draw the graph of functions y=x^2(x-2)​

Answers

Answer 1

Answer: x-intercept(s): (2,0),(−1,0)(2,0),(-1,0)

x-intercept(s): (2,0),(−1,0)(2,0),(-1,0)y-intercept(s): (0,−2)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x.

0=x2−x−2

Solve the equation.

Rewrite the equation as x2−x−2

Factor x2−x−2 using the AC method.

(x−2)(x+1)=0

Set x−2 equal to 0 and solve for x.

x=2

Set x+1x+1 equal to 00 and solve for xx.

x=−1

The solution is the result of x−2=0x-2=0 and x+1=0

x=2,−1


Related Questions

The midpoint i need help

Answers

Answer:

angle WXU=56 degrees

Step-by-step explanation:

WX || TV so angle WXU is congruent to angle TVU

68-3x=84-7x

simplify by adding 7x to each side

68+4x=84

simply further by subtracting 68 from each side

4x=16

divide both sides by 4

x=4

angle WXU=68-3x

substitute for x

angle WXU=68-3(4)=68-12=56 degrees

Which of the following is not a real number?
А. 1
B. -4
C. 16
D. 13

Answers

B is not a real number.

Real number are numbers that are rational (1, 2, 3, -7, -10 etc) and irriational (pi, 9.7582, 1/7, etc), and can be virtually any number, aside from imaginary numbers. Square roots consist of the same number squared, for example the square root of 9, is 3 or the square root of 10 is 3.162... Both of which are real numbers.

A.) The square root of 1, is 1. 1 is a real number.

B.) The square root of -4 is imaginary. There is no real number that can be squared to get -4.

C.) The square root of 16 is 4. 4 is a real number.

D.) The square root of 13 is 3.605... 3.605... is a real number.

Thus meaning your answer is B.

I hope this helps!


In this diagram, two perpendicular lines and two rays intersect at point T. What is the measure, in degrees, of angle QTR?

A. 24
B. 28
C. 32
D. 48

Answers

Answer:

QTR = 24

Step-by-step explanation:

QTR=32

Since lines are perpendicular the total sum is 90 for all three angles

90=42+2x+x
48=2x+x
48=3x
16=x

QTR=2x=2(16)=32

Find the solution of the system of equations.
10x – 2y = 44
-2x - 9y = 10

Answers

Answer:

Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs

Answer:

10x=44+2y

x=44+2y/10.....eq(i)

-9y=10+ 2x

-Y=10+2X/9....eq(ii)

Then solve by eq(i) and eq(ii)

I NEED THE HELP ASAP 7TH GRADE PLS

Answers

Answer:

D

Step-by-step explanation:

4 cm What is the volume of this prism? 6 cm 10 cm​

Answers

Answer:

240 cm³

Step-by-step explanation:

Volume = lwh

10cm • 6cm • 4cm

10cm • 24 cm²

240 cm³

A research group is interested in gauging perceptions about airline food quality among first class passengers. ​Specifically, they wish to determine the percentage of business travelers In the United States that believe airline food quality has not improved. They listed the members of the airline's frequent flyer club in alphabetical order and took every tenth member until they succeeded in contacting 170 members. What kind of sampling method have they​used?

a. MULTISTAGE SAMPLING

b. CLUSTER SAMPLING

c. STRATIFIED RANDOM SAMPLING

d. SYSTEMATIC SAMPLING

Answers

Answer:

d. SYSTEMATIC SAMPLING

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Took every 10th member, that is, every kth member, which is systematic.

The correct answer is given by option d.

(4xy+6y-4x)-5xy-4x+3y STEP explanation pls​

Answers

Answer:

this is the solution

please follow me and mark it brainliest

Carol had a $20 bill.
She knew her
groceries were going to
cost $16.75. She also
wanted a soda for $2.20.
How much money will she
have left after her trip to
the store?

Answers

Answer:

$16.75 + $2.20 = $18.95

$20 - $18.95 = $1.05

Step-by-step explanation:

Brainliest please

Noah is painting boxes that are all the same size. He used 2 ounces of paint to cover 1 2/3 boxes. How many ounces of paint are needed to cover 1 box? Draw a diagram to represent the situation, then find the answer.

Answers

Answer:

2:1 2/3

?oz:1/3.   How many oz does it take to cover 1/3 of the box?

0.4:1/3.   0.4oz is needed to cover 1/3 of the box.

1/3*3=1.    0.4*3=1.2  *= multiplication

I believe the answer Is: 1.2oz is needed to cover 1 box. The information here should help you the diagram.

Noah needs 1.2 ounces of paint to cover 1 box.

Given that Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:

1.666 = 2 1 = X 2 / 1,666 = X 1.2 = X

Therefore, Noah needs 1.2 ounces of paint to cover 1 box.

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You are given an isosceles trapezoid ABCD with median XY. Complete the following.


AX = 8, CD = __________

I'll mark brainliest

Answers

Answer:

CD=16

Step-by-step explanation:

If XY is median then CD equals 16

Length of CD = 16 .

What is Isosceles trapezoid?

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

Given,

Isosceles trapezoid ABCD with median XY.

Median cuts the non-parallel lines of trapezoid in two equal parts.

then,

AX = 8

AB = 2 × AX

AB = 2 × 8

AB = 16

ABCD is isosceles trapezoid

So, Unparallel lines are equal,

AB = CD

⇒ CD = 16 unit.

Hence, 16 unit is length of CD.

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Which of these tables represents a proportional relationship between x and y choose 2 plz help ASAP

Answers

Answer:

b and c

Step-by-step explanation:

.

Translate the sentence into an equation. Five more than the quotient of a number and 6 is equal to 2. Use the variable w for the unknown number.​

Answers

Answer:

The equation that represents the sentence is W + 6 + 5 = 2.

Step-by-step explanation:

Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:

W + 6 + 5 = 2

W = 2 - 5 - 6

W = -9

Therefore, the unknown number is -9.

What is the total surface area of the square pyramid in square inches?
Height is 11 in. Base is 7 in. Side Length is 11.5

PLEASE DO THIS QUICKLY

Answers

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

What is a Square Pyramid?

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

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Select all the options that represent different forms of the number 500,368? A. Five hundred, three thousand, and sixty-eight B. Five hundred thousand, three hundred sixty-eight. C. 5,000 + 300 + 60 + 8 D. 5 hundred thousands + 3 hundreds + 6 tens + 8 ones E. 500,000 + 300 + 60 + 8

Answers

Answer:

B, D, and E

Step-by-step explanation:

B. Five hundred thousand = 500,000/ three hundred = 300/ sixty-eight = 68.

D. 5 hundred thousands = 500,000/ 3 hundreds = 300/ 6 tens = 60/ 8 ones = 8.

E. 500,000 + 300 + 60 + 8 = 500,368.

A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.​

Answers

If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.

We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.

Therefore the box has length and breadth as 4 ft each and a height of 2 ft.

Please let me know the explanation of the the answer u will tell for this Question..

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Area of square = (length)²

[tex] = \sf {(3{\dfrac{1}{2}})^2} \\\\\ = \sf {12.25~cm^2} [/tex]

OR

[tex] \sf{12{\dfrac{1}{4}}} [/tex]

For the
expression y + 6-3 determine the coefficient for the variable term.
(2 points)

Answers

Answer:

The answer is 1.

Step-by-step explanation:

The number is usually in front of the variable, if there is no number, it is a 1.

The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Answers

Answer:

4.8 inches

Step-by-step explanation:

See comment for complete question

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

[tex]H_1 =6\ in[/tex] -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

[tex]Original * Scale\ Factor = New[/tex]

In this case:

[tex]H_1 * Scale\ Factor = H_2[/tex]

Substitute 6 for H1 and 0.8 for Scale Factor

[tex]6* 0.8 = H_2[/tex]

[tex]4.8= H_2[/tex]

Hence, the height of the smaller triangle is 4.8 inches

Please tell me the answer​s

Answers

Answer:

Q1) a

Q2) d

Q3)a

Q4)c

Q5) cant see options

if you get the right answer 5 starr review

Answers

Answer:

C

Step-by-step explanation:



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

m = -4/5

b = 7

Negative Slope

Not Proportional

Step-by-step explanation:

Help me out with one as well too please

Answers

Answer:

107° is answer

x+73=180(cointerior angle)

x=180-73=107°

The present age of Andy and Mike are in the ratio 5:3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy would have been 3 times the age of Mike. Find their present age​

Answers

Answer: Andy is 35 and Mike is 21.

Step-by-step explanation:

Andy’s present age: Mike’s present age

= 5:3

Andy’s age in “if”: Mike’s age in “if”

=6:2

1 unit = 7

5 unit = 35 (Andy’s age)

3 unit = 21 (Mike’s age)


A factory makes rods by cutting plastic pipes that are 5 feet long into 8 rods.

How long is each rod?

Answers

Ok let’s start off with- how long is 5 feet? That would be 12x5 which is 60. 60/8 which is 7.5!!!

Feet is the unit of measurement. One feet of measurement is equal to the 12 inches.The length of the each rod made by the 5 feet long pipe is 7.5 inches.

Given-

The length of the pipes is 5 feet.

Total number of roads made by the pipes is 8.

We need to convert the length of the feet into the inches.

How many inches are there in one feet?

Feet is the unit of measurement. One feet of measurement is equal to the 12 inches.

As it is known that the one feet has the twelve inches. Thus the number of inches in 5 feet is,

[tex]=5\times12[/tex]

[tex]=60[/tex]

Thus the length of the pipe is 60 inches.

Now the total number of roads made by this pipe is 8. Suppose the length of the each rod is [tex]x[/tex] inch. Thus,

[tex]x=\dfrac{60}{8}[/tex]

[tex]x=7.5[/tex]

Thus the length of the each rod made by the 5 feet long pipe is 7.5 inches.

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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach the 75th percentile? Select the closest answer

Answers

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that [tex]\mu = 130, \sigma = 30[/tex]

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 130}{30}[/tex]

[tex]X - 130 = 0.675*30[/tex]

[tex]X = 150.25[/tex]

A score of 150.25 is necessary to reach the 75th percentile.

You earn $42 for washing 7 cars. How much do you earn for washing one car? How much do you earn for washing 3 cars? How much do you earn for washing 5 cars?

Answers

Answer:

1 car = $6 ; 3 car = $18 ; 5car = $30

Step-by-step explanation:

$ 42 = 7 cars

so 1 car = $42÷7 = $6

so 3 cars = 3 × $6 = $18

so 5 cars = 5 × $6 = $30

Hope this helps you.

Find the perimeter and area of the polygon shown below.
8ft
15 ft
17ft
16 ft

Answers

The Perimeter is 87 ft and the Area is 360 ft. :3

The perimeter and area of the polygon are 72 feet and 300 feet.

What is a polygon?

"A polygon is a plane shape with straight sides. Polygons are 2 - dimensional shapes. They are made of straight lines, and the shape is closed."

From the given polygon

Perimeter of the polygon = Sum of all sides of the polygon

P = 15 + 16 + 8 + 17 + 16

P = 72 feet

Area of the polygon

A = [tex](\frac{16+16+8}{2}[/tex] × [tex]15)[/tex]

A = 20 × 15

A = 300 feet

Hence, the perimeter and area of the polygon are 72 feet and 300 feet.

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Nathan built a triangular garden in his backyard, as shown.
How much of the backyard is not covered by the garden?

A.141 square feet
B.78 square feet
C.120 square feet
D.99 square feet

Answers

Answer:

Step-by-step explanation:

Subtract the area of the triangle from the rectangular area. AT=bh/2 and AR=LW so

A=12(10)-7(6)/2

A=120-21

A=99 ft^2

The volume of a cylinder is 225π cm³ and its height is 9 cm.

What is the length of the cylinder's radius?

Enter your answer in the box.

cm

Answers

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

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