verify that whether -2 and 3 are zeroes of the polynomial x^2-x=6
PLEASE HELP​

Answers

Answer 1

Answer:

Both give remainder 0 for the polynomial

Step-by-step explanation:

p(-2) = (-2)² - (-2) - 6

= 6 - 6 = 0

p(3) = (3)² - 3 - 6

= 9 - 9 = 0


Related Questions


An initial deposit of $212 is placed in
a bank account and left to grow, with
interest compounded continuously.
what will it be after 6 years?
Round your answer to the nearest dollar.

Answers

Answer:

$224.932

Step-by-step explanation:

Note: The question is not complete

say the rate is 10%

Given data

Initial depostite= $212

TIme= 6years

rate= 10%

the expression for the compound interest is given as

A=P(1+r)^t

substitute

A=212(1+0.1)^6

A=212(1.01)^6

A=212*1.061

A= $224.932

Hence the final amount at the rate of 10% is $224.932

What is the value of x if 2/ 3 - 2 = -4 ?​

Answers

Answer:

x= -3

Step-by-step explanation:

(2x/3)-2=-4

Add 2 to both sides

2x/3=-2

multiply both sides by 3

2x=-6

divide both sides by 2

x= -3

Answer:

x = -3

Step-by-step explanation:

2x/3 - 2 = -4

Add 2 to both sides.

2x/3 = -2

Multiply both sides by 3/2.

x = -2 * 3/2

x = -3

What value of x will make the equation true?

Answers

Answer:

5

Step-by-step explanation:

When a square root of an expression is multiplied by itself, the result is that expression

5=x

The slope of diagonal OA IS__,
and its equation is__

Answers

Answer:

[tex](a)\ m = \frac{4}{3}[/tex] --- slope of OA

[tex](b)\ y = \frac{4}{3}x[/tex] --- the equation

Step-by-step explanation:

Given

The attached graph

Solving (a): Slope of OA

First, we identify two points on OA

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,4)[/tex]

So, the slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{4-0}{3-0}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (b): The equation

This is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Recall that:

[tex](x_1,y_1) = (0,0)[/tex]

[tex]m = \frac{4}{3}[/tex]

So, we have:

[tex]y = \frac{4}{3}(x - 0) + 0[/tex]

[tex]y = \frac{4}{3}(x)[/tex]

[tex]y = \frac{4}{3}x[/tex]

In the diagram, WZ=StartRoot 26 EndRoot.

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).

What is the perimeter of parallelogram WXYZ?

units
units
units
units

Answers

Answer:

[tex]P = 8 + 2\sqrt{26}[/tex]

Step-by-step explanation:

Given

[tex]W = (-2, 4)[/tex]

[tex]X = (2, 4)[/tex]

[tex]Y = (1, -1)[/tex]

[tex]Z = (-3,-1)[/tex]

Required

The perimeter

First, calculate the distance between each point using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]

So, we have:

[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]

[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]

[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]

[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]

So, the perimeter (P) is:

[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]

[tex]P = 8 + 2\sqrt{26}[/tex]

The perimeter of parallelogram WXYZ is 8 + 2√26 units

Perimeter of parallelogram

In order to determine the required perimeter of the parallelogram, we will use the distance formula as shown:

D= √(x2-x1)²+(y2-y1)²

Given the coordinate of the parallelogram shown as:

W(-2, 4)

X (2, 4)

Y(1, -1)

Z(-3, -1).

Since it is a parallelogram, the opposite sides are equal that is:

WX = YZ and XY = WZ
WX = YZ = √(x2-x1)²+(y2-y1)²
WX = YZ = √(2+2)²+(4-4)²

WX = YZ =√(4)²

WX = YZ = 4 units

Similarly

XY = WZ = √(2-1)²+(4+1)²

XY = WZ = √(1)²+(5)²

XY = WZ = √26

Perimeter = 2(4)+ 2(√26)

Perimeter = 8 + 2√26

Hence the perimeter of parallelogram WXYZ is 8 + 2√26 units

Learn more on perimeter of parallelogram here: https://brainly.com/question/11185474

Select the correct answer. What is the range of the function shown on the graph above?
A. -8 B.-2y <-7
C. -7 Sy < -2
D. -9

Answers

It would be c!!!!!! -7 su

Answer: The answer would be D

Step-by-step explanation:


Which statement is true regarding the functions on the
graph?

f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)

Answers

Answer:

f(3) = g(3)

Step-by-step explanation:

on the graph the only point, where both lines cross (both functions create the same functional value) is at x=3.

since both lines have the same y-value there, we express this in math by the "=" sign. and both functions have the same input value (x=3) there.

5.A shipment of 200microwavescontains twentydefective units. In how many ways can a vending company buy fifteenof thesemicrovavesand receivea.No defective units(2pts)b.Exactly two defective units.(2pts)c.At least one defective unit.(2pts)

Answers

Answer:

Step-by-step explanation:

Total no. of goods, n = 200

no. of defective units in the goods, d = 20

hence the no. of proper units,

g = n-d

g = = 200-20

g = 180

a)

ways in which a vending company buys fifteen of these microwaves and receive no defective units be:

[tex]^{180}C_{15}=\frac{180!}{15!\times (180-15)!}[/tex]

[tex]\approx 2.83\times 10^{21}[/tex]

b)

ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:

[tex]^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}[/tex]

[tex]\approx 190\times (2.146\times 10^{19})[/tex]

[tex]\approx 4.076\times 10^{21}[/tex]

c)

ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:

[tex]^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}[/tex]

[tex]\approx 20\times (8.258\times 10^{19})[/tex]

[tex]\approx 1.652\times 10^{21}[/tex]

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)

Answers

Answer:

Area swept by the blade = 448[tex]in^{2}[/tex]

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches  from area of sector with radius as 24 inches.

So, area of sector with r=24 in =[tex]\frac{135}{360} *\pi *24^{2}[/tex]

Simplify it,

                                                  =216[tex]\pi[/tex]

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = [tex]\frac{135}{360} *\pi *14^{2}[/tex]

Simplify it

                                          =73.5[tex]\pi[/tex]

So, area swept by the blade = 216[tex]\pi[/tex] -73.5[tex]\pi[/tex]

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

                               =447.6769

Round to nearest whole number

So, area swept by the blade = 448[tex]in^{2}[/tex]

help me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me

Answers

Volume of the 3d composite figure is,

(7×6×5)+(7×6×5)/3

= 210+70

= 280 cm³

Relationship between the two volumes,

Volume of the rectangular prism is 3 times the volume of the pyramid.

Answered by GAUTHMATH

Answer:

I was gonna anwer it but somone already did.

Step-by-step explanation:

Suppose Z has a normal distribution with a mean of 10.0 and a standard deviation of 5.0 what is the P(2.0

Answers

Answer:

.0548

Step-by-step explanation:

(2-10)/5= -1.6

go to a ztable and get .0548

fill in the missing blinks

Answers

3-4: Definition of supplementary angles
5: Simplify

There are four different colored balls in a bag. There is equal probability of selecting the red, black, green, or blue ball.What is the expected value of getting a green ball out of 20 experiments with replacement?

Answers

Answer:

The expected value is of 5 green balls.

Step-by-step explanation:

For each experiment, there are only two possible outcomes. Either it is a green ball, or it is not. Since there is replacement, the probability of a green ball being taken in an experiment is independent of any other experiments, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

20 experiments

This means that [tex]n = 20[/tex]

There is equal probability of selecting the red, black, green, or blue ball.

This means that 1 in 4 are green, so [tex]p = \frac{1}{4} = 0.25[/tex]

What is the expected value of getting a green ball out of 20 experiments with replacement?

[tex]E(X) = np = 20*0.25 = 5[/tex]

The expected value is of 5 green balls.

The expected value of getting a green ball out of 20 experiments with replacement is 5.

What is a binomial distribution?

The binomial probability distribution of the number of successes in a sequence of n independent experiments is the binomial distribution with parameters n and p.

As it is given that the probability of all the balls coming out of the bag is equal. Therefore, the probability of a green ball coming can be written as,

[tex]\text{Probability of Green Ball} = 0.25[/tex]

Also, we can write the probability of not getting a green ball can also be written as,

[tex]\rm Probability(\text{Not coming Green Ball}) = P(Red\ ball)+P(Black\ ball)+P(Blue\ ball)[/tex]

                                                         [tex]=0.25+0.25+0.25\\\\=0.75[/tex]

Now, as there are only two outcomes possible, therefore, the distribution of the probability is a binomial distribution. And we know that the expected value of a binomial distribution is given as,

[tex]\rm Expected\ Value, E(x) = np[/tex]

where n is the number of trials while p represents the probability.

Now, substituting the values, we will get the expected value,

[tex]\rm Expected\ Value, E(Green\ ball) = 20 \times 0.25 = 5[/tex]

Hence, the expected value of getting a green ball out of 20 experiments with replacement is 5.

Learn more about Binomial Distribution:

https://brainly.com/question/12734585

Help Me ASAP this is the last day of Summer School​

Answers

Answer:

22.2222%

Step-by-step explanation:

total amout of owners all around is 90 and Dal. Owners is 20 so divide 20 by 90.

Step-by-step explanation:

[tex]percentage= \frac{20}{25 + 20 + 15 + 30} \times 100 \\ = \frac{2}{9} \times 100\% \\ = 22.2\%[/tex]

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation 0.25 volt, and the manufacturer wishes to test volts against volts, using units. In your intermediate calculations, use z-scores rounded to two decimal places (e.g. 98.76).
(a) The acceptance region is_____. Find the value of a.
(b) Find the power of the test for detecting a true mean output voltage of 5.1 volts.

Answers

Answer: hello your question was poorly written but i was able to the get missing parts online which enabled me resolve your question

answer:

a) a = 0.1096

b) 1.89 watts

Step-by-step explanation:

Std of output voltage = 0.25 volt

H0 : μ = 5 volts

Ha : μ ≠ 5 volts

n = 16

a) Acceptance region = 4.9 ≤ X ≤ 5.1  

Determine the value of a

value of a = 0.0548 + 0.0548

                 = 0.1096

attached below is the reaming solution

note : a is a type 1 error

b) power of test

True mean output voltage = 5.1 volts

P = - 1.89 watts

power cant be negative hence the power of the test  = 1.89 watts

A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true

Answers

Answer:

Paedtricians claim isn't true.

Step-by-step explanation:

The hypothesis :

H0 : σ = 7

H0 : σ > 7

The test statistic ; χ² :

χ² = [(n - 1) * s²] ÷ σ²

n = 25 ; s = 4.3, σ = 7

χ² = [(25 - 1) * 4.3²] ÷ 7²

χ² = [(24 * 4.3²] ÷ 49

χ² = 443.76 / 49

χ² = 9.056

At α = 0.01 ; critical value = 42.980

Since critical value > test statistic, we fail to reject the null, H0.

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e- and only one correct answer. What is the probability that she answered neither of the problems correctly? Do not round your answer. (If necessary, consult a list of formulas.)​

Answers

Answer:

there is a 64% chance that the student got both problems wrong

a 32% chance that they got only 1 correct

and a 4% chance that they got both correct

Step-by-step explanation:

There are 25 total possible combinations of answers, with 8 possible combinations where the student would get 1 answer right, and 1 combination where the student would get both answers correct.

[tex]25-9=16[/tex]

[tex]\frac{16}{25} =\frac{x}{100}[/tex]

[tex]\frac{64}{100}[/tex]

[tex]64[/tex]%

[tex]\frac{8}{25} =\frac{y}{100}[/tex]

[tex]\frac{32}{100}[/tex]

[tex]32[/tex]%

[tex]\frac{1}{25} =\frac{z}{100}[/tex]

[tex]\frac{4}{100}[/tex]

[tex]4[/tex]%


The total number of students enrolled in MATH 123 this semester
is 5,780. If it increases by 0.28% for the next semester, what will
be the enrollment next semester? Round to a whole person.

Answers

Answer:

5796 people

Step-by-step explanation:

.28 percent of 5780 is 16.184 so added 5,780+16.184=5,796.184 but rounded to a whole person is 5,796!

if cotA=3/4 find sinA and cosA

Answers

Answer:

sin A = 4/5

cos A = 3/5

Step-by-step explanation:

SOHCAHTOA

cot A = 1/tan A

tan A = opp/adj

cot A = 1/tan A = adj/opp

cot A = 3/4

adj = 3; opp = 4

adj^2 + opp^2 = hyp^2

3^2 + 4^2 = hyp^2

9 + 16 = hyp^2

hyp = 5

sin A = opp/hyp

sin A = 4/5

cos A = adj/hyp

cos A = 3/5

Answer:

sin A = 4/5

cos A = 3/5

The length of a rectangle is six times it’s width. If the area of the rectangle is 486 cm^2, find the perimeter.

Answers

Answer:

54 cm is the perimeter I think

find the angle between following linesroot 3x-y=2,x-root 3y=7

Answers

Answer:

where I find? where is the directions

PLEASE HELPPPP WILL GIVE BRAINLIESTTTT

Factor the following expressions completely. Show and check all work on your own paper.
9x2-18x+9

Answers

Hi there!

[tex]\large\boxed{9(x - 1)^{2}}[/tex]

9x² - 18x + 9

We can begin by factoring out a 9 from each term:

9(x² - 2x + 1)

Now, find two terms that add up to -2 and equal 1 when multiplied. We get:

9(x - 1)(x - 1)

Or:

9(x - 1)²

See attached writing an equation for the graph
y=

Answers

Answer:

Step-by-step explanation:

-2*x +2

it is reveresed with a y interecept of 2

If the fixed cost is 9000 per year. Variable costs are estimated to be Tk. 60.75 / item. The firm wants to break even if 80 items are sold per year. What should be the unit price of the item?

Answers

9514 1404 393

Answer:

  Tk 173.25

Step-by-step explanation:

The firm will break even if its cost is equal to its revenue. That is, the price of each item sold must equal the cost of producing it. To cover the fixed cost, a share of it must be added to each of the items sold. Then the break-even price for 80 items is ...

  price = variable cost + share of fixed cost

  price = Tk 60.75 +9000/80 = Tk 60.75 +112.50 = Tk 173.25

find the value of x rounded to the nearest tenth

Answers

9514 1404 393

Answer:

  3.8

Step-by-step explanation:

The angle bisector divides the triangle segments proportionally.

  x/3 = 5/4

  x = 15/4 = 3.75 . . . . multiply by 3

  x ≈ 3.8

Please help me i will give brainlest please i need help

Answers

Answer:

Since you didn't mention which question.

Step-by-step explanation:

13.

[tex]1.\overline{52}\\[/tex] = 1.525252...

Let x = 1.525252...

    10x = 15.2525252....

    100x = 152.525252...

100x - x = 151.00

99x = 151

[tex]x = \frac{151}{99}\\\\or\\\\x = 1 \frac{52}{99}[/tex]

14.

4x + 10 = 8x - 26                        [ corresponding angles are congruent ]

4x - 8x = - 26 - 10

- 4x = - 36

[tex]x = \frac{-36}{-4} \\\\x = 9[/tex]

15.

Given breadth of a rectangle is ( 2/3) its length.

Let the length be x

Therefore, breadth = ( 2 /3) of x

                             [tex]= \frac{2}{3} \times x\\\\=\frac{2}{3}x[/tex]

Given perimeter = 40m

Perimeter of a rectangle = 2( length + breadth)

                                [tex]40 = 2 (x + \frac{2}{3}x )\\\\\frac{40}{2} = \frac{2}{2}(x + \frac{2}{3}x)\\\\20 = x + \frac{2}{3}x\\\\20 = \frac{3x + 2x}{3}\\\\20 \times 3 = 5x \\\\x = \frac{60}{5}\\\\x = 12\\\\Therefore, Length = x = 12 \ m \ and \ breadth = \frac{2}{3}x = \frac{2}{3} \times 12 = 8 \ m[/tex]

16.

Sum of the angles of a triangle = 180°

Given ratio = 2 : 3 : 4

Sum of the ratio = 9

Therefore,

            [tex]first \ angle = \frac{2}{9} \times 180 = 2 \times 20 = 40 ^\circ\\\\Second \ angle = \frac{3}{9} \times 180 = 3 \times 20 = 60^\circ\\\\Third angle = \frac{4}{9} \times 180 = 4 \times 20 = 80^\circ[/tex]

17.

Sum of interior angles of a polygon with n sides = ( n - 2) x 180°

Given polygon is pentagon, that is n = 5

Therefore, sum of the interior angles = ( 5 - 2) x 180 = 3 x 180 = 540°

That is ,

          x + 125 + 125 + 88 + 60 = 540°

          x + 398 = 540°

          x = 540 - 398

          x = 142°

Answer:

Please can you say which question?

Thank you

What is the Value of the expression 1/4(c cubed + d squared) when c = -4 and d = 10

Answers

Answer: 9

Step-by-step explanation:

[tex]\frac{1}{4} (c^{3}+d^{2})[/tex]

c = -4d = 10

Substitute in the values into the expression:

[tex]\frac{1}{4} ((-4)^{3}+10^{2})\\\\=\frac{1}{4}(-64+100)\\\\=\frac{1}{4}(36)\\\\=\frac{36}{4} =9[/tex]

A square has an area of 25 yd^2. What is the length of each side?

Answers

Answer:

5 yd

Step-by-step explanation:

Formula to find area of a square is a² where each side is a,

So, a²=25

or, a=√25

or, a=±5

since a side can't be negative, so a = 5 yd

Answered by GAUTHMATH

ora started watching a movie at 2:45 p.m. She watched the movie for hours before stopping the movie for hours to eat dinner. After dinner, Nora finished watching the remaining hours of the movie. At what time did the movie end?

Answers

Answer: Movies Average around 1 hour to 2 hours long. 1:30 to 2:30 so id say somewhere around 4-5 pm. Which leaves time for dinner after

Step-by-step explanation:

What is the solution to
this system of linear
equations?
3
2
1
-4-3-2-1,0 1 2 3 4
Aώ Ν.
A
(1, -3)
B
(-3, 1)

Answers

A(1,-3)
Solution because that the coordinate they meet at and you read it from the x axis to the y axis
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A 100-m long transmission cable is suspended between two towers. If the mass density is 18.2 g/cm and the tension in the cable is 6543 N, what is the speed (m/s2) of transverse waves on the cable two identical eggs are dropped from the same height. The first eggs lands on a dish and breaks, while the second lands on a pillow and does not break. Which quantities are the same in both situations Which segment is opposite toE? What differences does distillation rely on to separate out parts of a solution?O A. Different densitiesO B. Different molecular massesC. Different boiling pointsO D. Different molecular sizes Suppose that each of the only two firms in an industry has the independent choice of advertising its product or not advertising. If neither advertises, each gets $10 million in profit; if both advertise, their profits will be $5 million each; and if one advertises while the other does not, the advertiser gets profit of $15 million and the other gets profit of $2 million. According to game theory, the Nash equilibrium is: Group of answer choices neither will advertise. both will advertise. one will advertise and the other will not. both may or may not advertise. Using the formula for the area of a triangle, , write an expression for the area of ABC. Base your answer on the work you did in parts G through I. Show your work. If no braking occurs, a total of how much power would be required to keep the railcar moving at 40 m/s Which of the following statements helps support the endosymbiotic theory?Choose 1 answer:AAll cells contain ribosomes that conduct protein synthesis.BCells contain genetic information in the form of DNA.If isolated from a eukaryotic cell, mitochondria can no longer survive and reproduce on theirown.If isolated from a plant cell, a chloroplast can survive and reproduce on its own. Solve using the elimination method. 2x + 7y = 36 6x - 7y = - 60 A community group is upset because drivers speed through their neighborhood. they want the local government to to install a stop sign or a speed bump to make drivers slow down. Which option might be the best way for them to accomplish this? One side of a rectangle is 2 yd longer than two times another side. The area of the rectangle is 84 yd2. Find the length of the shorter side. Francisco buys five million sheets of paper from a vendor for his printing firm. He is satisfied with the product, and he orders the same quantity from the same vendor every week. This is most likely an example of a(n) ______. Batter boards (if properly offset) will allow for the end user to continually re-string the layout to double check accuracy without having to continually set up an instrument True False Not sure how to answer this:A. Identify the side that is acidicB. Explain why it's acidic C. Identify the side that is basicD. Explain why this side is basic (b) Two fair dice are tossed, and the up face on each die is recorded. Find the probability ofobserving each of the following events:A: (A 4 does not appear on either die)B: The difference of the numbers is 2 or less)(The sum of the numbers is odd)P(A) =(07 Marks)(P(B)(07 Marks)G)(07 Marks)sesP(C) If your doing a research project about war would you determine whether sources of information such as web sites biographies movies, and documentanes- are actually reliable sources ? Who was William Jennings Bryan?a) the leader of the Farmers Allianceb) the founder of the granger movementc) the Populist presidential candidate in 1896d) the Republican presidential candidate in 1896 3. If there were multiple products comment on finding the mixture melting point of the products. Does your sample appear to be a mixture or pure Suppose the market price of corn is $5.50 per bushel. Which of the following is not one of the three conditions that will need to be satisfied for the corn market to be in equilibrium at this price? A. Both the buyers and sellers of corn could benefit by making small changes to their market behaviors. B. The cost to corn farmers of growing the corn must be less than $5.50 per bushel. C. The quantity of corn produced by corn farmers will equal the quantity purchased by buyers. D. The buyers of corn will only use it for activities that they feel are worth at least $5.50 per bushel. If the profits in your consulting business increase by 8% one year and decrease by 2% the following year, your profits are up by 6% over two years.