Work out (5 x 109)
109) x (9 x 10)
Give your answer in standard form.

Answer:

1 pound

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Possible rational zeros are of the form ...

  ±{divisor of the constant term}/{divisor of the leading coefficient}

__

1. Rational zeros will be one of ±{1, 2, 3, 6, 9, 18}/{1, 2}, so will be ...

  {±1/2, ±1, ±3/2, ±2, ±3, ±9/2, ±6, ±9, ±18}

__

2. Rational zeros will be one of {±1, ±2, ±3, ±4, ±6, ±8, ±12 ±24}.

__

3. The pairs of coefficients suggest factoring by pairs:

  f(x) = (2x^3 +2x^2) -(8x +8) = 2x^2(x +1) -8(x +1) = 2(x^2 -4)(x +1)

  f(x) = 2(x -2)(x +2)(x +1)

Zeros of f(x) are 2, -2, -1, values of x that make the factors zero.

__

4. The sum of coefficients is zero, so x=1 is a zero. Factoring that out by any of several means, you find ...

  f(x) = (x -1)(x^2 +2x -8)

The quadratic is factored by looking for factors of -8 that have a sum of 2. (4 and -2 are those)

  f(x) = (x -1)(x +4)(x -2)

Zeros of f(x) are 1, -4, 2.

_____

The attached graph confirms our factoring of the polynomials of questions 3 and 4. For cubic and higher degree, I find a graphing calculator to be quite helpful finding zeros.

Answer:

f(x)= 2x^3 + 2x^2 - 8x -8

4. f(x)= x^3 + x^2 - 10x + 8

Answer:

14

Step-by-step explanation:

it just is

Answer:

14

Step-by-step explanation:

median: middle number

1, 2, 7, 13, 14, 17, 18, 18, 20

14

Answer:

(A) 1.00000000

(B) 0.83333333

(C) 0.66666667

(D) 0.50000000

Step-by-step explanation:

RULE OF THE GAME:

If 6 spots are marked, a player wins if 4 or more of their spots are among the 6.

QUESTION:

Find the probabilities of having the following numbers of winning spots out of 6.

(A) 6 winning spots

6/6 = 1   In 8 decimal places, 1.00000000

(B) 5 winning spots

5/6 = 0.83333333

(C) 4 winning spots

4/6 = 0.66666667

(D) 3 winning spots

3/6 = 1/2 = 0.50000000

The outcome probability will be:

(a) 1.00000000

(b) 0.83333333

(c) 0.66666667

(d) 0.50000000

According to the question,

Total spots = 6

Selected spots = 4 or more

(a) Here are 6 winning spots, then

= [tex]\frac{6}{6}[/tex]

= 1 or,

1.00000000

(b) Here are 5 winning spots, then

= [tex]\frac{5}{6}[/tex] or,

= 0.83333333

(c) Here are 4 winning spots, then

= [tex]\frac{4}{6}[/tex] or,

= 0.66666667

(d) Here are 3 winning spots, then

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex] or,

= 0.50000000

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/25870256

Answer:

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Answer:

A .x+y=150 y=x+80

B. x=35 y=115

x + (x + 80) = 150

2x + 80 = 150

2x = 70

x =35 practicing the guitar

then put x back in to solve for y

C. no because that is a whole 10 minutes more so it would be for 160 minutes of practice instead.

Step-by-step explanation:

this is my first time answering a question so hope it helps :)

A pair of linear equations to show the relationship between the number of minutes ;

x=Max practices the guitar

y= the number of minutes he practices the piano

x+y=150

y=x+80

The time does Max spend practicing the piano every day:

Subsitute x back in to solve for y.

x+y=150  

35+y=150

y=115

No , it is not possible because that is a whole 10 minutes more so it would be for 160 minutes of practice instead.

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https://brainly.com/question/16390039?referrer=searchResults

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]

Step-by-step explanation:

Given the system of linear equations

[tex]7x-y=51[/tex]

[tex]x+3y=23[/tex]

solving by the elimination method

[tex]\begin{bmatrix}7x-y=51\\ x+3y=23\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x+3y=23\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x+21y=161[/tex]

[tex]\begin{bmatrix}7x-y=51\\ 7x+21y=161\end{bmatrix}[/tex]

[tex]7x+21y=161[/tex]

[tex]-[/tex]

[tex]\underline{7x-y=51}[/tex]

[tex]22y=110[/tex]

so

[tex]\begin{bmatrix}7x-y=51\\ 22y=110\end{bmatrix}[/tex]

now solving for y

[tex]22y=110[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}22[/tex]

[tex]\frac{22y}{22}=\frac{110}{22}[/tex]

[tex]y=5[/tex]

[tex]\mathrm{For\:}7x-y=51\mathrm{\:plug\:in\:}y=5[/tex]

[tex]7x-y=51[/tex]

[tex]7x-5=5[/tex]

[tex]7x=56[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}7[/tex]

[tex]\frac{7x}{7}=\frac{56}{7}[/tex]

[tex]x=8[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]

Answer:

3.024 is greater.

Step-by-step explanation:

3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.

Answer: 25 m/s

ignore ignore

Answer:

Step-by-step explanation:

1. A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?

2. The average height of a female giraffe is 4.6 meters. What is her height in centimeters?

3. The capacity of a beaker is 0.1 liter. Convert this to milliliters.

4. A pig weighs 9.8 pounds. Convert the pig’s weight to ounces.

5. A marker is 0.13 meters long. What is the length in millimeters?

Answer: 20%

Step-by-step explanation:

(part / whole) * 100

(3 / 15) * 100 = 20%

The skirts have been reduced to 20% of their original price.

You are looking for the percentage of the original price that the new price is. This means that you are looking for what percentage of $15 that $3 is:

= New price / Original price x 100%

= 3 / 15 x 100%

= 1/5 x 100%

= 20%

The skirts have therefore been reduced to 20% of their original price.

Find out more at https://brainly.com/question/2984072.

Answer:

x=y-9....1

5x-6y=-1.....2

putting the value of x in eqn 2

5y-45-6y=-1

-y=44

y=44

Answer:

4.397 * 10⁹

Step-by-step explanation:

(3.700 * 10⁹) + (6.970 * 10⁸)  = (3.700 * 10 * 10⁸ ) + (6.970 * 10⁸)

                                             = (37.00 * 10⁸) + (6.970 * 10⁸)

                                             = (37.00 + 6.970) * 10⁸

                                             = 43.97 * 10⁸

                                             = 4.397 * 10 * 10⁸

                                              = 4.397 * 10⁽¹⁺⁸⁾

                                              = 4.397 * 10⁹

Answer:

The answer is A

Step-by-step explanation:

Answer

two is the answer

Answer:

Options (2) and (4)

Step-by-step explanation:

Option (1)

The slope of the graph is 60.

From the graph attached,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

         = [tex]\frac{-210}{3.5}[/tex]

         = - 60

False.

Option (2)

y-intercept gives the initial distance, in miles from Exit 34.

True.

Option (3)

y-intercept of the graph is 3.5

Since, y-intercept of the graph is 210.

Therefore, Option (3) is False.

Option (4)

Slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.

True.

Answer:

Y

=

3

cos

(

2

x

-

1

)

Use the form

to

cos

(

b

x

-

c

)

+

d

to find the variables used to find the amplitude, period, phase shift, and vertical shift.

to

=

3

b

=

2

c

=

1

d

=

0

Find the amplitude

|

to

|

.

Amplitude:

3

Find the period using the formula

2

π

|

b

|

.

Tap for more steps ...

Period:

π

Find the phase shift using the formula

c

b

.

Tap for more steps ...

Phase shift:

1

2

Find the vertical displacement

d

.

Vertical displacement:

0

List the properties of trigonometric functions.

Amplitude:

3

Period:

π

Phase shift:

1

2

(

1

2

on the right)

Vertical displacement:

0

Select some points on the graph.

Tap for more steps ...

x

F

(

x

)

1

2

3

π

4

+

1

2

0

π

2

+

1

2

-

3

3

π

4

+

1

2

0

π

+

1

2

3

The trigonometric function can be drawn using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude:

3

Period:

π

Phase shift:

1

2

(

1

2

on the right)

Vertical displacement:

0

x

F

(

x

)

1

2

3

π

4

+

1

2

0

π

2

+

1

2

-

3

3

π

4

+

1

2

0

π

+

1

2

3Y

=

3

cos

(

2

x

-

1

)

Use the form

to

cos

(

b

x

-

c

)

+

d

to find the variables used to find the amplitude, period, phase shift, and vertical shift.

to

=

3

b

=

2

c

=

1

d

=

0

Find the amplitude

|

to

|

.

Amplitude:

3

Find the period using the formula

2

π

|

b

|

.

Tap for more steps ...

Period:

π

Find the phase shift using the formula

c

b

.

Tap for more steps ...

Phase shift:

1

2

Find the vertical displacement

d

.

Vertical displacement:

0

List the properties of trigonometric functions.

Amplitude:

3

Period:

π

Phase shift:

1

2

(

1

2

on the right)

Vertical displacement:

0

Select some points on the graph.

Tap for more steps ...

x

F

(

x

)

1

2

3

π

4

+

1

2

0

π

2

+

1

2

-

3

3

π

4

+

1

2

0

π

+

1

2

3

The trigonometric function can be drawn using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude:

3

Period:

π

Phase shift:

1

2

(

1

2

on the right)

Vertical displacement:

0

x

F

(

x

)

1

2

3

π

4

+

1

2

0

π

2

+

1

+

1

2

0

π

+

1

2

3

Answer: A The mean would increase

Step-by-step explanation:

If the smallest numebr dropped, then the numebr would get increased, since there is no more smallest, and the new smallest is $9.25.

Answer:

I.  B. P = – + 40x

II.  1.3

hope this helps! :o)

Step-by-step explanation:

Answer:

1.3 mil

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

The plot of a function f(x) is symmetric across the y-axis if it is even, meaning f(-x) = f(x) for all x in the function's domain.

The answer is then A because

(-x)² = (-1)² x² = x²

|-x| = |-1| |x| = |x|

cos(-x) = cos(x)

The answer is not

• B because sin(-x) = -sin(x) and (-x)³ = (-1)³ x³ = -x³

• C because -x ≠ x and again because of x³

• D because 1/(-x) = -1/x and again because of sin(x)

Answer:

(2,4) is the correct answer

Step-by-step explanation:

In order to solve two inequalities, we have to graph the two inequalities on the graph. We have used the online graphing calculator "Desmos' for this purpose.

When two inequalities are graphed, the area that is common in both inequalities is the solution of the system.

We have to observe the graph to check if given points are in solution set of the system.

In the given points, (2,4) lie in the solution set as indicated in the picture.

Hence,

(2,4) is the correct answer

Answer:

he can make 1 and  1/2 cups

Step-by-step explanation:

Answer:

2 I think I hope it is right?

I'll do these in order

1.

A. -2

B. -4

C. y=-2x-4

2.

A. +6

B. 0

C.y=6x

Answer:

3 feet 11 inches

Step-by-step explanation:

Answer:

ok is that supposed to be on top of the number because if so it is 8'10-4'11=

Step-by-step explanation:

1069547520 but I am not sure if that could be the slightest bit correct you could try it thought :D

Answer:

The value of the new volume 'x' would be equal to 40.5 cm³.

Step-by-step explanation:

Given

We can determine the volume of the original prism by multiplying the area of the base by the height,

                              volume = (3 cm²)(4 cm) = 12 cm³

Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.

let 'x' be the volume of the new solid,

[tex]\frac{x}{12}=\left(\frac{3}{2}\right)^3[/tex]

[tex]\frac{x}{12}=\frac{27}{8}[/tex]

Multiply both sides by 12

[tex]\frac{12x}{12}=\frac{27\cdot \:12}{8}[/tex]

[tex]x=\frac{81}{2}[/tex]

[tex]x=40.5[/tex] cm³

Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.

Answer:

A the answer is A

Step-by-step explanation:

break them apart put 18 into 10 and 8 and multiply it by 30 10 x 30 equals 300

30 x 8 equals 240 add them up you get 540  do the same with next one  break 15 into 10 and 5 multiply 20 by 5 and you get 100 multiply 20 by 10 and you get 200 add them up and you get 300 now add the final numbers up and you get  840