100^(3-4x)/(2x+1) is less than or equal to 0.01^(5x-8)/(2x+1)

Answers

Answer 1

Answer:

domain: 2x+1 not equal to zero, then x not equal to -1/2

Set 2x+1>0

then x>-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)<=0.01^(5x-8)

(10^2)^(3-4x)<=[10^(-2)]^(5x-8)

10^[2*(3-4x)]<=10^[(-2)*(5x-8)]

10^(6-8x)<=10^(16-10x)

6-8x<=16-10x

2x<=10

x<=5

combine x>-1/2 and x<=5

then - 1/2<x<=5

Set 2x+1<0

then x<-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)>=0.01^(5x-8)

(10^2)^(3-4x)>=[10^(-2)]^(5x-8)

10^[2*(3-4x)]>=10^[(-2)*(5x-8)]

10^(6-8x)>=10^(16-10x)

6-8x>=16-10x

2x>=10

x>=5

combine x<-1/2 and x>=5

, then x does not exist while 2x+1<0

so answer is - 1/2<x<=5


Related Questions

Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?

Answers

Answer:

$46.03

Step-by-step explanation:

Answer: A) $ 46.03

Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)

Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades

Answers

Answer:

$4000, $5600 and $7200

Step-by-step explanation:

Let the money be 5x,7x and 9x.

Total collection of money is $16,800

ATQ,

5x+7x+9x=$16,800

21x=$16,800

[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]

So, the values are :

5x=5(800) = $4000

7x=7(800) = $5600

9x=9(800) = $7200

Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50? More pendants to make a $50 profit

Answers

Answer:

Kelsey must produce 34 more pendants.

Step-by-step explanation:

Giving the following information:

Fixed costs= $200

Unitary variable cost= $7.8

Selling price per unit= $13.5

Desired profit= $50

To determine the number of units to be sold, we need to use the break-even point in units formula.

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (200 + 50) / (13.5 - 7.8)

Break-even point in units= 250/5.7

Break-even point in units= 43.86 = 44

Kelsey must produce 34 more pendants.

Which fraction is equivalent to 7/8 ?

Answers

So from 7/8 = 35/40 , 35 is the answer
Many fraction equivalent to 7/8
7/8•2=7/4
7/8•3=21/8
7/8•4=7/2
7/8•5=35/8
7/8•6=21/4
7/8•7=49/8
7/8•8=7
7/8•9=63/8
7/8•10=35/4

What is the midpoint between (5,1) and (-1,4)

Answers

Answer:

2, [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given parameters:

     Coordinates  =  (5,1) and (-1,4)

Unknown:

The midpoint = ?

Solution:

 To find the midpoint of these endpoints;

   this can be mathematically expressed as;

  x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]

  From the given coordinates;

        x₁ = 5                             y₁ = 1

       x₂  =   -1                          y₂ = 4

x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex]  ,  [tex]\frac{1 + 4}{2}[/tex]   = 2, [tex]\frac{5}{2}[/tex]

complete each proof​

Answers

Answer:

a) given

b) subtraction property

d) 3x+8 -8= 2-8

e) 3x= -6

f) division property

g) x=-2

Step-by-step explanation:

pls help easy middle school math

Answers

Answer:

Step-by-step explanation:

Question 2 is 3

Question 3 is 10^16

Question 4 is 1/3^5

Question 5 is r^m-n

Answer:

2. 2) x = 3

3. 3) 10^16

4. 2) 1/3^5

5. 1) R = m-n

Step-by-step explanation:

2 and 3 rules.  (A^n)^m = A mxn

4 rules. m + n then flip the fraction till it looks like 1/3^d

5 rules. r^m divided by r^n = R m-n

Determine which quadrant the point is in: (-3,-4)
Quadrant

Answers

the answer is quadrant 3

Answer:

Its in quadrant 3

Step-by-step explanation:

Since they are both negative they go into the third quadrant

7. Numericals
(a) A box has length 50 cm, breadth 20 cm and height 10 cm, then find
(i) its surface area of base;
(ii) its volume
(1000 cm², 100000 cm3)​

Answers

Answer:

i = 1000cm2

ii = 100000cm3

Step-by-step explanation:

for q i

surface area of base = l* b

= 50* 20

1000cm^2

for q 2

volume l*b*h

= 50*20*10

= 100000cm^3

hope it will be helpfull

Which number line represents all of the values of X for the equation X^2 equals 64?

Answers

Answer:

The first one

Step-by-step explanation:

Witch expressions is equivalent to 5(9+7)

Answers

Answer:

80

Step-by-step explanation:

cause I'm right and um a smart person

Answer:

80 cuz u gotta love pemdas

Solve for Y
2x+ y/3 = 4
a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12

Answers

Answer:

y=−6x+12

so A

Step-by-step explanation:

Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV

Answers

3x-4y=16

add 4y to both sides

3x=4y+16

divide both sides by 3

x=(4y+16)/3

Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.

Answers

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

Y^2 - X when X = 6 and Y = 11

Answers

Answer:

When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)

Step-by-step explanation:

Suppose a rollerblade racer a 132 meter race in 18 seconds what is the average speed of the roller blade racer A)0.136 m/s B)2.376 m/s C)7.33 m/s D)2376 m/s

Answers

The answer would be C I think

Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!

Answers

Answer:

your answer should be, D.135

i hope this helps!

Answer:

D) 135

Step-by-step explanation:

--------------- = 180 degrees

It's split and the other half is 45 degrees.

All you have to do is subtract.

180-45=135

<8 = D) 135

Another question to get brainlest if you answer this and another one i will give you brainlest:)

Answers

Answer:

Step-by-step explanation:

1: 10

2: 100

3: 1000

4: 10000

5:100000

6:1000000

7:10000000

8:100000000

9:1000000000

9.6 times 10 to the ninth power is...

0:9.6

1:96

2:960

3:9600

4:96000

5:960000

6:9600000

7:96000000

8:960000000

9:9600000000

the second equation is 2000 so then i did this

9600000000

             2000

______________

480000

which is in decimal form i believe is...

4.8 x 10 to the sixth power i hope its right and it helped :)

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[tex](9.6 \times {10}^{9} ) \div (2 \times {10}^{3} ) = [/tex]

[tex] \frac{9.6 \times {10}^{9} }{2 \times {10}^{3} } = \frac{96 \times {10}^{ - 1} \times {10}^{9} }{2 \times {10}^{3} } = \\ [/tex]

[tex] \frac{96}{2} \times {10}^{9 - 1} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8 - 3} = [/tex]

[tex]48 \times {10}^{5} = [/tex]

[tex]4.8 \times {10}^{6} [/tex]

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Thus the correct answer is the second option.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

It takes dariya 35 seconds to download 5 song

Answers

Answer:

7 seconds per song?

Step-by-step explanation:

Answer:

I assume you're asking how long it takes to download 1 song, which would be 7 seconds.

Step-by-step explanation:

Please look at the screenshot

Answers

Answer:

i believe its D

Step-by-step explanation:

I think it is the last one

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = MX + b form for the total cost of x pounds of fruit from the orchard.

a. Write an equation for this situation.

b. What is the independent variable?

c. Explain the independent variable

d. What is the b?

e. Explain the b

Answers

Answer:

Step-by-step explanation:

Given the information

lee charges= $3 per basket

and $2.5 for each pound.

ley y be the total cost

and x be the number of pounds,

the expression for the total cost is given as

a. Write an equation for this situation.

y=mx+b

b. What is the independent variable?

the independent variable is b

c. Explain the independent variable

the independent variable is the fixed cost which is the amount of $3 per basket that lee charges for each pound of fruit he picks

d. What is the b? b=$3

e. Explain the b

the $3 is the amount that lee charges regardless of the number of pounds he picks

Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?

Answers

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

distribute then solve two-step = to get z

4(2z-5)=-4

Answers

x = 2

Step-by-step explanation:

math lol

I'm truly deeply sorry if its wrong :'))

Answer:

z = 2

Step-by-step explanation:

Given

4(2z - 5) = - 4 ← distribute parenthesis on left side by 4

8z - 20 = - 4 ( add 20 to both sides )

8z = 16 ( divide both sides by 8 )

z = 2

One day, the principal announces the cancelation of classes to two teachers, each whom sends this to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal’s text message as first, how many text messages were sent in all?

Answers

Answer:

62

Step-by-step explanation:

2 + 4 + 8 + 16 + 32 = 62

If each person sends 2 texts each, then you basically multiply by 2 every round

What do you think makes a rule a function? In math terms.

Answers

Answer:

A function is a rule that assigns exactly one output to each possible input. This table does not represent a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT represent a function.

You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?

Answers

Answer:

you would not be able to withdraw $60

Step-by-step explanation:

$50 is less than $60

Answer:

$-10 (you wouldn't be able to withdraw 60, only 50 or less.)

Step-by-step explanation:

You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.

And you wouldn't be able to withdraw 60, only 50 or less.

(~ ̄▽ ̄)~Hope this helps!

graph the following: y = -4x – 1.

Answers

This is a line portrayed in point-slope form.

First, put a point at (0, -1). This is your y-intercept.

Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).

Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).

Finally, draw a line connecting all your points.

Next time you need to graph something, look up a graphing calculator and then you can input your equation. I like using the desmos one. It is free.

What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 135. Fully reduce your answer.

Answers

Answer:

The slope is -9/12

Step-by-step explanation:

First find the slope of the given line:

12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15

The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.

So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.

how to do this question plz ​

Answers

She would buy 8 3-pack cartons and 2 singular cartons. You multiply the prices for each (.9x8 + 2(0.38)), she would spend $7.96.

Rs800 for 3 year at rate of 5 percent p.a

Answers

Answer:

Simple Interest = (Time * Rate * Principal) / 100

=> SI = 3 * 5 * 800 / 100

=> SI = 15 * 8

=> SI = Rs. 150

Hence, her interest after 3 years at a rate of 5 percent = Rs. 150

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

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