Please answer. Find the difference by subtracting the second polynomial from the first. for 10 points!!!!!!!!!!!!!

Answer:

\({ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}\)

Answer:

Step-by-step explanation:

47.2

Answer:

=7-6x

Step-by-step explanation:

7-x 4-2x

=7-6x

Answer:

5

Step-by-step explanation:

|x+3| when x = 2 is |2+3| = |5| = 5

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.

Answer:

Step-by-step explanation:

Let's denote the amount Azarias pays for rent as "x." According to the given information, Kehinde pays $80 more than twice Azarias' rent. Therefore, we can set up the following equation:

2x + $80 = $1870

To solve for x, we can subtract $80 from both sides of the equation and then divide by 2:

2x = $1870 - $80

2x = $1790

x = $1790 / 2

Evaluating the expression:

x = $895

Therefore, Azarias pays $895 for rent.

Answer:

the angle is acute angle

Answer:

The type of angle shown is an acute angle

Step-by-step explanation:

there are 4 main types of angles. this is an acute angle as it is less than 90°.

Types of angles:

The 4 main types of angles are: acute, obtuse, right angles, reflex angles.

Acute angles- Acute angles are angles less than 90°.

Obtuse Angles-Obtuse angles are angles greater than 90° but less than 180°.

Right Angles- Right angles are angles of 90°.

Reflex Angles- Reflex angles are angles greater than 180° but less than 360°.

The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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Answer:

64

Step-by-step explanation:

Once you convert -1+sqrt3i intro trig form, the modulus is 2. Since you are raising it to the 6th power, 2 to the 6th power is 64. So, the modulus of (-1+sqrt3i)^6 is 64. Hope this helps!

Answer:

64

Step-by-step explanation:

Answer:

On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

The trigonometric identity 4cos(-5B) sin3B is equivalent to 2[sin(8B) - sin(2B)]

Since we have 4cos(-5B) sin3B

Using the trigonometric identity

sin(x + y) - sin(x - y) = 2cosxsiny

So, cosxsiny = [sin(x + y) - sin(x - y)]/2

Since we have 4cos(-5B) sin3B, comparing cos(-5B) sin3B with cosxsiny, we have

x = -5B and y = 3B

So, we have cos(-5B)sin3B = [sin(-5B + 3B) - sin(-5B - 3B)]/2

= [sin(-2B) - sin(-8B)]/2

=  [-sin(2B) - {-sin(8B)}]/2 [since sin(-2B) = -sin(2B)]

=  [-sin(2B) + sin(8B)]/2

= [sin(8B) - sin(2B)]/2

So, 4cos(-5B)sin3B = 4 × [sin(8B) - sin(2B)]/2

= 2[sin(8B) - sin(2B)]

So, the trigonometric identity 4cos(-5B) sin3B is equivalent to 2[sin(8B) - sin(2B)]

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The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer:

its a im pretty sure

Step-by-step explanation:

Answer:

When you have different forms of equations you can then see equivalencies.  the different forms of equations can then be solved, each in its own manner.  meaning sometimes you can not solve one way because the equation is nested within another, a function in a function. F(x)=f(g(x))  Then you can work the problem around to different forms until you get your solution

Answer:

a. They are empty set.

b. they are finite set.

Solution,

a. A={ prime number between 6 and 7}

There are not any number between 6 and 7.

So there will be no Elements.

A={ }

It is empty set.

Empty set are those set which doesn't contain any Element.

b.B={multiples of 2 less than 20}

B={2,4,6,8,10,12,14,16,18}

It is a finite set.

Finite set are those set which we can count easily.

Hope this helps...

Good luck on your assignment...

Answer:

a idk

Step-by-step explanation:

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

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Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:Graph A.

Step-by-step explanation:

Graph A.

Step-by-step explanation:

We will try to understand the graph plotted for the change in temperature for whole day.

In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.

Then temperature rises more quickly - Slope of the second line will be more than first line.

It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.

Then the temperature dropped down slowly - Last line of the graph will go down.

By the understanding we made for the graph we find graph A is the answer.

Answer:

10/9

Step-by-step explanation:

Answer:

10/9

Step-by-step explanation:

Answer:

D. 60.3

Step-by-step explanation:

Finding the mean,

M = (sum of values of data)/(number of data)

now, number of data = 9,

calculating the mean,

M = (54 + 68 + 68 + 54 + 59 + 58 + 68 + 57 + 57)/9

M = 543/9

M = 60.333

M = 60.3

Side AC in the triangle is 3.6 and side BC in the triangle is 1.7

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side AC :

4/sin90 = AC / sin64.3

AC × sin90 = sin 64.3 × 4

AC = 0.9 ×4

AC = 3.6 ( nearest tenth)

To find side BC:

using Pythagoras theorem

4² = 3.6² + (BC)²

16 = 12.96 +(BC)²

(BC)² = 16 - 12.96

(BC)² = 3.04

BC = √ 3.04

BC = 1.7( nearest tenth)

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Answer:   y = 3/4 x + 8

Step-by-step explanation: First  you must find the slope of line k.

y2 - y1

m = -----------        The slope is 3/4

       x2 - x1

Since the two lines are paralell you know that line h has the same slope.

Next you must find the y-intercept by replacing x and y with the values given by the point.

y = 3/4x + ?  ----->  12 = 3/4(4) + ?

                              12 = 3 + 8

The y-intercept is 8

Your equation for line h is y = 3/4 x +8

Hope this was helpful!

Answer:

This is an RTD question. Here is a table based on the given information:

up/down . . . .rate . . . .time . . . .distance

upstream . . . . r-4 . . . . T . . . . 7

downstream . . . . r+4 . . . . T . . . .15

Now, rate x time = distance, so

time = distance / rate.

solve each for T and we get

T = (7/(r-4))

T = (15/(r+4))

set the times equal and we get

7%2F%28r-4%29+=+15%2F%28r%2B4%29

cross multiply to get

7r+%2B+28+=+15r+-+60

subtract 7r to get

28+=+8r+-+60

add 60 to both sides to get

88+=+8r

divide by 8 to get

r+=+8tep

Answer:

Just found that it is 3. Btw, try m a t h w a y. com

Step-by-step explanation:

Hope that helps!