What are the steps for this inequality: 6z < 48

Given:

The function is

[tex]f(x)=2x^3+kx-9[/tex]

The remainder when f(x) is divided by x−2 is 23.

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

[tex]f(2)=23[/tex]       ...(i)

Put x=2, to find the value of f(2).

[tex]f(2)=2(2)^3+k(2)-9[/tex]

[tex]f(2)=2(8)+2k-9[/tex]

[tex]f(2)=16+2k-9[/tex]

[tex]f(2)=2k+7[/tex]          ...(ii)

Using (i) and (ii), we get

[tex]2k+7=23[/tex]

[tex]2k=23-7[/tex]

[tex]k=\dfrac{16}{2}[/tex]

[tex]k=8[/tex]

Therefore, the value of k is 8.

Answer:

y≥1

Step-by-step explanation:

hello :

y-1≥0

y-1+1≥0+1

y≥1

Answer:

127 degrees

Step-by-step explanation:

All the degrees in a pentagon need to equal 540. Add up the degrees known and then subtract from 540.

good luck!! <3

Answer:

Thanks for the points G

Step-by-step explanation:

bye

Answer:

Step-by-step explanation:

SAS

Answer:

AAS

Step-by-step explanation:

Answer:

Its C, think a e and c its angle is about 150 degree

s

Answer:

I got you

Step-by-step explanation:

you just gotta get good kid :D

Answer:

25%

Step-by-step explanation:

(10-8)/8 * 100%

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Cos is Adjacent over Hypotenuse, (see picture below)

x/xsqrt(2)

1/sqrt(2)

sqrt(2)/2

Answer:

Slope is 5

Step-by-step explanation:

(1, 2) and (3, 12)

m= (y2-y1)/(x2-x1)

m= (12-2)/(3-1)

m= 10/2

m= 5

Answer:

[tex]64 - (a + b)^2[/tex]

Step-by-step explanation:

[tex]64 - a^2 - 2ab - b^2\\64 - (a^2 + 2ab + b^2)\\64 - (a + b)^2[/tex]

Answer:

Step-by-step explanation:

64 - a² - 2ab  - b² = 64 -(a² + 2ab + b²)

                            = 8² - (a  +b)²        {x² - y² = (x + y)(x -y)

                           = (8 + a +b) (8 - (a +b))

                          =(8 +a + b)(8 - a - b)

Answer:

They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units

Step-by-step explanation:

Remember your y-intercept has an x value of zero, so line B has a y intercept of (0,-2)

now let's find b in the original equation so

y - 8 = -2x - 2 so y = -2x -2 + 8, so y = -2x + 6

So line A has a y-intercept of (0,6)

They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units

Answer:

Step-by-step explanation:

Remark

The formula you use is (Electricity / Total Income ) * 100

The ratio becomes 53.7/1725  * 100%

The ratio is 53.7/1725 * 100 = 0.03113 * 100

The % = 0.03113 * 100 = 3.113

To the closest tenth that is 3.1%

Answer:

Never

Never

Always

Always

Never

Step-by-step explanation:

Substitute (x) for another number, I used (1), I if works then the answer is always and if it doesn't the answer is never. If you are unsure of your answer you can double-check by substituting another number instead.

Answer:

a. Never true

b. Never true

c. True

d. True

e. Never true

Answer:

A. 15 square units

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

1 and 7

Step-by-step explanation:

(x+4)(x-2) = x²+2x-8

set up proportion:

2x-3/ x²+2x-8 = 1/5

cross-multiply:

5(2x-3) = x²+2x-8

10x-15 = x²+2x-8

Combine Like Terms:

x²-8x+7

Factor:

(x-7)(x-1)

set each factor equal to zero and solve:  x = 1, x = 7

Answer:

[tex] \frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1[/tex]

Step-by-step explanation:

x=7 or x=1

Answer:

B

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

The value of x is given from proportion and x = 9

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the first polygon and second polygon be similar

So , the ratio of their corresponding sides will also be similar

Substituting the values in the equation , we get

( x -1 ) / 6 = 16 / 12   be equation (1)

On simplifying the equation , we get

Multiply by 6 on both sides of the equation , we get

( x - 1 ) = ( 16 x 6 ) / 12

( x - 1 ) = 16 / 2

On simplifying the equation , we get

x - 1 = 8

Adding 1 on both sides of the equation , we get

x = 9

And ,

( y + 1 ) / 21 = 32 / 24   be equation (2)

On simplifying the equation , we get

Multiply by 21 on both sides of the equation , we get

( y + 1 ) = ( 4 x 21 ) / 3

y + 1 = 4 x 7

y + 1 = 28

Subtracting 1 on both sides of the equation , we get

y = 27

Hence , the value of x is 9

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

Thank to Goalscore24 correcting me, its actually Maria walking faster

Because 40 divided by 25 is 1.6

and 30 divided by 10 is 3

So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second

So Maria is faster.

Answer:

Here:

Step-by-step explanation:

You choose 2,4,6,8,10 as your solution points, or in other words the numbers you with substitute in for x.

The equation is:

y= 1/2x+1

So what we would do is take one number from the list above (2,4,6,8.10) and put it in for are.

So, Thats how you do it, I attached a completed version of your paper below!

Answer:

Step-by-step explanation:

The volume of a rectangular prism is

V=xyz, where x,y,z are the three dimensions, in this case

V=10(4.5)6.25

V=281.25 ft^3

Answer:

4

Step-by-step explanation:

32/8

= 4

Pls mark as branlist

Answer: UST = 77

Step-by-step explanation:

Angle RSU and angle UST together measure 180. (half of a circle) (or you can say they are a linear pair...either way they would sum to 180) 180-103 = 77

Answer:

Step-by-step explanation:

h/45=6/4

h=45(6)/4

h=67.5ft

Answer:

6x+18y

Step-by-step explanation:

Answer:

6x + 18y or 6 (x + 3y)

Step-by-step explanation:

Distribute the 3 or divide the parentheses by 2

Answer:

36(x + 1)^2 = 0 or 36x^2 + 72x + 36

Step-by-step explanation:

s^2 = area of a square

(6x + 6) (6x + 6)

6x*6x = 36x^2

6x*6 = 36x

6*6x = 36x

6*6 = 36

36x^2 + 36x + 36x + 36

36x^2 + 72x + 36

36(x + 1)^2 = 0