Below is the graph of a polynomial. Which of the following statements about
this graph is true?

Answer:

[tex]\Huge \boxed{x=-2}[/tex]

Step-by-step explanation:

[tex]-136=8(6x-5)[/tex]

Dividing both sides by 8.

[tex]-17=6x-5[/tex]

Adding 5 to both sides.

[tex]-12=6x[/tex]

Dividing both sides by 6.

[tex]-2=x[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 136 = 8(6x - 5)}[/tex]

Distribute 8 through the parentheses

⇒[tex] \sf{ - 136 = 48x - 40}[/tex]

Swap the sides of the equation

⇒[tex] \sf{48x - 40 = - 136}[/tex]

Move 40 to right hand side and change it's sign

⇒[tex] \sf{48x = - 136 + 40}[/tex]

Calculate

⇒[tex] \sf{48x = - 96}[/tex]

Divide both sides of the equation by 48

⇒[tex] \sf{ \frac{48x}{48} = \frac{ - 96}{48} }[/tex]

⇒Calculate

[tex] \sf{x = - 2}[/tex]

Hope I helped!

Best regards!!

Answer:

b= u/y -r

Step-by-step explanation:

Answer:

0.25 x 5 = 1.25

This will not require any division. So, this is the answer. Hope this helps!

Answer:

The student got 90% correct and 10% incorrect.

Step-by-step explanation:

Answer:

(x+1)²/6 - (y+3)²/12 = 1

Step-by-step explanation:

The standard form of writing the equation of an hyperbola is expressed as;

(x-h)²/a² - (y-b)²/b² = 1 where (h,k) is the centre of the hyperbola.

Given the equation:

6x²-3y²+12x-18y-3 = 0

We are to convert it to the standard form of writing the equation of a hyperbola.

Collecting the like terms will give;

(6x²+12x)-(3y²+18y)-3 = 0

Divide through by 3

(2x²+4x)-(y²+6y)-1 = 0

Completing the square of the equation in parenthesis and adding the constants to the other side of the equation:

(2x²+4x)-(y²+6y+(6/2)²)-1 = 0+(6/2)²

(2x²+4x)-(y²+6y+9)-1 = 9

2x²+4x -{(y+3)²} = 9+1

2x²+4x - (y+3)² = 10

Divide through by 2

x²+2x -(y+3)²/2 = 5

(x²+2x+(2/2)²)-(y+3)²/2 = 5+(2/2)²

(x²+2x+1) - (y+3)²/2 = 5+1

(x+1)²-(y+3)²/2 = 6

Divide through by 6

(x+1)²/6 - (y+3)²/12 = 1

The resulting equation is the required standard form of a hyperbola with centre at (-1, -3)

Answer:

14,175

Step-by-step explanation:

since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.

1 foot = 12 inch

dimension of room

12 feet by 20 feet by 8 feet

dimension of room in inches

12 feet = 12*12 inches = 144 inches

20 feet = 12*20 inches = 240 inches

8 feet = 12*8 inches = 96 inches

volume of cube = length *width *height

dimension of room = 144 inches * 240 inches * 96 inches

                        = 3,317,760 cubic inches

volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.

let there be n packages in the room

volume of n package = n*volume of 1 package = 2,106*n cubic inches.

This volume of n packages should be equal to volume of warehouse

2,106*n= 3,317,760

=> n= 3,317,760/2,106 = 1,575.38

since package cannot be in fraction and value after decimal is less than 5 we will round the value to  1,575.

Thus, no of packages is 1,575

1 package has 9 rolls

1,575 package has 9*1575 rolls

thus, no of rolls in the warehouse = 14,175

Answer:

Population and Sample

Step-by-step explanation:

The state of Mississippi is the population

The randomly selected resident is the sample

Population Belt Use: 60%

Population No-belt Use: 40%

Sample (selected resident's) Seat-belt Use = Y

Note: the question doesn't state or ask whether Y is positive (use of seat belt) or negative (no use of seat belt).

How does the standard deviation of X compare with the standard deviation of Y?

X is the population standard deviation of seat belt use from the mean value of seat belt use WHILE Y is the sample standard deviation of seat belt use from the mean value (of all persons in the sample) of seat belt use.

For this, we will divide 1,270,224 by 144.

1,270,224 ÷ 144 = 8,821.

For this result, we can conclude that the number of boxes required to pack 1,270,224 litchis is 8,821 boxes.

Answer:

135.

Step-by-step explanation:

(21 + 3) · 6 - 9

*21 + 3 = 24

24 · 6 - 9

**24 · 6 = 144

144 - 9

***144 - 9 = 135

Answer:

1.25 is largest, 1.1 is second, 0.924 third, 0.61 fourth, 0.5 fifth, 0.12 sixth.

Step-by-step explanation:

I will edit this post and explain later because you said you need the answer fast. :)

Answer:

  see below

Step-by-step explanation:

You know that the denominator of a fractional exponent is the same as a root index, so ...

  [tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}\\\\\boxed{x^{\frac{2}{7}}=\sqrt[7]{x^2}}[/tex]

6i(7-6i)

42i-36i^2

hope it helps

Answer:

36+42i

Step-by-step explanation:

6i(7-6i)

=42i-[tex]36i^2[/tex]

=42i-(36x -1)

=42i+36

=36+42i

Answer:

78 games

Step-by-step explanation:

Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:

12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 =  78

I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:

T = (n * (n + 1)) / 2

So in this case:

(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78

Answer:

Through a cellular service provider, the phone connects to the Internet through data transfer the same way a PC does, but with a wireless link. ... Cell phones have an in-built antenna which is used to send packets of digital information back and forth with cell-phone towers via radio waves. so the use of the internet it allows u to download apps,visit sites, (ect.)

Hope this helps_ /(TwT)\_

Answer:

I use celcius so can u convert if I were to answer ?

Answer:

Step-by-step explanation:

[tex] \sf{ \frac{1}{2} (x - 3) = 9}[/tex]

Distribute 1/2 through the parentheses

⇒[tex] \sf{ \frac{1}{2} x - \frac{1}{2} \times 3 = 9}[/tex]

Multiply the fractions

⇒[tex] \sf{ \frac{1}{2} x - \frac{1 \times 3}{2 \times 1} = 9}[/tex]

⇒[tex] \sf{ \frac{1}{2} x - \frac{3}{2} = 9}[/tex]

While performing the addition or subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.

⇒[tex] \sf{ \frac{x - 3}{2} = 9}[/tex]

Apply cross product property

⇒[tex] \sf{x - 3 = 9 \times 2}[/tex]

Multiply the numbers

⇒[tex] \sf{x - 3 = 18}[/tex]

Move 3 to right hand side and change it's sign

⇒[tex] \sf{x = 18 + 3}[/tex]

Add the numbers

⇒[tex] \sf{x = 21}[/tex]

Hope I helped!

Best regards!!

Answer:

y=1/3x+4

Step-by-step explanation:

It should be correct as the gradient = 1/3

and the y-intercept = C

= +4

Answer:

a) the probability that the minimum of the three is between 75 and 90 is 0.00072

b) the probability that the second smallest of the three is between 75 and 90 is 0.396

Step-by-step explanation:

Given that;

fx(x) = { 1/5 ; 50 < x < 100

              0, otherwise}

Fx(x) = { x-50 / 50 ; 50 < x < 100

                          1 ;   x > 100

a)

n = 3

F(1) (x) = nf(x) ( 1-F(x)^n-1

= 3 × 1/50 ( 1 - ((x-50)/50)²

= 3/50 (( 100 - x)/50)²

=3/50³ ( 100 - x)²

Therefore P ( 75 < (x) < 90) =  ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx

= 3/50³ [ -2 (100 - x ]₇₅⁹⁰

= (3 ( -20 + 50)) / 50₃

= 9 / 12500 = 0.00072

b)

f(k) (x) = nf(x)  ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k

Now for n = 3, k = 2

f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))

= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)

= 6/50³ ( 150x - x² - 5000 )

therefore

P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx

= 99 / 250 = 0.396

Answer:

Step-by-step explanation:

a)  Since the x's of the original equation are equal to the y's of the inverse equation, and vice versa, you can simply put the x-values of the table for the inverse equation into the y-values of the original equation.  The same principle applies to the inverse equation.  The table should look like the tables attached.

b)  The x's and y's in the points of the inverse are switched.  The points will be

(10, 27)  -->  (27, 10)

(3.5, 14)  -->  (14, 3.5)

(a, b)  -->  (b, a)

(x, y)  -->  (y, x)

Answer:

The equation is:

(1/a)x + (1/b)y + (1/c)z = 1

Step-by-step explanation:

The direction vector between the points (a, 0, 0) and (0, b, 0) is given as:

<0 - a, b - 0, 0 - 0>

<-a, b, 0> .....................(1)

The direction vector between (0, 0, c) and (0, b, 0) is given as:

<0 - 0, b - 0, 0 - c>

= <0, b, -c> .....................(2)

To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

<-a, b, 0> × <0, b, -c> = <-bc, -ac, -ab>

To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

(-bc)x + (-ac)y + (-ab)z = (-bc)0 + (-ac)b + (-ab)0

(bc)x + (ac)y + (ab)z = (ac)b

Dividing both sides by abc, we have:

(1/a)x + (1/b)y + (1/c)z = 1

We will call π,  the plane with points P, Q, R  ( the intercepts )

The solution is:

π :  -bc×x + ac×y -ab×z - bac = 0

c) d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

The intercepts  P Q R are three points of the plane, according to that

P ( 0, b, 0 ) intercept with y-axis

Q ( a, 0, 0 ) intercept with x-axis

R ( 0, 0, c ) intercept with  z-axis

We will find the vectors PQ  and  PR both are on the plane

PQ  = [ a, 0, 0 ] - [ 0, b, 0 ]         ⇒     PQ = ( a , -b, 0 )

PR  =  [ 0, 0, c ] - [ 0, b, 0 ]          ⇒     PR = ( 0, -b  c )

The vectorial product of these two vector will give us, one normal vector to the plane.

                        i        j         k

PQ * PR  =     a      -b        0    =   i (-bc)  - j ( ac - 0 ) + k ( -ab - 0)

                       0      -b        c

PQ * PR  = [ -bc,  -ac,  -ab ]

we call this vector n =  [ -bc, -ac, -ab ]

Let´s now find a vector between P,  and a general point T ( x , y , z ) on the plane.

PT = [ x, y, z ] - [ 0, b, 0 ]    ⇒  PT = [ x-0 , y - b , z - 0 ]

PT = [ x, y-b, z ]

Vector PT is perpendicular to vector n, then their dot product must be 0

Then:

PT × n = 0

[ x, y-b, z ] ×   [ -bc, -ac, -ab ] = 0

x × (-bc) + ( y - b )× (ac) + z × (- ab) = 0

-bc×x + ac×y -bac - ab×z = 0

-bc×x + ac×y -ab×z = bac         (1)

Finally,  we got the implicit equation for plane π as:

π :  -bc×x + ac×y -ab×z - bac

c) The distance (d) between the plane and the origin is:

d = | D | / | n |

| n | = √ ( -bc)² + (-ac)² + ( -ab)²

|D| = | bac|     the right side of the equation (1)

Then

d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

Related Link :https://brainly.com/question/3914382

Answer:

2,000

Step-by-step explanation:

I just completed it on Khan Academy and it was right. I hope this helps!

Answer:

2000 likes per minute

Step-by-step explanation:

thats the answer on khan

Answer:

y=x-5

Step-by-step explanation:

First we need to find the slope.

(-8+6)/(-3+1)

-2/-2

So the slope is 1

Using -1,-6 because we know the slope is 1, if we add 1 to x, we add 1 to y

So the y intercept is 0,-5

The equation is y=x-5

First find the gradient

[tex] \frac{y2 - y1}{x2 - x1} = \frac{( - 8) - ( - 6)}{( - 3) - ( - 1)} = \frac{5}{2} [/tex]

then using the formula y-y1 = m(x-x1)

y - (-6) = 5/2(x-(-1))

y + 6 = 5/2 (x+1)

2y + 12 = 5x + 5

2y - 5x = 5-12

2y - 5x = -7

5x - 2y = 7

so equation of the line is 5x -2y = 7

Sorry if im wrong

Answer:

24

Step-by-step explanation:

The answer is 24 because you have to use PEMDAS which is parenthesis, exponents, multiply and divide left to right (which means whichever one is first), lastly add and subtract left to right.

Answer:

24.013.

Step-by-step explanation:

Simplify: 24 13/1,000 = 24013/1000. Than just use a calculator to make it into a decimal.

Answer:

4%.

Step-by-step explanation:

The cube of 5 is 125.

So the required percentage is (5 * 100) / 125

= 500/125

= 4%.

Answer: B

Step-by-step explanation: I think thats right

Answer:

f(n)= (n-50)²

Step-by-step explanation:

The difference between a number n and fifty:

Square of this difference:

It would look like this as variable expression:

Answer:

the difinition of addition is adding two things together

Step-by-step explanation:

Answer: Hi!

The definition of addition is when you add two or more more numbers (positive or negative.)

Hope this helps!