Solve the inequality 8y - 3(y - 2)< 2y + 4(2y + 4) write solution in interval notation

Answers

Answer 1

Answer: y>-2

Step-by-step explanation:

8y-3(y-2) < 2y+4(2y+4)

8y-3y+6 < 2y+8y+16

6-16<2y+8y-8y+3y

-10<5y

y>-2

Answer 2

Answer:

(−∞,−2)

Step-by-step explanation:

Start by simplifying each side as much as possible by distributing and combining like terms to get

8y−3(y−2)8y−3y+65y+6>2y+4(2y+4)>2y+8y+16>10y+16

Subtract 10y from both sides to collect the variables on the left, then subtract 6 from both sides to collect all the constants on the right.

5y+65y+6−10y−5y+6−5y+6−6−5y>10y+16>10y+16−10y>16>16−6>10

Divide each side by −5 to solve for y. Since −5<0, the inequality changes direction.

−5y−5y−5y>10<10−5<−2

In interval notation, we write this as (−∞,−2).


Related Questions

y= -2x+8
what is the value of y when 0 is the value of x?

Answers

Value of y is 8 because if x is zero than zero times anything is zero and you have 8 left over

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

Find vux
What is vux??????

Answers

Vux means line will cross the y axis . Horizontal lines have 0 slope. What does the y in hoy vux mean? It means the line will cross the y axis.

A construction company can remove
1/3 metric tons of dirt from a construction site in 1/6
hours.
What is the unit rate in metric tons per hour?

Answers

Answer:

sorry not having idea about ans

Answer:

A construction company can remove

1/3 metric tons of dirt from a construction site in 1/6

hours.

What is the unit rate in metric tons per hour?

Me too

Explanation for solving the following equation
1/2(f+4)=8

Answers

1/2(f + 4) = 8

Divide the whole thing by 1/2 to get rid of it.

f + 4 = 16

Subtract 4 on both sides

f = 12

x^2+y^2+z^2=10
x+y+z=4
y-xz=3
what is the Solutions?

Answers

Answer:

.

Step-by-step explanation:

The equation of the line that passes through (1, 8) and (2, 13) is y =5x+3.

True

False

Answers

Answer:

True

Step-by-step explanation:

y=5x+3

8=5(1)+3

13=5(2)+3

The function h(x) = 2x – 8+ 1 is a transformation of the parent function f(x) = x. Select all the statements that describe a key feature of function h.​

Answers

Answer:

1

4

5

Step-by-step explanation:

When playing the lottery game Cash4Life, you must choose a cash ball number from 1 through 4. What is the probability that the randomly drawn cash ball is at least 2?
A. 0.50
B. 0.75
C. 0
D. 0.25

Answers

Answer:

[tex]P(At\ least\ 2) = 0.75[/tex]

Step-by-step explanation:

Given

Balls = 1 to 4

Required

Determine the probability of selecting ball numbered at least 2

Here, we'll assume that all numbers have the same probability.

The probability of each ball will be:

[tex]Probability = \frac{1}{4}[/tex]

So:

[tex]P(At\ least\ 2) = P(2) + P(3) + P(4)[/tex]

Recall that

[tex]Probability = \frac{1}{4}[/tex] --- for each ball

So, the equation becomes

[tex]P(At\ least\ 2) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(At\ least\ 2) = \frac{3}{4}[/tex]

[tex]P(At\ least\ 2) = 0.75[/tex]

25 miles/hour =_meters/minute

Answers

670.56 meters. I hope it helps !
670.56 is correct!!!

-7+(12)-(-8)-(9)+(-12)-(-10)+(-5)=

Answers

Answer:

-7+(12)-(-8)-(9)+(-12)-(-10)+(-5)= -3

Step-by-step explanation:

Answer:

The answer is -3

Step-by-step explanation:

−7+12−(−8)−9−12−(−10)−5

=5−(−8)−9−12−(−10)−5

=13−9−12−(−10)−5

=4−12−(−10)−5

=−8−(−10)−5

=2−5

=−3

Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:​

Answers

Answer:

The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206

Step-by-step explanation:

Given

Mean = μ = 4500 acres

SD = σ = 780 Acres

Two data points between which the probability has to be calculated are:

3000 and 4800

x1 = 3000

x2 = 4800

z-score will be found for both data points

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

The z-scores are:

[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]

Now we have to find probabilities for both z-scores using the z-score table

[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]

Now for the probability between both values

[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]

Rounding off to four decimal places

0.6206

Hence,

The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206

Analyn is heating a solution in her chemistry lab. The temperature of the solution starts at 10°CShe turns on the burner and finds that the solution's temperature increases by 4°C every minute. This graph shows the temperature change.

Answers

Answer:

D

Step-by-step explanation:

if you go 6x and 34 y you get a point on the line.

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

Which function has a range of (-pi/2,pi/2)?
y = Cos-1x
y = Tan-1x
y = Sec-1x
y = Csc-1x

Answers

Answer:

b) y=tan^-1(x)

Step-by-step explanation:

edge 2020

To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat

Answers

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

Houses can be either domed or octagonal.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Houses can be either domed or octagonal: True

Read the sentences Taxi drivers themselves have to know nearly every street in the city. Paul drove himself around several neighborhoods to learn where the streets are since he wants to become a taxi driver.

Which choice correctly identifies two pronouns from the sentences?


himself (intensive), he (reflexive)

themselves intensive), himself (reflexive)

themselves (reflexive), himself (intensive)

himself (reflexive), he (intensive)​

Answers

Answer:

Themselves(intensive) himself(reflexive)

Step-by-step explanation:

PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above

Answers

Answer:i think its b im not sure tho

Step-by-step explanation:

Answer: The answer is A) x= -10/19

How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters?

Answers

Answer:

X=3

Step-by-step explanation:

For a linear equation like 2x + 3 = 9 you would start with subtracting 3 from both sides. Then you would divide both sides by 2 to get x by itself. You get x=3

For linear inequalities it’s the same but with a less than or equal sign. You just solve the same way. However if you divide a negative the sign flips like in my second example. I’m not sure if this is exactly what you are looking for since I don’t know what your problems look like but I hope it helps.

A coin is tossed and number 1-8 is chosen at random. What is the probability of getting tails and a number greater than 3.

Answers

Answer:

5 in 8

Step-by-step explanation:

there is a 5 in 8 chance to get a number greater then 3

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?

Answers

I’m so hungry gurlll like stop playinn

Forty-seven thousand people ride the city bus every day. On
average, about how many people ride the bus each hour?

Answers

1,958 I think hope this helps

Three friends went out to dinner. Their bill came to $30.00, and
they decided to tip the waitress 20%. How much did they spend
in total?

Answers

Answer:

$36.00

Step-by-step explanation:

There are 2 methods

Method 1: 30*1.20=36

Method 2: 30*.20=6 30*6=36

What is the unit rate $2.39 for 48oz to nearest tenth

Answers

Answer:

$0.05 per oz.

Step-by-step explanation:

2.39/48=0.049...... which is 0.05 to the nearest tenth. Money is never the unit rate so that is why you divide money by the measurement, in this case, ounces.

Ronda graphs a point B in Quadrant | on the coordinate plane, so that the point B is 1 1/2 units away from point A. What are the coordinates of point B?

Answers

Answer:

It's (1/2 , 1/2)

Step-by-step explanation:

The required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).

Given that,
Ronda graphs point B in Quadrant | on the coordinate plane so that point B is 1 1/2 units away from point A.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
Let the coordinate of the point A be (x, y)
According to the given condition,
Coordinate of the B is given as,
B = [x + 1 1/2] , [y + 1 1 /2]

Thus, the required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ5



what's 2x + 54. Just lmk whenever

Answers

Answer:

It's 27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The prime factorization of each number is given. List all the factors of each number in prime factorization form.

Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.

1001=7∙11∙13

Answers

Answer:

1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13

Step-by-step explanation:

Given

1101 = 7∙11∙13

Factors of 1101:

1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13

what is 69 divided by 9

Answers

Answer:

7.6 repeating or if you want the whole answer its 7.66666666667

Step-by-step explanation:

remember its always best to plug in your equation in the calculator after you answered the equation just to see if your answer is correct.

hope this helps :D

Answer:

its still 69 HA im joking its 7.66666666666

Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)

Answers

Answer: x= -56/9

Step-by-step explanation:

34+12x=3x-22

Subtract 12x from both sides

34=-9x-22

Add 22 to both sides

56=-9x

Divide -9 by both sides to get x alone

56/-9=x

So

x=-56/9

Reflect the figure over the line y = -1/2x +1.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

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