Round 0.090999 to four decimal places.

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

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

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:

The domain of the function is (-2,&)

Answer:

379

Step-by-step explanation:

4(-9)²+73-18

4(81)+55

324+55

379

Answer:

Exact Form:

235235

Decimal Form:

4.64.6

Mixed Number Form:

4 3/5

Answer:

5649

Step-by-step explanation:

4^3=64

64^5=5649

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

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:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question

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:

we can use simple equation

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:

(−4, 10)

Step-by-step explanation:

B = (x, y)

(2 + x) ÷ 2 = -1

therefore x is -4

(6 + y) ÷ 2 = 8

therefore y is 10

Feel free to message me if you still have questions :)

The coordinate point of point B (x₁, y₁) will be (−4, 10). Then the correct option is D.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB.

Then the coordinate of the point B(x₁, y₁) will be

We know that the mid-point formula

[tex]\rm (x,y) \ \ = \left ( \dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} \right )\\\\(-1, 8) = \left ( \dfrac{2+x_1}{2}, \dfrac{6+y_1}{2} \right )[/tex]

Then the value of x₁ and y₁ will be

[tex]\rm x_1 = -4\\\\y_1 = 10[/tex]

Then the coordinate point of B (x₁, y₁) is (−4, 10).

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals  (units)

Area of 1 lateral side of pyramid ABCDE is

so the total lateral area is  (units squared)

and the total surface area is  (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is

so the total area of the second pyramid is

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.

Answer: See explanation

Step-by-step explanation:

The equivalent fraction of 45% is solved as follows:

First, we'll change the percentage to fraction which will be:

45% = 45/100

Then, we'll reduce to lowest term which will be:

45/100 = 9/20

Now, we'll convert the fraction to decimal which will be:

9/20 = 0.45

The mistake that Jenny made was that she divided 90 by 20. This will give 4.5.

Answer: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.y-step explanation:

=========================================================

Explanation:

The uppercase E represents "ten to the"

So saying E8 means "ten to the 8th power"

In other words, 9.837 E 8 = 9.837 * 10^8

The exponent positive 8 tells us to move the decimal point over to the right 8 spots.

So that's how we go from 9.837 * 10^8 to 983,700,000

There are 5 zeros in that value after the "9837" portion.

When we move from 9.837 to 9837.0, that's exactly 3 spots so far. Then the decimal point has to move another 5 spots to go from 9837.0 to 983,700,000 which is therefore 3+5 = 8 total shifts to the right.

The number 983,700,000 is slightly over 983 million. If anything, it's more closer to 984 million.

Answer: Standard Form = 983, 700, 000

Step-by-step explanation:

Concept:

The term "E" is usually used in calculators or on-screen which stands for exponents. It has been used to display numbers in scientific notations.  

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. Usually in the form of [ a × 10ᵇ ] where a is a number 0<a<10 and b are integer exponents.  

"E" in simpler words is basically the base "10" in scientific notation, while the number after "E" would be the exponents on "10"

Solve:

Given = 9.837 E 8

"E" = 10

"8" = ⁸

E 8 = 10⁸

10⁸ basically means that there are 8 zeros after 1.

Therefore, to find the standard form of 9.837E8, we have 3 zeros to get 9.837 to become an integer, then add the remaining 5 zeros at the end to get the final answer.

Hope this helps!! :)

Please let me know if you have any question

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:

x = 29

Step-by-step explanation:

ΔABC ≅ ΔDEC,

So, ∠BAC  ≅∠CDE    {Corresponding parts of congruent triangles}

∠BAC = 74°

InΔABC,

∠ABC + ∠BAC + ∠BCA = 180

2x + 74 + 48 = 180

2x + 122 = 180  

Subtract 122 from both sides

2x = 180 - 122

2x = 58

Divide both sides by 2

x = 58/2

x = 29

Answer:

x= 1.961

Step-by-step explanation:

Marcel's ,P = 2500 , T = 3, R = 1.6%

SI = PRT/100

=(2500×1.6×3)÷100

Jacques's , P = 2000 , T = 3, R = x%

CI = P( 1 + R/100)^T -P

2000(1 + x/100)^3 -2000

But this is equal to 120

(1 + x/100)^3 = 2120/2000

x= 1.961

I hope this helps !!!!!!!!!!!

Answer:

The answer is below

Step-by-step explanation:

If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.

If two angles are supplementary to the same angle, then the two angles are congruent.

Statement                                         Reason

1) line p is parallel to line q               Given

2) angle 1 and angle 4 are               Given

supplementary i.e. ∠1 + ∠4

= 180° (definition of supplementary)

3) angle 3 and angle 4 are              consecutive interior angles

supplementary

4) angle 1 congruent to angle 3       congruent supplements theorem

supplementary

5) line r parallel to line s                  corresponding angle converse

Answer:

[tex]3x^{2} \sqrt10[/tex]

Step-by-step explanation:

f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]

Answer:

Solution given:

f(x)=[tex]\frac{-2x+2}{x+7}[/tex]

Let f(x)=y

y=[tex]\frac{-2x+2}{x+7}[/tex]

Interchanging role of x and y

x=[tex]\frac{-2y+2}{y+7}[/tex]

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y=[tex]\frac{2-7x}{x+2}[/tex]

So,

f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]

Answer:

ƒ^-1 (x) = [tex]\frac{2-7x}{2+x}[/tex]

Step-by-step explanation:

Substitute y for f (x)

[tex]y = \frac{-2x+2}{x+7}[/tex]

Interchange x and y

[tex]x=\frac{-2y+2}{y+7}[/tex]

Swap the sides of the equation

[tex]\frac{-2y+2}{y+7} = x[/tex]

Multiply both sides of the equation by y + 7

-2y + 2 = (y + 7)x

Distribute x through the parentheses

-2y + 2 = xy + 7x

Move the expression/constant to the left-hand side and change its sign

-2y - xy + 7x - 2

Factor out  from the expression

(-2 - x)y = 7x - 2

Divide both sides of the equation by -2 - x

[tex]y = \frac{7x-2}{-2-x}[/tex]

Simplify the expression

[tex]y = \frac{2-7x}{2+x}[/tex]

Substitute ƒ ^-1 (x) for y

[tex]f^{-1} (x) = \frac{2-7x}{2+x}[/tex]

==========================================================

Explanation:

Focus on triangle TUS. The inner angles here are:

Note how the angle measure for S is the supplement of 2x, which is adjacent to the angle S we have.

Add up those three angles and set the sum equal to 180

T+U+S = 180

y+x+180-2x = 180

y-x = 180-180

y-x = 0

y = x

We'll use this later.

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

The diagram shows that angle VTU = y+y = 2y.

Focus your attention on triangle TUV.

Since TU = UV, this means the base angles T and V (which are opposite the congruent sides) are congruent angles. We found that angle T was 2y earlier. This means angle V is also 2y.

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

Now shift your focus to triangle TSV.

This triangle has the inner angles

Recall earlier that we found y = x at the conclusion of the first section. Using that and the fact that the angles of triangle TSV add to 180, we get...

T+S+V = 180

2x+y+2y = 180

2x+3y = 180

2x+3x = 180 .... replace y with x, since y = x

5x = 180

x = 180/5

x = 36

This is the value of y as well.

Answer: 504 ways

Step-by-step explanation:

Given

There are nine different marbles in a bag

For the first time, there are 9 possible ways to draw a marble

After removal of first marble, there are 8 possible ways to draw a marble

for the third time, there are 7 possible ways

so, total ways to draw three marble are

[tex]\Rightarrow 9\times 8\times 7=504\ \text{ways}[/tex]

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{6} . \sqrt[3]{4} [/tex]

[tex] = \sqrt[3]{6 \times 4} [/tex]

[tex] = \sqrt[3]{3 \times 2 \times 2 \times 2} [/tex]

[tex] = 2 \sqrt[3]{3} (ans)[/tex]