How many complex roots does the polynomial equation below have?
x5 - 3 = 0
01
02
O 3
5

Answers

Answer 1

Answer:

4.

Step-by-step explanation:

I will have one real root = fifth root of 3.

As it has a total of 5 roots ( By the Fundamental Theorem of Algebra) then it must have 4 complex roots.

Answer 2

Answer:

the answer is actually 5

Step-by-step explanation:

to state the number of complex roots you need to find the variable with the highest exponent and whatever number the exponent is is how many possible answers there are which is  what they are asking in the question. so whatever exponent  is the biggest in the problem is the number of complex roots. so since 5 is the only exponent its the largest exponent in the polynomial equation meaning brainlyest is wrong 5 is the answer


Related Questions

pls help me if you can

Answers

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.

Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00

Answers

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6

Answers

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

-1

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?

Answers

she earns $20.625 in 3 hours and 45 mins

Help plz help I need help

Answers

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

Please help I will mark brainliest for correct answers!​

Answers

Answer:

D. 57

Step-by-step explanation:

Q2=42

Q3=57

The answer is 61 but it doesn’t appear their. So it’s either 57 or 65 Bc they are in the third quartile

i neeed help i want help i will mark brainlisst if i can do that

Answers

Answer:

1/4

Step-by-step explanation:

there are 12 options, and only three are correct.  3/12 simplifies to 1/4

Answer:

1/4

Step-by-step explanation:

There are 12 possible outcomes

The ones that have a head and an even number are H2  H4   H6

P( head and even number) = head and even number/ total outcomes

                                             = 3/ 12

                                              =1/4

Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans.

Answers

Answer:

c but no step by step sorry

Answer: B and D

Step-by-step explanation:

Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish

Answers

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation:

What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

A. 8.1
B. 9.1
C. 23
D. 3

Answers

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

Triangle NMP Triangle NPO

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

[tex]{\frac{NP}{MP}[/tex]  = [tex]\frac{PO}{NP}[/tex]    

[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.

A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?

Answers

Answer:

Step-by-step explanation:

There are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

To find the number of permutations of picking 4 pens from a box of 6 different colored pens, we can use the formula for permutations. The formula for permutations is given by:

P(n, r) = n! / (n - r)!

Where n is the total number of items and r is the number of items to be chosen.

In this case, we have 6 different colored pens in the box and we want to choose 4 pens. Plugging these values into the formula, we get:

P(6, 4) = 6! / (6 - 4)!

= 6! / 2!

= (6 × 5 × 4 × 3 × 2 × 1) / (2 × 1)

= 720 / 2

= 360

Therefore, there are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

Learn more about permutations here: brainly.com/question/3867157

#SPJ2

Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?

Answers

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.

Answers

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]

Help please Name the quadrant or axis where each point lies.

Answers

Answer:

x-axis.3rd Quadrant4th Quadrant.2nd Quadrant

1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.

Answers

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

What is a uniform probability distribution?

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

How do we solve the given question?

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

#SPJ2

algebra 1 help the answers are on the bottom please help me

Answers

Answer:

Answer b is correct!

Inequality Form: x <1 /2 or x > 1

Interval Notation: (-infinity, 1/2) U (1, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Correct answer is b:)

If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.

Answers

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct

3x-6=84
3x=90
x=30
The number is 30.

I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.

Answers

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

The three positive numbers will be 5, 5 and 14.

Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.

In this case, we've been given 2 of the numbers to be 5.

Then, the last number will be:

x - 5 = 9

x = 9 + 5

x = 14

Therefore, the three positive numbers are 5, 5 and 14.

Read related link on:

https://brainly.com/question/24429956

someone help please lol I’m stuck !!!!!

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2√15

▹ Step-by-Step Explanation

[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\mathrm{A.}[/tex] 2√15

Step-by-step explanation:

√4 × √3 × √5

Apply rule √a·√b·√c= √(abc)

√(4 × 3 × 5)

√60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The highest perfect square is 4.

One of the pair factors of 60 is 4 and 15.

60 can be written as a product of 4 and 15.

√(4 × 15)

√4 × √15

√4 = 2

2 × √15

Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence. -3, 9, -27, 81, ...

Answers

Answer:

-243

Step-by-step explanation:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   

    We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

    Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Answer:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

   An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

   A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   

   We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

   Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Step-by-step explanation:

HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144. Previous Year Number of Bushels Price of Corn (dollars) 3 21 6 42 9 63 12 84 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH

Answers

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

                                                  3 21

                                                 6 42

                                                  9 63

                                                 12 84

We can find the rate of change for the previous year by using the slope formula

m = (y2-y1)/(x2-x1)

m = (84-63)/(12-9)

    =21 / 3  

    = 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

Answer:

Part A: 8 dollars/brushel

Part B: 1 dollar/brushel

Step-by-step explanation:

Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:

[tex]f(x)=8x[/tex]

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.

We know that a linear function has a constant rate of change, and that is called SLOPE.

In order to calculate the slope of the linear function:

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]

Therefore, the rate of change of a bushel of corn in the current year is 8

Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Previous Year Number of Bushels Price of Corn (dollars)

Ordered pairs:

[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]

Let's calculate the slope again.

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]

The difference is  1 dollar/brushel.

A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Answers

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

s25=625, s13=169 find an

Answers

Answer:what!?

Step-by-step explanation:

Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?

Answers

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

The picture shows a triangular island:

Which expression shows the value of q?
A. r cos 550
B. r sin 550
C. sin over 55°
D. cos over 55°​

Answers

Answer:

I think the answer is C but I'm not 100% sure

Answer:

C.

Step-by-step explanation:

Follow this Phrase, Soh-Cah-Toa.

To find q we will be using Sin.

Sin uses the opposite leg and hypotenuse

the problem will be set up like this:

Sin(55)=r/q

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]

Answers

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

Answer: b 6p/7

Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.

Using what you know about angles and translations, find all of the angle
measures in the image below.
.
<1 = 135°
<2 =
<3 =
<4 =
<5 =
<6 =
<7 =
<8 =
Explain how you found the measure of <8.

Answers

Answer:

angle 8 is the same as angle 1.

Step-by-step explanation:

opposite side exterior angles are congruent

Answer:

2=45, 3=45, 4=135, 5=135, 6=45, 7=135, 8=135

Step-by-step explanation:

Assuming that these lines are parallel, alternate interior angles are supplementary and alternate exterior angles are also supplementary. So, we know that 1=135 so that means we can do 180-135=45 so 2=45. 1 and 4 are equal to each other because of the vertical angle theorem. So every angle is either 45 degrees or 135 degrees. So:

2=3=6=7

1=4=5=8

You can use the theorems to figure out which angles are congruent and which angles are supplementary in a transversal.

I hope this makes sense

Can you guys please help me with this? It’s for tomorrow

Answers

1: 21
2: 4a
3: m^2
4:4x+4
5:7d+21
6:y(y+3)
7:x+1
8:d+4
9:y+3
seems u got answers for the rest so i will not answer them

Find m∠CBD,,,,,,,,,,

Answers

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

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Question: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 3x y = 2 6x 2y = 4 Answers: (1, 1) (2, 4) (0, 2) (2, 4) Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m above the ground. His weight of 680 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N).A) What is the magnitude of the component of Tom's weight parallel to the ladder? B) What is the magnitude of the component of Tom's weight perpendicular to the ladder? Select the correct answer. The capacity in cubic feet of a cylindrical silo is given by the function C(x), where x is the radius of the silo in feet. The area of the circular base of the silo is given by the function A(x). C(x) = 6.28x3 + 18.84x2 A(x) = 3.14x2 Which function, H(x), represents the height of the silo? H(x) = x + 3 H(x) = 2x 6 H(x) = 2x + 6 H(x) = x 3 Explain the term isomers? For the first time in two years, Big G (the cereal division of General Mills) raised cereal prices by 4 percent. If, as a result of this price increase, the volume of all cereal sold by Big G changed by -5 percent, what can you infer about the own price elasticity of demand for Big G cereal Decide si la siguiente oracin es CORRECTA O INCORRECTA.No quiero tu archivo, quiero el mo.CorrectoIncorrecto You can make the generalization that the baseball communityviews Jackie Robinson as Katrina studied hard for a biology test about the anatomy of a frog, but she did poorly and is using the "glows and grows strategy to figure out why.Which statement best fits the "grows part of this strategy?She understands what is important.She can explain important keywords.She identifies areas for improvement.She has mastered the topic. Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number. What true bearing is WSW equivalent to? The valve was tested on 240240 engines and the mean pressure was 7.57.5 pounds/square inch (psi). Assume the population standard deviation is 1.01.0. The engineer designed the valve such that it would produce a mean pressure of 7.67.6 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. Round your answer to four decimal places. Is (0, 3) a solution to the following system?Y=-x+3Y=2x-3A No, because it does not check in either equation.B. No, because it does not check in the first equation.C. No, because it does not check in the second equation.D. Yes, because it checks in both equations. Which of the following is a vector quantity?A. DistanceB. SpeedO C. 30 m/sD. 9.8 m/s2 down