² + 11x + 30

= x² + 6x + 5x + 30

= x(x + 6) + 5(x + 6)

= (x + 6) (x + 5)

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

Answer:

its easy dont worry

Step-by-step explanation:

Answer:

A. x = 11√3

B. y = 11

Step-by-step explanation:

A. Determination of the value of x.

Angle θ = 60°

Hypothenus = 22

Opposite = x =?

We can obtain the value of x by using sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = x / 22

√3/2 = x / 22

Cross multiply

2 * x = 22√3

Divide both side by 2

x = (22√3) / 2

x = 11√3

B. Determination of the value of y.

Angle θ = 60°

Hypothenus = 22

Adjacent = y =?

We can obtain the value of y by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 60 = y / 22

½ = y / 22

Cross multiply

y = ½ × 22

y = 11

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Answer:

-15abc - 12ac + 15bc

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)

Step 2: Simplify

Answer:

379

Step-by-step explanation:

4(-9)²+73-18

4(81)+55

324+55

379

Answer:

7!

Hope it is helpful

Answer:

Give some examples of source documents.

➢  Define an account. What are the two  forms of account posting illustrated in the chapter?➢  What is meant by the term double-entry procedure, or duality?

➢  Describe how you would determine the balance of a T-account.

➢  Define debit and credit.

➢  Do you think this double entry accounting system makes sense? Can you conceive of other possible methods for recording changes in accounts?

➢  Which of the steps in the accounting cycle are performed throughout the accounting period?

➢  What is the purpose of the Dividends account and how is it increased?

Answer:

1/12

Step-by-step explanation:

Mathematically, when a coin is flipped, we either get a head or a tail

These are equal probabilities of 1/2 each

So to show heads, we have a probability of 1/2

In a standard cube, there are 6 numbers (1-6)

now, we have only 1 one

the probability of it showing up would be 1/6

So the probability of both occurring would be the product

So we have this as;

1/6 * 1/2 = 1/12

Answer:

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units

Step-by-step explanation:

The given parameters are;

The radius of the circle with center G, r = 15

The measure of the given angle, m∠AGB = 64°

The area of a sector is given as follows;

Area of a sector of a circle = (θ/360°) × π × r²

Therefore;

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;

The area of the sector in circle G  = (64°/360°) × π × 15² ≈ 125.66 square units

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.

Answer:

AD=27

Step-by-step explanation: