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

PLEASE ANSWER THESE I'M NOT SURE HOW TO DO IT TYSMMMMM

Answers

Answer:

your answer is 234

Step-by-step explanation:

The total degree inside the triangle is 360.

Add 104 and 22 to gt 126, and subtract from 360 to get the angle value of x, which is 234 degrees.

Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point.
y = -5x + 1; (2, -1)

Answers

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = [tex]\frac{1}{5}[/tex] x (-1) + c

           c  = 2 + [tex]\frac{1}{5}[/tex]   = [tex]\frac{11}{5}[/tex]  

The equation of the new line is;

          y  =  [tex]\frac{1}{5}[/tex]x +  [tex]\frac{11}{5}[/tex]  

or multiply through by 5;

        5y  = x + 11

PLS ANWSER QUICK TIMED ASSIGNMENT

Which equation represents a circle with a center at (2,-8) and a radius of 11

(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121​

Answers

The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y

Part B
Does this curved line represent a function? if not at what points does it fall the vertical line test?

Answers

Answer:

This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).

Step-by-step explanation:

This is the exact answer edumentum gave me. be careful, i got this wrong.

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

[tex](\frac{x1 + x2}{2}, \frac{y1+y2}{2}[/tex])

Step-by-step explanation:

Find the value of n. 103 × n = 630 The value of n is .

Answers

Answer:

The answer would be n=6.11

Step-by-step explanation:

The answer would be n=6.125

It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.

To find the value of n, we can divide both sides of the equation by 103.

103 * n = 630

n = 630/103

n = 6.125

Therefore, The value of n is 6.125

Learn more about Algebraic Equations at

https://brainly.com/question/4344214

$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)

Answers

2.75/100=0.0275
= 24000 x ( 1 + 0.0275 ) ^ 4= 26750.91
26750.91 - 24000 = 2750.90
i’m sorry if it’s wrong

Answer:

(Use the attached formula)

24,000 for 4 years (48 months) at 2.75% interest

We divide rate by 1,200 which equals 0.0022916667

Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000

Monthly Payment = 0.0022916667 + (0.0022916667 /  (1.1161375981  -1) * 24,000

Monthly Payment = [0.0022916667 + (0.0022916667 /  0.1161375981 ] * 24,000

Monthly Payment = [0.0022916667 +  0.0197323411 ] *24,000

Monthly Payment = 0.0220240078  * 24,000

Monthly Payment = 528.5761872  = 528.58 (rounded)

Step-by-step explanation:

Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees​

Answers

Answer: the answer is 55°

Step-by-step explanation:

You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten

help please I’m struggling badly because Im bad at math

Answers

Answer:

40º

Step-by-step explanation:

if u look at the triangle it would show you

Answer:

40 degrees

Step-by-step explanation:

since JKM is congruent to PQR then,

Q is congruent to K so they have the same measure.

Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.

Answers

Answer:

4

Step-by-step explanation:

In the middle school debate club, 40% of the members are in sixth grade. If there are 12 sixth graders in the debate club, how many total members are there?

Answers

Answer is definitely this
Answer=30

Answer 30

Step-by-step explanation:

I Just had a Test and it asked me that and I got an 100

What is the constant proportionality in the table below?

Answers

Answer:

1/2

Step-by-step explanation:

Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2

Whar is the square root of 9604?

Answers

Answer:

98

Step-by-step explanation:

the square root of 9604 is 98 which lie between 97 and 99

A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?

Answers

Answer:

12

Step-by-step explanation:

We have to find 3/4 th of 16

So it's 3/4 * 16 = 12

What is the scale factor and center of dilation?

Answers

the answer to the question is m

John wants to make a triangular garden. Which of the following are possible dimensions?

Answers

Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out

What is a number greater than 260 that rounds to 260

Answers

Answer:

263 (if u round to the nearest tens)

Step-by-step explanation:

Answer:

261, 262, 263, 264

Step-by-step explanation:

They are all higher and if you go to 5+ you round up.

In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)

Answers

Answer:

$21.2

Step-by-step explanation:

3.30*5+4.70*1=21.2

Given: AB ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate:

Answers

Answer:

Step-by-step explanation:

Given that

AB n GF = O

E ∈ ∠GOB

H ∈ ∠AOF

The we can say, using similar angles or triangles, that

BF = AG

EG = AH

BG = FA

PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property

Answers

Answer:4x + 12 = 2 ( 2x + 6)

 Step-by-step explanation:

What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3

What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3

Answers

Answer:

.5 for the first blank

2 for the second blank

I WILL MARK BRAINIEST

Answers

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?

Answers

1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340

The answer is approximately 608040

Reason: for ever 2 hours its 1689 so times that by 12 to make 24 hours for a day and times that by 30

Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!

Answers

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

ΔACB is a right triangle

m∠B = 57°

AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

x = [tex]\frac{10.8}{sin(57)}[/tex]

x = 12.87752356

→ Round your answer to the nearest tenth

x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Just answer number 1
M<7=30 ,m<2 ?

Answers

Answer:

Step-by-step explanation:

1). ∠7 ≅ ∠ 2 (alternate exterior)

m∠7 = m∠2 = 30°

2). ∠4 and ∠1 are supplementary angles

m∠1 = 180° - 72° = 108°

A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.

Answers

Answer:

5137

Step-by-step explanation:

can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12

Answers

Answer:

13, 16.5, 12

Step-by-step explanation:

-7x= -91 divide both sides by -7 to isolate x

[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1

x=13

0.5x + 1.75 = 10 subtract 1.75 from both sides

0.5x +1.75-1.75 =10 -1.75

0.5x = 8.25 divide by 0.5 both sides

[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]

x=16.5

0.75h +3=12 subtract 3 from both sides

0.75h = 12-3 divide both sides by 0.75

[tex]h= \frac{9}{0.75}[/tex] = 12

Solve the equation -11<-x+2<3

Answers

Answer:

13 > x > -1

Step-by-step explanation:

-11 < -x + 2 < 3

~Subtract 2 both sides

-13 < -x < 1

~Divide -1 to both sides

13 > x > -1

Best of Luck!

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

What is the length to XY? Enter only the number as an integer or decimal.

Answers

Answer:

11.25

Step-by-step explanation:

it is a dialation of 2.25:

12 x 2.25 = 27

and

8 x 2.25 = 18

so...

5 x 2.25 =

11.25

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