Use the long division method to find the result when 3x³ + 11x² - 12x - 19 isdivided by 3x + 2. If there is a remainder, express the result in the formr(x)q(x) + b(z)

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

$600

Step-by-step explanation:

Let x = og price

x - 0.29x = 426

0.71x=426

÷0.71 ÷0.71

x = 600

Answer:

Given below.

Step-by-step explanation:

using the formula :

y = mx + c ....where m is the slope and c is the y intercept

(a) if slope 1/3; y intercept = -1

y = x/3 - 1

(b) if slope -2/5; y intercept = 0

y = -2x/5 + 0

y = -2x/5

(c) if slope= -1; y intercept= 4

y = -1x + 4

y = -x + 4

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Here's the solution ~

Slope intercept form of an equation is :

\(\qquad \sf  \dashrightarrow \: y = mx + c\)

where,

Now, let's find the required equations ~

\(\qquad \sf  \dashrightarrow \: y = \dfrac{1}{3} x - 1\)

\(\qquad \sf  \dashrightarrow \: y = - \dfrac{2}{5} x\)

\(\qquad \sf  \dashrightarrow \: y = - x + 4\)

Answer:

it's. is now the MA plz I miss you

si pudiera escoger entre vivir eternamente y vivir dos veces

yo escogeria vivir dos veces porque vivir una vida eterna sin ti a mi lado seria el mayor sufrimiento, ahora vivir dos veces me dejaria tranquilo porque despues del final de mi vida podria volver a encontrarme contigo y vivir todos los momentos bellos una vez mas y eso seria un sueño volviendose realidad

Answer:

$3,015

Step-by-step explanation:

To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:

FV=PV*(1+i)^n

FV= future value

PV= present value= $1,900

i= interest rate= 8%

n= number of periods of time= 6 years

FV=1,900*(1+0.08)^6

FV=1,900*(1.08)^6

FV=3,015

According to this, the answer is that in 6 years you will have $3,015 in your retirement account.

Answer:

Greatest digit: 8872.

Smallest digit:2278.

9514 1404 393

Answer:

Step-by-step explanation:

Greatest

The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.

Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.

Your greatest 4-digit number is 8872.

Smallest

To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.

Only one triangle possible with angle 38.2° at C.

According to the given statement

we have to seek out that the measurement of m with the help of the a and c.

Then for this purpose, we all know that the

The ambiguous case occurs when one uses the law of sines to see missing measures of a triangle when given two sides and an angle opposite one in every of those angles (SSA).

According to the this law

The equation become

35/sin(60) = 25/sinC

sinC = 0.6185895741

C = 38.2, 141.8

Since 141.8+60 = 201.8 > 180

It will not form a triangle.

So, only 1 triangle possible with angle 38.2° at C

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Law of Sines and the Ambiguous Case.

In ∆ ABC, a =35, c = 25, and m < A = 60*

How many distinct triangles can be drawn given these measurements?

Answer:

3/8

Step-by-step explanation:

Two triangles = one square

Since there are 4 squares, then there are 8 triangles

We see one triangle is shaded.

We also see one square is shaded, which means 2 triangles are shaded.

2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Given:

The points A(-3, 3), B(0, 7), C(4, 10), D(1, 6) create parallelogram ABCD.

To find:

The perimeter of parallelogram ABCD.

Solution:

Distance formula is

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using distance formula, find the side length of parallelogram.

\(AB=\sqrt{(0-(-3))^2+(7-3)^2}\)

\(AB=\sqrt{(3)^2+(4)^2}\)

\(AB=\sqrt{9+16}\)

\(AB=\sqrt{25}\)

\(AB=5\)

Similarly,

\(BC=\sqrt{\left(4-0\right)^2+\left(10-7\right)^2}=5\)

\(CD=\sqrt{\left(1-4\right)^2+\left(6-10\right)^2}=5\)

\(AD=\sqrt{\left(1-\left(-3\right)\right)^2+\left(6-3\right)^2}=5\)

Now,

Perimeter of ABCD is

\(P=AB+BC+CD+AD\)

\(P=5+5+5+5\)

\(P=20\)

Therefore, the perimeter of parallelogram ABCD is 20 units.

Answer:

it is parralel

Step-by-step explanation:

The slopes of 10x+5y=−5 and y=−2x+6 are both −2.Parallel

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

y= 2x+12

Step-by-step explanation:

y=mx+c

y= 2x+12

(0,y) (-4,4)

2=y-4/4

8=y-4

12=y

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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0.12y-1=0.095-0.9

or, 0.12y=0.095-0.9+1

or, 0.12y=0.195

or, y = 0.195/0.12 = 195/120=1.625

The answer will be 1.625

0.12y-1=0.095-0.9

0.12y=0.095-0.9+1

0.12y=0.195

0.12y/0.12=0.195/0.12

therefore, y= 1.625

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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The pattern involves squaring the sum of the given numbers.

Here's the process for each equation:

3+2=5, then \(5^2=25\)

5+4=9, then \(9^2=81\)

2+2=4, then \(4^2 = 16\)

On careful analysis of the given pattern and answers, I am able to observe that this is a pattern-based numerical puzzle where the standard rules of arithmetic do not apply.

In this case, the pattern involves squaring the sum of the given numbers.

Here's the process for each equation:

3+2=5, then \(5^2=25\)

5+4=9, then \(9^2=81\)

2+2=4, then \(4^2 = 16\)

So, the answer is obtained by first adding the numbers and then squaring the result.

This puzzle demonstrates that the logic behind the equations is different from traditional arithmetic, showcasing the importance of understanding the pattern to get the correct answer.

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You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

Answer:

W=−5

r=3

hope this helps!!

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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a) The interval 0 to 29500 P is increasing and between 29500 and 50,000 P is decreasing.

b) 29500 bags of popcorn must cinema sell in order to maximize profit.

We have,

P = 2.36 x - (x²/25000) -3500

Now, the process begins by articulating its derivative,

P'(x) = d(2.36x) - d(x^2 / 25000) - d(3500)

P'(x) = 2.36 - (2x / 25000)

P'(x) = 2.36 - x / 12500

As, the critical points may be found by setting P'(x) = 0:

2.36 - x/ 12500 = 0

2.36 = x / 12500

x= 29500

For x greater than zero & less than 29500:

P'(x) = 2.36 - x / 12500 > 0

and, For 29500 < x < 50000

P'(x) = 2.36 - x / 12500 < 0

So, the interval is from 0 to 29500.

b) Again differentiating

P'(x)= -1/12,500 <0

Thus, the profit will be maximum.

Hence, 29500 bags of popcorn must cinema sell in order to maximize profit.

The maximum profit = $31,310

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Answer:

77.9

Step-by-step explanation:

$1=B6.19

therefore; B6.19=$1

B1=$1\6.19

B482=$1\6.19×482

B482=482÷6.19

B482=77.8675283

B482=77.9

The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle showing in a picture.

As we know, the sin is the ratio to opposite to the hypotenuse.

Sinθ = 4/5

Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

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In the first system, x and y are both free variables.

In the second system, y is a basic variable and x is a free variable.

In the third system, x3 is a basic variable and a, x1, x2, and XA are free variables.

Finally, the solution space of the original linear system can be described using a parametric description.

For the first system, the solution space is:

x = t

y = -2t

where t is an arbitrary scalar.

For the second system, the solution space is:

x = t

y = (3 - 2t)/2

where t is an arbitrary scalar.

For the third system, the solution space is:

a = s

x1 = t1

x2 = t2

x3 = -1/2

XA = -2

where s, t1, and t2 are arbitrary scalars

The first step is to write the augmented matrix corresponding to each linear system. The augmented matrix for a system of m linear equations with n variables is obtained by writing each equation in the form of [A|b], where A is the coefficient matrix and b is the constant vector.

For the first system, we have:

2x + y = 0

2 + 2y = 3

The augmented matrix is:

[2 1|0]

[0 2|3]

For the second system, we have:

-2x + 2y = 6

2.02 + 3 = 2

The augmented matrix is:

[-2 2|6]

[0 3|2]

For the third system, we have:

3a + 2x3 = -1

-11 - 24 + 13 = 2 + 2x2

-2x1 - 2x2 + 6.23 - 244 = -13 + 934

-22 + 2x3 - XA = 0

The augmented matrix is:

[3 0 2 0|-1]

[0 0 2 1|2]

[-2 -2 0 0|934]

[0 0 2 -1|0]

Next, we will reduce the augmented matrices to their row echelon form. The row echelon form of a matrix is an upper triangular matrix in which the leading (leftmost nonzero) entry in each nonzero row occurs to the right of the leading entry in the previous row.

[2 1|0]

can be transformed to its row echelon form as:

[2 1|0]

[0 2|3]

And, the row echelon form of the second system is:

[-2 2|6]

[0 3|2]

Finally, the row echelon form of the third system is:

[3 0 2 0|-1]

[0 0 2 1|2]

[0 0 0 4|944]

[0 0 0 0|0]

In the row echelon form, the basic variables are those corresponding to the leading (leftmost nonzero) entries in each row, and the free variables are the other variables.

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