At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Answers

Answer 1

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.


Related Questions

please answer all 3 percentages questions below

Answers

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

11 pens weigh 53.43 grams how many grams will 2 pens weigh

Answers

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?

Answers

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

For the following geometric sequence find the explicit formula: {-1, 3, -9,...}

Answers

multiplies by -3 every time

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Calculate the surface area of a solid box in the shape of a cube with side length 10cm

Answers

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

14 less than 'n' is no less than -112 (Enter your answer using interval notation)

Answers

Answer:

bruh

14 less than n is not less than -112

this is ambiguous.

do you mean 14<n≥-112 or n-14≥-112

please answer very quickly

Answers

Answer:

ABD

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder, in
cubic units?
2x
47x2
2x
x2 + 2x
O2 + x
Save and Exit
Next
Submit
Mark this and return

Answers

Step-by-step explanation:

The volume of a cylinder is given by :

[tex]V=\pi r^2 h[/tex]

r is the radius of the base of a cylinder

h is height of cylinder

The height of a cylinder is twice the radius of its base. It means that h = 2r

So, volume of cylinder becomes :

[tex]V=\pi r^2(2r)\\\\V=2\pi r^3[/tex]

So, the volume of the cylinder is given by the expression [tex]2\pi r^3[/tex].

find the sum 12x^2+3x+6

Answers

Answer:

[tex]3(8x ^{2} + x + 2)[/tex]

factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots

Answer:

This cannot be simplified any further.

Step-by-step explanation:

Which value in scientific notation is about 9,802,733?
A. 9 x 105
B.
9 x 106
C.
9 x 107
D.
9 x 108​

Answers

Answer:

B

Step-by-step explanation:

One million has 6 zeros.

9 x 10^5 = 900, 000

9 × 10^6 = 9, 000, 000

9 x 10^7 = 90, 000, 000

9 x 10^8 = 900, 000, 000

The correct answer is 9 × 10^6

Answer:

Option B

Step-by-step explanation:

=> 9,802,733

The decimal point will come after the first non zero digits and since six digits come after it , So the exponent/power/indices will be 6

So, it becomes:

=> [tex]9 * 10^6[/tex]

Graph the equation.
y = 1/3 (x + 3)(x – 3)

Answers

Answer:

Step-by-step explanation:

screen shot attached

I did the work and I screenshot it

Help meeeeeeeeeeeeeee!!!!!!​

Answers

Answer:

2x+3=9

2x=6

x=3

3w-1=14

3w=15

w=5

7y+2=30

7y=28

y=4

5x+20=35

5x=15

x=3

6c-12=48

6c=60

c=10

8m-4=20

8m=24

m=3

7w+13=90

7w=77

w=11

12p-18=30

12p=48

p=4

9w-5=67

9w=72

w=8

10a+40=100

10a=60

a=6

9x-24=84

9x=108

x=12

7w+1=1

7w=0

w=0

your welcome

Answer:

The answers will be listed below:

A.  [tex]x=3[/tex]

B.  [tex]w=5[/tex]

C.  [tex]y=4[/tex]

D.  [tex]x=3[/tex]

E. [tex]c=10[/tex]

F. [tex]m=3[/tex]

G.[tex]w=11[/tex]

H. [tex]p=4[/tex]

I.  [tex]w=8[/tex]

J. [tex]a=6[/tex]

K. [tex]x=12[/tex]

L.[tex]w=0[/tex]

I would show how to do it but it will take to long.

Here's for the last one

Hope this helps.



11. The formula for finding a number that's the square root of the sum of another number n and 6 is



A. x = √n + 6.

B. x = √n + 6.

C. x = √n + √6.

D. x = √n6.

Answers

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).


A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the rectangle?

Answers

Answer:

The width is 5/2 = 2.5 cm

The length is 9/2 = 4.5cm

Step-by-step explanation:

The length is 2 longer than the width

l = w+2

The perimeter is 14

P =2 ( l+w)

14 = 2 (l+w)

Replace l with w+2

14 = 2 ( w+2+w)

14 =2 (2w+2)

Divide each side by 2

14/2 = 2/2(2w+2)

7 = 2w+2

Subtract 2

7-2 = 2w+2-2

5 = 2w

Divide by 2

5/2 = w

The length is w+2

5/2+2

5/2+4/2 = 9/2

The width is 5/2 = 2.5

The length is 9/2 = 4.5

Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?

Answers

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

Answer:

12/50

Step-by-step explanation:

What is a regular Polygon? Name all the types of polygon.(HELP ASAP)

Answers

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

How many cubes are needed to build this figure?

Answers

Answer:

6

Step-by-step explanation:

the box has 2 x 3 x 1

so if we use cube 1 x 1 x 1

we need 6 cubes

Answer:6

Step-by-step explanation:

I counted the top

What is the length of BC in the right below?

Answers

Answer:

B. 17

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We have a and b, so:

8² + 15² = c²

c = √(8² + 15²)

c = 17

And we have our final answer!

Answer:

To find the length of BC we use Pythagoras theorem.

BC² = AB² + AC²

AB = 8 AC = 15

BC² = 8² + 15²

BC = √64 + 225

BC = √ 289

BC = 17

BC is 17

Hope this helps.

In the figure below, AB: BC is 3 : 1 and AC = 48. The length of AB is:

Can someone help me with this i included a picture

Answers

Answer:

36

Step-by-step explanation:

Here, we shall be splitting the total length using the ratio given.

The total ratio is 3 + 1 = 4

Since AB is the bigger length, the ratio 3 belongs to it.

Thus; 3/4 * 48 is the length of AB

= 3/4 * 48 = 3 * 12 = 36

V=1/3Πr^2(2r+h)
PLEASE HELP!!!!!!!
Make h the subject of the formula
Need help ASAP...
PLEASE​

Answers

Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

These are the times for 200 people to get to work. A 10% sample, stratified by time, is taken. Complete the table.

Answers

Answer:

look at the atachment below! :)

Step-by-step explanation:

The entries that complete the table are 1, 2, 8, 6 and 3

How to complete the table?

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10% ≈ 1

22 => 22 * 10% ≈ 2

77 => 77 * 10% ≈ 8

63 => 63 * 10% ≈ 6

31 => 31 * 10% ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3

Read more about sampling at:

https://brainly.com/question/15713806

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .

Answers

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]

Step-by-step explanation:

a) This is a very trivial exercise.

[tex]x(t) = -4t^2 + 20t + 60[/tex]

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) [tex]x(t) = -4t^2 + 20t + 60[/tex]

R(x(t)) = 2(x(t))

[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]

Josie is a travel agent who loves to analyze data about the vacation destinations she books for her clients. She believes that the
more she knows about a destination, the better she can educate and prepare her clients to get the most enjoyment out of
their trips. She's recently been investigating the climate of Paradise Island, where one of her biggest clients, Jack, is planning to
visit. Her research of the temperature history of Paradise Island is vital to Jack's travel plans, as he has an ideal temperature
that he prefers for vacationing. In this task, you'll use technology and regression techniques to help Josie plan Jack's ideal
vacation to Paradise Island.
Part A
Josie has collected data that shows the average daily high temperature for several months over the last year. In her table
of data, month 1 can be interpreted as January, month 2 as February, and so on.
Month, x
Average Daily High Temperature, y
(°F)
50
56
1
2
3
67
5
84
6
89
7
98
92
84
9
10
12
58
button to insert a screenshot of your scatter plot in the

Answers

Answer:

The scatter plot for the data is attached below.

Step-by-step explanation:

The data collected by Joise for the average daily high temperature for several months over the last year is as follows:

Month              X      Average Daily High Temperature, Y (°F)

January            1                                   50

February          2                                  56

March               3                                  67

May                  5                                  84

June                 6                                  89

July                   7                                  98

September       9                                  92

October           10                                  84

December       12                                  58

The scatter plot for the data is attached below.

Which graph shows a system of equations with no solutions? On a coordinate plane, the graphs of 2 circles are shown. Both circles have a center at (0, 0). The smaller circle is within the larger circle and the smaller circle has a radius that is 2 units smaller than the larger circle. On a coordinate plane, a graph of a line and a parabola are shown. The line is horizontal to the x-axis at y = negative 5. The parabola opens up and its vertex on the line. On a coordinate plane, the graphs of 2 circles are shown. Both circles are in quadrant 1, and they intersect each other. On a coordinate plane, the graphs of 2 parabolas are shown. Both parabolas open up and they intersect each other at (0, 0). The first parabola has a vertex in quadrant 3 and the second parabola has a vertex in quadrant 4.

Answers

Answer:

Graph A

Step-by-step explanation:

The two circles are not touching so they don't have a solution. I also got it right on Edge2020

Can I please get help with this?

Answers

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

4. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?

Answers

Answer:

75 degrees Celsius

Step-by-step explanation:

-114 - -39 = -75

Need help ASAP, thanks

Answers

Answer:

1364

Step-by-step explanation:

use the calculator

so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate

Answers

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters

Answers

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20

Answers

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

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