Solve the following equation:
[tex]z {}^{4} + z {}^{2} - i \sqrt{3} = 0[/tex]
Note that:
[tex]i = \sqrt{ - 1} [/tex]
× Irrelevant answers will be blocked and reported.​

Answers

Answer 1

Complete the square.

[tex]z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0[/tex]

[tex]\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4[/tex]

Use de Moivre's theorem to compute the square roots of the right side.

[tex]w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)[/tex]

[tex]\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2[/tex]

Now, taking square roots on both sides, we have

[tex]z^2 + \dfrac12 = \pm w^{1/2}[/tex]

[tex]z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2[/tex]

Use de Moivre's theorem again to take square roots on both sides.

[tex]w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)[/tex]

[tex]\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}[/tex]

[tex]w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)[/tex]

[tex]\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}[/tex]


Related Questions

(g) Every student of class IV donated as much money as their number to make a fund for landslide, If there are 68 students in class IV how much money did they collect?​

Answers

Answer:$2346

Step-by-step explanation: Assuming that the students' numbers start at 1, we have 1+2+3+4.....+65+66+67+68 as the total amount of money raised. We can see that 1+68 = 69 and 2+67 also equals 69. So, we can use this method to figure out how many 69s are in the sum. Since 68 divided by 2 is 34, there are 34 69s in the sum. 34x69 = 2346.

a. Based on the picture, what properties can you be sure this figure has? Think about angles, lines, and points.
b. Does ray l bisect ∠ABC? Explain your thinking.
c. What would you need to do to prove that ray l bisects ∠ABC?

Answers

The angle measures ABD = 45, DBC = 45 and ABC = 90 imply that ray l bisect ∠ABC?

The properties of the figure

From the figure, we have the following highlights:

The lines AB and BC are perpendicular lines i.e. the angle at B =90Ray I bisects the angle ABC (because 45 + 45 = 90)Angles ABD and DBC are adjacent angles

This means that the points ABC can be joined to form a right triangle

Does ray l bisect ∠ABC?

Yes, it does.

This is so because it divides the angle ABC into equal segments.

i.e.

ABC = 90

DBC = 45

So, we have

ABD = 90 - 45

ABD = 45

The angle measures ABD = 45, DBC = 45 and ABC = 90 imply that ray l bisect ∠ABC?

What would you need to do to prove that ray l bisects ∠ABC?

You would need the measures of ABC and ABD

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Try it
How many true, real number solutions does the equation n + 2 = √-16-5n have?
solution(s)

Answers

Answer:

  none

Step-by-step explanation:

The domain of the equation can be found by looking at the requirements ...

the square root is non-negativethe argument of the square root is non-negative.

Domain

For n+2 ≥ 0, we find ...

  n ≥ -2 . . . . . . . . subtract 2 from both sides

For -16-5n ≥ 0, we find ...

  -16 ≥ 5n . . . . . add 5n

  -3.2 ≥ n . . . . . divide by 5

Together, these domain restrictions require that ...

  n ≥ -2

  n ≤ -3.2

These intervals do not overlap, so there are no values of n that can satisfy this equation.

__

Additional comment

The solutions would appear on the attached graph as points where the curves intersect above the x-axis. They do not intersect, hence the equation has zero solutions.

__

If we were to solve this without regard to domain restrictions, we would square both sides to get ...

  (n +2)² = -16 -5n

  n² +9n +20 = 0 . . . . . put in standard form

  (n +4)(n +5) = 0 . . . . . factor

  n = {-5, -4} . . . . . . . . . both are extraneous solutions.

These "solutions" do not satisfy the requirement that the square root be positive.

A. What are the coordinates of R’ if R (-2, 7) is dilated around the origin with k=3?
B. What are the coordinates of T’ if T (4,-1) is dilated by a scale factor of ½ with R as the center of the dilation?

Answers

A: The coordinates of the point R' are (- 6, 21).

B: The coordinates of the point T' are (1, 3).

How to generate new points by definition of dilation

In this question we must make use of rigid transformations to find the location of new points, rigid transformations are transformations used in geometric loci such that Euclidean distance is conserved. In this case, we need to use a kind of rigid transformation known as dilation, which is defined below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]      (1)

Where:

O(x, y) - Center of dilationk - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting point

Part A - If we know that O(x, y) = (0, 0), R(x, y) = (- 2, 7) and k = 3, then the coordinates of point R' are:

R'(x, y) = (0, 0) + 3 · [(- 2, 7) - (0, 0)]

R'(x, y) = (- 6, 21)

Part B - If we know that O(x, y) = (- 2, 7), T(x, y) = (4, - 1) and k = 1/2, then the coordinates of point T' are:

T'(x, y) = (- 2, 7) + (1 / 2) · [(4, - 1) - (- 2, 7)]

T'(x, y) = (- 2, 7) + (1 / 2) · (6, - 8)

T'(x, y) = (- 2, 7) + (3, - 4)

T'(x, y) = (1, 3)

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mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flour cuts the recipe down to 7 cups if flour how much sugar should she add

Answers

Mary added [tex]$24 \frac{1}{2}[/tex] cups of sugar.

How to estimate how much sugar should Mary add?

The ratio of flour to sugar exists at 9 cups: 2 4/7 cups

Utilizing equivalent ratios, given that 7 cups of sugar was utilized,

Let cups of flour needed = x such that our equation becomes

flour/sugar[tex]$ =\frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]  

[tex]$ \frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]

Convert mixed numbers into improper fractions

[tex]$2 \frac{4}{7}= \frac{18}{7}[/tex]

simplifying the above equation, we get

[tex]$\frac{9}{\frac{18}{7} } = \frac{x}{7}[/tex]

= [tex]$24 \frac{1}{2}[/tex]

x = 24.5

The value of x = 24.5.

Therefore, [tex]$24 \frac{1}{2}[/tex] cups of sugar exist required.

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A car traveled at an average speed of 80 km/h for 5 hours. What was
the distance traveled?

Answers

Answer:

400 km

Step-by-step explanation:

Distance = rate times time

Distance = 80(5)

Distance = 400

Two debt payments of $2000 each are due now and nine months from now. If money is worth 8%, what single payment six months from now is required to settle the debt?

Answers

The single payment six months from now is required to settle the debt will be $4042.

How to calculate the amount?

The interest rate monthly will be 8/1200.

The number of time period given is 6 months.

Therefore, the future value will be:

= 2000(1 - 8/1200)^6

= 2081.35

The present value will be:

= 2000(1 - 8/1200)^3

= 1960.53

Therefore, the single payment will be:

= 2081.35 + 1960.53

= 4042

In conclusion, the correct amount is $4042.

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Please help i cant seem to figure this out

Answers

Answer:

A

Step-by-step explanation:

First we need to solve the inequality: -3b-15>-24

-3b-15>-24

-3b>-9

b<3 (we divided by a negative so we flip the sign)

This means that we have an empty circle and the arrow pointing left

[tex]\boldsymbol{\sf{-3b-15 > -24 }}[/tex]

Add 15 to both sides.

      [tex]\boldsymbol{\sf{-3b > -24+15 \ \longmapsto \ \ \ [Add \ -24+15] }}[/tex]

               [tex]\boldsymbol{\sf{ -3b > -9}}[/tex]

Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.

               [tex]\boldsymbol{\sf{b < \dfrac{-9}{-3} \ \ \longmapsto \ \ [Split] }}[/tex]

                    [tex]\red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ b < 3}}}}[/tex]

Alternative "A"

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Two jets leave an air base at the same time and travel in opposite directions. One jet travels 80 mi/h faster than the other. If the two jets are 11392 miles apart after 8 hours, what is the rate of each jet

Answers

The rate of the slower jet is 672 miles per hour.

The rate of the slower jet is 752 miles per hour.

How to find the rate of the jets?

Two jets leave an air base at the same time and travel in opposite directions.

One jet travels 80 mi/h faster than the other.

let

x = rate of the slower jet

faster jet = 80 + x

Therefore,

rate = distance / time

The two jets are 11392 miles apart.

(80 + x)8 + 8x = 11392

640 + 8x + 8x = 11392

640 + 16x = 11392

16x = 11392 - 640

16x = 10752

divide both sides by 16

x = 10752 / 16

x = 672 miles per hour

rate of the faster jet = 80 + 672 = 752 miles per hour

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Which of the following demonstrates the correct calculation for simple interest?

Answers

The statement that demonstrates the correct calculation for simple interest is " A principal balance of $10,000 at 5% interest earns $500 each year as interest.

What is a simple interest?

Simple interest is based on the principal amount of a loan or the first deposit in a savings account.

Simple interest does not compound interest on an interval basis. For instance quarterly, semi annually, annually etc. This are carried out in the case of compound interest.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Hence base don the explanation above, the statement that demonstrates the correct calculation for simple interest is " A principal balance of $10,000 at 5% interest earns $500 each year as interest.

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Will mark brainliest
A table of values of an increasing function f is shown.
x 10 14 18 22 26 30
f(x)

−14

−8

−1

1

4
7

Answers

The upper estimate and lower estimate become R5 = 16 and L5 = −64

According to the statement

we have given that the some values of the increasing function f and we have to find the lower estimate and upper estimate values.

So, For this purpose, we know that the

the values of x is 10 14 18 22 26 30

And the values of f(x) is −14 −8 −1  1  4  7

So,

Δx = 4 because

L5 = 4(−12 − 6 − 2 + 1 + 3) = −64,

And

R5 = 4(−6 − 2 + 1 + 3 + 8) = 16.

And from these functions we see that the

The function being increasing, the Riemann sum with left endpoint L5 = −64 is a lower estimate,

And while the sum with right endpoints R5 = 16 is an upper estimate.

So, The upper estimate and lower estimate become R5 = 16 and L5 = −64

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In quadrilateral ABCD, the sides BC and AD are congruent. The diagonal AC is the bisector of the angle BAD=160 degrees, thats is 8 times greater than angle ACB. Find the measure of angle ADC

pls help

Answers

Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle CAB=m\angle CAD=80^{\circ}[/tex] (angle bisector)

[tex]m\angle ACB=20^{\circ}[/tex] (one-eighth of [tex]\angle BAD[/tex])

[tex]m\angle ABC=80^{\circ}[/tex] (sum of angles in a triangle)

[tex]\overline{AC} \cong \overline{BC}[/tex] (converse of base angles theorem)

[tex]m\angle ADC=50^{\circ}[/tex] (base angles theorem)

832 x156 show your work​

Answers

Answer:

129792

Step-by-step explanation:

         156

     ×  832

    ----------

         312

      468

+  1248

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

  129792

Use the graphing tool to find the local minimum and the local maximum for the given function.
Over the interval [-3, -1], the local minimum is
A) -3
B) -2
C) -1
D) 0
Over the interval [-1, 0], the local maximum is
A) -1
B) 0
C) 1.5
D) 4.39
Over the interval [0, 3], the local minimum is
A) -40
B) -32
C) -18
D) 0

Answers

The local minimum over the interval [-3,-1] is 0, the local maximum over the interval [-1,0] is 4.39, local minimum over the interval[0,3]is -32.

Given a graph of a function.

We are required to find:

A)Local minimum over the interval [-3,-1],

B) Local maximum over the interval [-1,0],

C) Local minimum over the interval [0,3].

We know that local maximum is a point after which the value of function starts decreasing and the local minimum is a point after which the value of function starts increasing.

When we see the graph from x=-3 to x=-1 we can find that the highest point is where the value of f(x) is minimum and after which the graph is increasing is at x=-2 and y=0, so the value of local minimum will be 0.

When we see the graph from x=-1 to x=0 we can find that the highest point is where the value of f(x) is maximum and after which the graph is decreasing is at  y=4.39, so the value of local maximum will be 4.39.

When we see the graph from x=0 to x=3 we can find that the highest point is where the value of f(x) is minimum and after which the graph is increasing is at  y=-32, so the value of local minimum will be -32.

Hence the local minimum over the interval [-3,-1] is 0, the local maximum over the interval [-1,0] is 4.39, local minimum over the interval[0,3]is -32.

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if im taking a 32 hour course and ive completed 73% of it how much time do i have left

Answers

Answer:

8.64 hours, so

8 hours, 38 mins, 24 seconds

Just find that 27% you have left, then find how much that 27% is in terms of time.

It might be wrong so double check it please.

Answer:

8.64 hours

which is 8hrs 38mins and 24secs

Step-by-step explanation:

If you've completed 73% then you have 27% left to go still. (100-73 = 27)

27% of 32

= .27×32

= 8.64 hours left

That is 8hrs and .64 of an hour .64×60=38.4 mins

which is 38 mins and .4 of a minute.

.4×60 = 24secs

Probably you will just round this answer.

Name a line that does not appear to intersect plane L.

Answers

Answer:

  BE

Step-by-step explanation:

A line and a plane will not intersect if they are parallel. A line is named by naming any two points on it, in any order.

Line

The line containing points B, E, F appears to be parallel to plane L. As such, it will remain at the same distance from plane L throughout its infinite length. The line can be named by 2 points in any of 6 different ways.

Line BE is parallel to plane L.

__

Additional comment

Other names for the same line include ...

  BF, EF, EB, FB, FE.

Put y-x=-8 of a line into slope-intercept form, simplifying all fractions.

Answers

Answer: [tex]y= x-8[/tex]

Step-by-step explanation:

Slope intercept form has a general formula of [tex]y=mx +b[/tex]m represents the slope of the lineb represents the value of the lines y-intercept

the equation must be rearranged into the general formula by isolating for 'y'

[tex]y-x=-8[/tex]

to remove the x from the left side of the equation the opposite operation must be done to both sides

[tex]y-x+x=-8+x[/tex]

the negative and positive x cancel out on the left side, leaving us with the equation with y by itselfnow you can rearrange to put the equation into [tex]y=mx+b[/tex]

Final Answer: [tex]y=x-8[/tex]

A farmer finds there is a linear relationship between the number of bean stalks, n , she plants and the yield, y , each plant produces. When she plants 30 stalks, each plant yields 25 oz of beans. When she plants 32 stalks, each plant produces 24 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.

Answers

Answer:

  y = -1/2n +40

Step-by-step explanation:

We are given two ordered pairs (stalks, ounces) and asked for the slope-intercept form equation of the line through them.

Slope

The slope of the desired line can be found from the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points (30, 25) and (32, 24), the slope is ...

  m = (24 -25)/(32 -30) = -1/2

Y-intercept

The y-intercept of the desired line can be found from the formula ...

  b = y -mn

  b = 25 -(-1/2)(30) = 25 +15 = 40

Slope-intercept equation

The slope-intercept equation of a line is ...

  y = mn +b . . . . . line with slope m and y-intercept b

  y = -1/2n +40 . . . . . . line with slope -1/2 and y-intercept 40

The linear relationship between stalks (n) and yield (y) is ...

  y = -1/2n +40

QUESTION 9
Find f(g(2)) for the following:
Given: ƒ (x) = 2x² − 1, g(x)=x+2
-
Find:f(g(2))

Answers

Answer:

x = 31

Step-by-step explanation:

Given:

f(x) =

[tex]2 {x}^{2} - 1[/tex]

g(x) = x + 2

We will first find g(2).

g(2) = 2 + 2 = 4

Next we will find f(g(2)).

f(g(2))= f(4) =

[tex]2( {4}^{2} ) - 1 \\ = 2(16) - 1 \\ = 32 - 1 \\ = 31[/tex]

1+1-1(2)+1=?
A,0
B,1
C,2
D,3​

Answers

Answer:

B. 1

Step-by-step explanation:

-1*2 = -2

-2+1 = -1

-1+1 = 0

0+1 = 1

Find the ratio of the number of days with no fire incidents to the number of days with more than 5 fire incidents .​

Answers

Answer:

ratio = 4

Step-by-step explanation:

According to the given table:

• the number of days with no fire incidents

  = 16

• the number of days with more than 5 fire incidents

  = 2 + 2

  = 4

Conclusion :

the ratio of the number of days with no fire incidents

to the number of days with more than 5 fire incidents is :

16 to 4 (16 : 4)

Then

The ratio = 4


After descending 8.25 feet, a bird is now
at a height of 16.5 feet. What was the initial
height of the bird?

Answers

24.75 feet was the initial height of the bird. We can use definitions and corresponding addition here:

The word descending is denoted as something or someone that moves or slopes downward. Our equation will look like so, with x representing the initial height of the bird:

x - 8.25 = 16.5 (or in other words, 16.50)

Now that we have our equation set up, we can use inverse operations to solve.

16.50 + 8.25 = 24.75

Since doing addition gave us a total of 24.75, we know that the initial height of the bird is 24.75 feet. To check our work, we can plug this number in for x:

24.75 - 8.25 = 16.50

When calculating, this equation is true. Therefore, the initial height of the bird is 24.75 feet. If you need extra help, do not hesitate to let me know and I will gladly assist you.

Rock Solid Bank and Trust (RSB&T) offers only checking accounts. Customers can write checks and use a network of automated teller machines. RSB&T earns revenue by investing the money deposited; currently, it averages 7.00 percent annually on its investments of those deposits. To compete with larger banks, RSB&T pays depositors 0.50 percent on all deposits. A recent study classified the bank’s annual operating costs into four activities.

Activity Cost Driver Cost Driver Volume
Using ATM Number of uses $ 4,200,000 5,600,000 uses
Visiting branch Number of visits 2,520,000 420,000 visits
Processing transaction Number of transactions 18,480,000 224,000,000 transactions
Managing functions Total deposits 16,800,000 $ 1,050,000,000 in deposits
Total overhead $ 42,000,000

Data on two representative customers follow.

Customer A Customer B
ATM uses 100 200
Branch visits 5 20
Number of transactions 40 1,500
Average deposit $ 6,000 $ 6,000

Required:
a. Compute RSB&T's operating profits.
b. Compute the profit from Customer A and Customer B, assuming that customer costs are based only on deposits. Interest costs = 0.50 percent of deposits; operating costs are 4 percent (= $42,000,000/$1,050,000,000) of deposits.
c. Compute the profit from Customer A and Customer B, assuming that customer costs are computed using the information in the activity-based costing analysis.

Answers

A) RSB&T's operating profits are 2,625,000.

B) The profit from Customer A = 42 and Customer B=42.

C) The profit from Customer A=77.7 and Customer B=-207.75(loss)

What does mean by profit?Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity outweighs the costs, costs, and taxes incurred to maintain the activity in question.A business's financial gain when revenue exceeds costs and expenses is frequently referred to as profit. One cup of lemonade, for instance, costs a child at a lemonade stand one quarter. She then charges $2 for the beverage. She made $1.75 in profit on the cup of lemonade.All costs are first deducted from sales, and the result is then divided by sales. This creates the profit formula, which is expressed as a percentage. (Sales - Expenses) Sales = Profit is the formula.

Data on two representative customers follow.

[A] Compute RSB&T's operating profits.

Computation of Operating Profits:-

Revenue                                   19,500,000

Interest to Depositors            (1,875,000)

Overheads                          (15,000,000)

Total operating Profit              2,625,000

[B] Costs are based only on Deposits

Particulars       A          B

Revenue               312           312

Interest Cost        -30         -30

Operating Cost    -240       -240

Profits                42        42

[C] As per Activity based costing

Particulars                       A              B

Revenue                              312      312

Interest Cost                       -30      -30

ATM Uses                       -75     -150

Branch Visit                       -30     -120

Processing Transaction      -3.3   -123.75

Managing Function        -96      -96

Profits/Loss                        77.7     -207.75

Therefore,

A) RSB&T's operating profits are 2,625,000.

B) The profit from Customer A = 42 and Customer B=42.

C) The profit from Customer A=77.7 and Customer B=-207.75(loss)

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says the expression

2√25+√-16

Answers

Answer:

10 + 4i

Step-by-step explanation:

2 sqrt (25) + sqrt (-16) =

2 * 5     + 4i

10 + 4i

Answer:

[tex]10 + 4i[/tex]

Step-by-step explanation:

Original Equation:

[tex]2\sqrt{25} + \sqrt{-16}[/tex]

Simplify sqrt(25)

[tex]2*5+\sqrt{-16}[/tex]

Simplify multiplication

[tex]10+\sqrt{-16}[/tex]

Split the radical -16 into two, using the identity: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]

[tex]10 + \sqrt{-1}*\sqrt{16}[/tex]

Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number

[tex]10 + 4i[/tex]

Find the value of x.

Answers

Answer:

x = 106 degrees

Step-by-step explanation:

x + 104 + 40 + 110 = 360

x + 254 (No more 254)

- 254 (Again no more 254)

x = 106

Answer is 106

Step by step.

Using supplementary angle theory I was able to find three of the interior angles. The 4th interior angle was found by subtracting the three known angles from 360, finding the 4th angle is 74.

So again we use supplementary angle to find the value of x.
180 - 74 = 106

Use the Fundamental Counting Principle to solve.
There are 9 performers who will present their comedy acts this weekend at a comedy club. One of the performers
insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different
ways are there to schedule the appearances?

There are ways to schedule the appearances.
(Simplify your answer.)
GECOD

Answers

[tex]number \: of \: performances = 9 \\ note = \\ one \: insists \: on \: being \: last \\ number \: of \: flexible \: performances = 9 - 1 = 8 \\ \\ c( \gamma ) = 8P8 \times 1 \\ c( \gamma ) = 8! \\ c( \gamma ) = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ c( \gamma ) = 40320 \: ways[/tex]

Which one of the following linear inequalities is graphed in the xy plane above

Answers

The linear inequality that is graphed in the xy plane is: C. 2x + 3y ≤ 4.

How to Write the Linear Inequality of a Graph?

Values in the shaded part are the solution of a a linear inequality. Thus, a dotted or dashed line is used on the graph when the inequality sign is either "<" or ">". On the other hand, when a line that is not dotted or dashed is used when the inequality sign is either "≤" or "≥". These lines, dotted or not are the boundary lines.

Also, when the shaded area is above the boundary line, the sign "≥" or ">" is used. When the shaded part is beneath the boundary line, "≤" or "<" is used in the linear inequality.

The graph given has a boundary line that is not dashed or dotted, and also, the shaded part is beneath the boundary line. Therefore, the inequality sign to use is "≤".

Find the slope:

Slope (m) = rise/run = -4/3 / 2 = -4/6

m = -2/3

y-intercept (b) = 4/3.

Substitute m = -2/3 and b = 4/3 into y ≤ mx + b:

y ≤ -2/3x + 4/3

Rewrite

3y ≤ -2x + 4

2x + 3y ≤ 4

The answer is: C. 2x + 3y ≤ 4.

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What are the leading coefficient and degree of the polynomial?
2+18u^4+9u-u^8
Leading coefficient:
Degree:

Answers

Answer:

-1 and degree 8

Step-by-step explanation:

the highest degree carry the leading coefficient, and the highest power take the highest degree

At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected.
3 p + p = 52
3 + p = 52
52 + p = 3 p
52 + p = 3

Answers

Answer:

A

Step-by-step explanation:

p = Pierre shells

Nardia shells = 3p

3p + p = 52

Answer:

a

Step-by-step explanation:

The percentage of each transaction contributed to the total transactions in the same Account. Use BASE_EQUIV_AMT as the unit.

Answers

The percentage that each transaction contributed to the total transactions in the same account (Cash Account and Service Revenue) is computed as follows:

Cash Account:

1. Service Revenue $900   = 8%

2. Owner's Equity, Barbara Hanson $2,200 = 19.8%

3. Accounts Receivable $750 = 6.8%

5. Note Payable $6,000 = 54.1%

6. Unearned Revenue $1,250 = 11.3%

Total cash receipts = $11,100

Service Revenue:

1. Cash $900 = 70.6%

4. Accounts Receivable $375 = 29.4%

Total $1,275

How is the percentage computed?

The percentage that each transaction contributed to the total transactions in the same account can be computed by taking the dollar value of the transaction over the total value of transactions in the same account and then multiplying by 100.

Percentage values show the degrees of relationship among variables.

The formula for computing percentage in this scenario is transaction value/total transactions value × 100%.

Transaction Analysis:

1. Cash $900 Service Revenue $900

2. Cash $2,200 Owner's Equity, Barbara Hanson $2,200

3. Cash $750 Accounts Receivable $750

4. Accounts Receivable $375 Service Revenue $375

5. Cash $6,000 Note Payable $6,000

6. Cash $1,250 Unearned Revenue $1,250

Question Completion:

The following transactions occurred during July:

1. Received $900 cash for services provided to a customer during July.

2. Received $2,200 cash investment from Barbara Hanson, the owner of the business.

3. Received $750 from a customer in partial payment of his account receivable, which arose from sales in June.

4. Provided services to a customer on credit, $375.

5. Borrowed $6,000 from the bank by signing a promissory note.

6. Received $1,250 cash from a customer for services to be rendered next year.

Use the transactions to compute the percentage of each transaction relative to the total transactions in the same account.

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