The solution to the following inequality:
-3(6-2g)>4g

Answers

Answer 1

Answer:

Solution: g > 9

Interval Notation: (9 , ∞)

Step-by-step explanation:

-3 * (6-2g) > 4g

-18 + 6g > 4g

6g - 4g > 18

2g > 18

g > 9


Related Questions

What is the value of x?
O
O x = 32
O x = 36
x = 37
(x + 15)

(4x - 20)
O x = 40

Answers

Answer:

x + (4x-20) = 180

by linear pair

therefore x= 70

Applying the definition of linear pair, the value of x is: D. 40.

What is a Linear PairA linear pair is a set of angles on a straight line.Straight line angle = 180 degrees.Linear pair of angles add up to 180 degrees.

Therefore:

x + (4x - 20°) = 180°

Solve for x

5x - 20 = 180

5x = 180 + 20

5x = 200

Divide both sides by 5

x = 40

Therefore, applying the definition of linear pair, the value of x is: D. 40.

Learn more about linear pair on:

https://brainly.com/question/13218054

Dose anyone know questions 2 and 3?

Answers

Answer:

Step-by-step explanation:

1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³

The cost increases by $1.50 for each additional toothbrush made.

Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.

please help! its my exam study guide and i need to finish it! ​

Answers

[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]

[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]

When you’re driving and your instructor tells you to do a shoulder check, do you look directly to the right and left or behind your shoulder

Answers

Answer:

If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.

subtract 19/12 - 3/4

Answers

◇Answer :

[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]

Answer:

[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]

Step-by-step explanation:

[tex] \frac{19}{12} - \frac{3}{4} [/tex]

[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]

[tex] = \frac{76}{48} - \frac{36}{48} [/tex]

[tex] = \frac{76 - 36}{48}[/tex]

[tex]= \frac{40}{48} [/tex]

[tex] = \frac{40 \div 8}{48 \div 8} [/tex]

[tex] = \frac{5}{6}[/tex]

the first person to get this right earns breainlesit!!!!!!!!
witch expressions are evculient to 4b?

Answers

Answer:

B,C,D,F, those are yhe right answer

How do I verify: tan(x)+cot(x)=(2)/sin(2x)?

I always get stuck after writing out (sin^2x+cos^2x)/sin(x)cos(x)

Answers

[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]

now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.

let's recall something else, that same/same = 1, so

[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]

therefore

[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]

Help please, help please

Answers

Answer:

i think the perimeter is 60

Step-by-step explanation:

9²+12² = x²

15 = x

perimeter = 15×4 = 60

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

The bisector of a given angle

Step-by-step explanation:

Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.

Use the distance to find the distance between the points A (-3,7 and B (-2,5).

Answers

Step-by-step explanation:

1 2 3 4 5

wa

Help help help math math

Answers

Answer:

Slope = 4

Step-by-step explanation:

Change in Y = 4

Change in X = 1

Slope = Δy/Δx = 4/1 = 4

The perimeter of the equilateral triangle drawn below is 9b + 12.

The shape below is made of four of these triangles.

Find a simplified expression for its perimeter.

Answers

Not sure but 4(9b+12)= 36b+48
An equilateral triangle has 3 equal sides
If the perimeter of a triangle is 9b+12 then one side equals 3b+4 (divide by 3 because there are 3 sides

In the big triangle there are 6 sides so multiply 3b+4 by 6
=18b+24

Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now

Answers

To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.

The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.

eight years ago = x - 8

Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.

Now, putting this all together gives us our first equation:

x - 8 = 6(y - 8)

We can now rewrite this equation in standard form:

x - 8 = 6y - 48 ----->

x - 6y = -48 + 8 ----->

x - 6y = -40 <----- this is our first linear equation

To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:

x + 12 = 2(y + 12)

Now, we need to rewrite this equation in standard form:

x + 12 = 2y + 24 ----->

x - 2y = 24 - 12 ----->

x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:

x - 6y = -40

x - 2y = 12

Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:

x - 6y = -40

-x + 2y = -12

Now we can add both equations together:

x - x - 6y + 2y = -40 + -12 ----->

-4y = -52

Solve for y, by dividing both sides of the equation by -4, giving us:

y = 13

So, now we know the son's age: 13

To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:

x - 6(13) = -40 ----->

x - 78 = -40 ----->

x = 78 - 40 ----->

x = 38

Therefore, Mr. Fontana is 38 years old and his son is 13 years old.

find the area of a square park whose perimeter is 400m​

Answers

Answer: 1600m^2

Its a square so all sides are equal. So...

400m * 400m

= 1600m^2

Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.

Unit 7 Algebra 2a sample work connections academy

Answers

The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]  

The graph is an exponential function, and it passes through the points:

[tex](x,y) = (1,1)\ (0,2)[/tex]

An exponential function is represented with:

[tex]y = ab^x[/tex]

At (0,2), we have:

[tex]ab^0 = 2[/tex]

This gives

[tex]a(1) = 2[/tex]

[tex]a = 2[/tex]

At (1,1), we have:

[tex]ab^1 = 1[/tex]

[tex]ab = 1[/tex]

Substitute 2 for (a)

[tex]2b = 1[/tex]

Divide both sides by 2

[tex]b = \frac 12[/tex]

Substitute values for a and b in [tex]y = ab^x[/tex]

[tex]y = 2(\frac 12)^x[/tex]

Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]

Read more about exponential functions at:

https://brainly.com/question/19704059

Please look for the question in the picture.

Answers

Answer: The blue dot's value on the number line is 1.

Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.

The answer is 1. There is a difference of 4 between -7 and -3 when passing two marks on the line. Since the ? is two more marks on the line, just add -3+4. That =1.

Ricky ran 3/4 of a mile in 1/12 of an hour. What was Ricky´s average speed?

Answers

Answer: 9

Step-by-step explanation:

3/4mile takes 1/12 hours

so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour

Answer:

3/2 miles per hour

Step-by-step explanation:

To find his average speed, divide 3/4 mile by 1/2 hour:

 3        2

----- *  ------ = 3/2 miles per hour

 4         1

A car traveling at 48 mph overtakes a cyclist who is riding at 16mph had a 3 hour head start how far from the starting point does the car overtake the cyclist?

Answers

The car overtakes the cyclist at a distance of 72 miles from the starting point.

,Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let the car overtake the cyclist at distance d and time t.

For the car:

48 = d / t

d = 48t

For the cyclist:

16 = d / (t + 3)

d = 16t + 48

48t = 16t + 48

32t = 48

t = 1.5 hours

d = 48(1.5) = 72 miles

The car overtakes the cyclist at a distance of 72 miles from the starting point.

Find out more on speed at: https://brainly.com/question/3004254

A car travels 18 miles on a gallon of gas. The car used 65 gallons of gas last week.compute the number of miles the car traveled?

Answers

Answer:  1170 miles

Work Shown:

(18 miles)/(1 gallon) = (x miles)/(65 gallons)

18/1 = x/65

x/65 = 18

x = 65*18

x = 1170

Answer: 1170 miles

1 gallon of gas --> 18 miles

65 gallon of gas --> 18 * 65 (which is 1170 miles)

How do you factor x2 + 2xy + y2 -2^4

Answers

Answer:

try this answer x2 + 2xy + y2 - 16

Answer each question and round your answer to the nearest whole number
A model power plant has a scale of 2 cm: 4 m. If the model power plant is 6 cm tall,
then how tall is the real power plant?
3 m
O 12 m
2 m
O 10 m

Answers

O 12 m is the answer hope your answers go good

Help help help help help math math

Answers

Step-by-step explanation:

again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.

therefore, both angles must be identical

3x + 2 = 2x + 6

x = 4

Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?​

Answers

Answer:

a. about 8.3%

b. 2.172 m

Step-by-step explanation:

a. 1.81 * x = 1.96

x = 1.083

Percent increase is approximately 8.3%

b. 1.81 * 1.2 = x

x = 2.172 m


Serena is driving to the mountains for a summer
camping trip. She is traveling at a constant rate of 45
miles per hour. The graph shows the ratio time:
distance. How far has Serena traveled after 4 hours?

Answers

she travels 180 miles after 4 hours

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

Please Guyz I Want Full Solved Not Just Answer Please ​​

Answers

Answer:

50 cm

Step-by-step explanation:

let x be the heigth we are looking for.

Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]

Since it's a cuboid, we assume opposite sides are equal.

So each rectangle is counted twice:

[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]

Now, we just isolate x:

[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]

Answer:50 cm

Write g(x)=40x+4x2 in vertex form

Answers

G(x)=40x+4x2= -100 the vertex form is (-5,-100)


Find the slope of the line. Describe how one variable changes in relation to the other.
A. 2/3; the amount of water increases by 2 gallons every 3 min
B. -2/3; the amount of water decreases by 2 gallons every 3 min
C. -3/2; the amount of water decreases by 3 gallons every 2 min
D. -1; the amount of water decreases by 1 gallon every minute

Answers

Answer:

D. -1 the amount of water decreases by 1 gallon every minute.

Step-by-step explanation:

15, 0 -> 12, 3  

3 - 0 = 3  

-------

12 - 15 = -3

3/ -3 = -1

40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5

Answers

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

=64

f(3)=2.5×3-10.5

=7.5-10.5

=-3

g(3)=64(0.5×3)

=64×1.5

=96

f(4)=2.5×4-10.5

=10-10.5

=-500

g(4)=64(0.5×4)

=64×2

=128

f(5)=2.5×5-10.5

=12.5-10.5

=2

g(5)=64(0.5×5)

=64×2.5

=150

I think it is the processs It will help you

WILL GIVE BRAINLIEST

Answers

Answer:

the y intercept is 5/3

the y intercept is 3/5

John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the maximum number of bags he can make?

Answers

The maximum number of bags is an illustration of the greatest common factor

The maximum number of bags John can make is 8

The given parameters are:

[tex]Chocolate=48[/tex]

[tex]Peanut=56[/tex]

Start by expressing 48 and 56 as a product of their factors.

[tex]Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3[/tex]

[tex]Peanut = 1 \times 2 \times 2 \times 2 \times 7[/tex]

The product of the common factors between the above products is:

[tex]Factors = 1 \times 2 \times 2 \times 2[/tex]

Multiply

[tex]Factors = 8[/tex]

The above represents the greatest common factor of 48 and 56.

Hence, the maximum number of bags John can make is 8

Read more about greatest common factor at:

https://brainly.com/question/219464

Step-by-step explanation:

To determine the maximum number of bags John can make, we need to find the greatest common divisor (GCD) of the two quantities: 48 chocolate chip cookies and 56 peanut butter cookies.

The GCD is the largest number that divides both quantities without leaving a remainder. It represents the maximum number of bags that can be made, with each bag containing an equal number of cookies of each type.

Let's find the GCD of 48 and 56:

Step 1: List the divisors of each number:

Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Step 2: Identify the common divisors in both lists:

Common divisors of 48 and 56: 1, 2, 4, 8

Step 3: Determine the greatest common divisor (GCD):

The greatest common divisor of 48 and 56 is 8.

So, John can make a maximum of 8 bags, with each bag containing an equal number of chocolate chip and peanut butter cookies.

PLEASE MARK AS BRAINLIEST IF SATISFIED WITH THIS ANSWER PLEASE

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