Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

5. Explain what the solution means in the context of the word problem.

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

man im sorry because its hard to explain

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

Step-by-step explanation:

You can take the numerator as one factor and 1/denominator as another.

Just an example:

Let a = 1, then the following product will give what we have

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

Answer:

10+10+10

Step-by-step explanation:

x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

Answer:

21,678 rounded to the nearest ten is 21,680

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

Answer:

[tex]1\frac{11}{24}[/tex] cups more water than sugar

Step-by-step explanation:

Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.

Answer:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

=  [tex]1\frac{11}{24}[/tex] cups

[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.

Answer:

pic is answer

Step-by-step explanation:

Answer: One present cost 6 dollars and 31 cents.

Step-by-step explanation:

Ok so first you subtract 2.26 from 13.75 to find out the total that George has.

That would be 11.49.

Next you add them together because they combine allowances.

So thats 25.24.

Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.

This would be 6.31

You leave the decimals because your talking about money.

Hopefully this helps. Have a wonderful day. :)

Marking me brainly really helps if you found my answer helpful!

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

2.

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

Answer: 100

Step-by-step explanation:

A line equals 180 so subtract 180-80 to get your answer.

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of m is equal to :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]

Answer: 90millionhajk

Step-by-step explanation:

Answer:

y= -3/5x -3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

\sqrt{35} = 5.916079783

Its the Closest one

Answer:

C is the correct answer

[tex] \sqrt{35 } = 5.91 \\ [/tex]

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answer:

hope you understand .............