Someone please help me

-3 is the value of x in the solution set of inequality 2(3x-1)≥4x-6

The given inequality is 2(3x-1)≥4x-6

We have to find the solution set of the inequality.

Let us plug in x value as 10.

2(3(-10)-1)≥4(-10)-6

2(-30-1)≥-40-6

-62≥-46

It is not true so -10 is not the solution of given inequality.

Now plug in -5.

2(3(-5)-1)≥4(-5)-6

2(-16)≥-20-6

-32≥-26

It is not true so -5 is not the solution of given inequality.

Now plug in -3.

2(3(-3)-1)≥4(-3)-6

2(-10)≥-12-6

-20≥-18

It is not true so -3 is not the solution of given inequality.

Now plug in -1

2(-3-1)≥-4-6

-8≥-10

It is true

So -3 is the value of x in the solution set of inequality 2(3x-1)≥4x-6.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ7

1. The outcomes in the sample space of this chance experiment can be listed as follows:

For the first letter (from the word SAMPLE):S, A, M, P, L, and E.

For the second letter (from the word SPACE):S, P, A,C, and E.

2. The sample space has a total of 6 × 5 = 30 outcomes.

c. The probability that the letters chosen are AA is 1/30.

In order to determine the number of outcomes in the sample space, we multiply the number of outcomes for the first letter (6) by the number of outcomes for the second letter (5).

Therefore, the sample space has a total of 6 × 5 = 30 outcomes.

The probability of choosing the letters AA can be found by considering the favorable outcome (AA) and dividing it by the total number of outcomes in the sample space. In this case, there is only one favorable outcome (AA) and a total of 30 outcomes in the sample space. Therefore, the probability is 1/30.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

Answer:  m = 3 , b = -2

Step-by-step explanation:

y = 3x - 2, we found out m and b by using the form y = mx + b, where m is the number in front of x.

Therefore we found out that m is 3, b is -2.

In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

To calculate the time standard in minutes per piece (before allowances), we need to consider the production rate, the number of machines, and the number of operators.

Given that 9 machines are producing 564 pieces per hour, we can calculate the production rate per machine by dividing the total production rate by the number of machines:

Production rate per machine = Total production rate / Number of machines

In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

Next, we need to factor in the number of operators required. Since 3 operators are required, the time standard per piece can be calculated by dividing the production time by the number of pieces:

Time standard per piece = (60 minutes / Production rate per machine) / Number of operators

By plug in the given values into the formula and performing the calculation, we can determine the time standard in minutes per piece before allowances.

Learn more about plug here

brainly.com/question/30262705

#SPJ11

The value of a is 1/64.

The rules of the exponent are

(a) \(a^m*a^n=a^{m+n\)

(b)\(a^m/a^n=a^{m-n\)

(c)\((a^b)^c=a^{bc}\)

(d) \(\sqrt[n]{a}=a^{1/n\)

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

Learn more about the exponent

here: https://brainly.com/question/535578

#SPJ10

ans=y=8

\( \frac{change \: in \: y}{change \: in \: x?} \)

8-8=0

-7--9=2

hence the gradient is 0÷2=0

gradient(0)=

\( \frac{y - 8}{x - - 9?} \)

so..,0=y-8

hence the equation is y=8

the answer is 15cm (pls mark brainlest)

Answer:

3:40

Step-by-step explanation:

We need both measurements in the same units.

1 m = 100 cm

2 m = 2 × 1 m = 2 × 100 cm = 200 cm

15 cm to 2 m = 15 cm to 200 m

Divide both numbers in the ratio by 5 cm.

15 cm to 200 cm = 3:40

Answer:

first function:

\( f(x) = \dfrac{2 - 10}{2 - 0} x + 10 = \\ - 4x + 10\)

second one:

\(g(x) = \cfrac{ - 4 - 2}{2 - 0} x + 2 = \\ - 3x + 2\)

now the intersection:

-4x+10=-3x+2

x=8

then y

y = -4×8+10 = -22

so it's

(8,-22)

Answer:

3.82362

rounded: 3.82

Step-by-step explanation:

Answer:

D. <15/√346>

Have a nice day! :)

Answer: Mary washes her dishes faster

The degree of the quadratic equation is 2. The equation of quadratic equation is x² - 6x + 4 =0.

What is the root of an equation?

A variable's value for which LHS = RHS is the root or solution of a simple equation.

Given that the quadratic equation whose roots are 3+√5 and 3-√5.

The number of roots of a quadratic equation is 2.

If a and b are two roots of a quadratic equation, then the equation of the quadratic equation is (x-a)(x-b) = 0.

Thus the equation of the quadratic equation is:

[x - (3+√5)][x - (3-√5)] = 0

[x - 3+√5][x - 3-√5] = 0

[(x - 3)+√5][(x - 3) -√5] = 0

Applying the formula (a+b) (a-b) = a² - b²:

(x - 3)² - (√5)² = 0

Now applying the algebraic formula (a-b)² =a² - 2ab +b²

x² - 6x + 9 - 5 =0

x² - 6x + 4 =0

To learn more about quadratic equation, click on the below link:

https://brainly.com/question/23129662

#SPJ1

15. If your car traveled 6.05 miles in 5.75 minutes and you continue driving at the same pace, it will take approximately 262.17 minutes to drive 246 miles.

16. The volume of the gold nugget with a mass of 21.75 g and a density of 19.32 g/mL is approximately 1.125 mL.

15. Using the given information, we can set up a proportion to find the time it will take to drive 246 miles. The proportion can be set up as: (6.05 miles / 5.75 minutes) = (246 miles / x minutes), where x represents the unknown time. Cross-multiplying and solving for x, we find that x ≈ 262.17 minutes. Therefore, it will take approximately 262.17 minutes to drive 246 miles at the same pace.

16. To calculate the volume of the gold nugget, we can use the formula: volume = mass / density. Plugging in the given values, we get: volume = 21.75 g / 19.32 g/mL. Performing the division, we find that the volume is approximately 1.125 mL. Therefore, the volume of the gold nugget is approximately 1.125 mL.

Learn more about proportion here:

https://brainly.com/question/33460130

#SPJ11

The base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.

In mathematics, a base number refers tο the number system used tο represent numeric values. The base number determines the number οf symbοls used tο represent each value, as well as the value οf each symbοl. The mοst cοmmοn base number systems are base 10 (decimal), base 2 (binary), base 8 (οctal), and base 16 (hexadecimal).

In base 10, we use 10 digits (0-9) tο represent all pοssible values. In binary, we use οnly twο digits (0 and 1) tο represent values. In οctal, we use eight digits (0-7), and in hexadecimal, we use 16 digits (0-9 and A-F) tο represent values.

Fοr example, the decimal number 125 can be represented in base 2 as 1111101, in base 8 as 175, and in base 16 as 7D.

Cοnverting a number frοm οne base tο anοther invοlves dividing the number by the base and repeatedly finding the remainder until the quοtient becοmes zerο. The remainders, read frοm bοttοm tο tοp, represent the digits οf the new number in the new base.

Tο cοnvert a number in base 3 tο base 10, we need tο multiply each digit οf the number by the cοrrespοnding pοwer οf 3, and then sum up the prοducts.

Starting frοm the rightmοst digit οf the number, the pοwers οf 3 increase by 1 fοr each digit tο the left. Sο, fοr the number 1406 (3 at the bοttοm), we have:

1 × 3⁰ + 0 × 3¹ + 4 × 3² + 1 × 3³ = 1 + 0 + 36 + 81 = 118

Therefοre, the base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.

To know more about hexadecimal visit:

brainly.com/question/14469242

#SPJ9

Answer:

<UOX and <YOZ

Step-by-step explanation:

Adjacent angles are angles that share a common side and vertex. So, find the angles that share one side. In this case, the two sides of the angle <XOY are OX and YO. Remember when naming an angle that it should be one side, the vertex, the last side. So, the 2 adjacent angles are <UOX and <YOZ because they each share one common side and vertex.

The steps in correct order are:

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the Quadratic Equation: (x-7)² = -20.

Now, to solve the equation further then first we have to remove the square and make equation linear.

Taking roots on both side we get

x- 7 = ±√(-20)

x - 7= ±i√20

x- 7 = ±2i √ 5

Now, add 7 both side

x - 7+ 7 = 2i √ 5 + 7 or x - 7+ 7 = -2i √ 5 + 7

x = 2i √ 5 + 7 or  x =  7 - 2i √ 5

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ1

Answer:

37 students in each bus so 111 students went on the bus

Step-by-step explanation:

6 students went on the bus so 117 - 6 = 111 there are 3 buses so 111 / 3 = 37 so 37 students per bus

Answer:

8.3 miles

Step-by-step explanation:

In 3 hrs he can walk=5 miles

In an hour he can walk=5/3miles

=1.66 miles

In 5 hours he can walk=1.66*5miles

=8.3 miles

Hope this helps

Answer: Option (2)

Step-by-step explanation:

The inverse of a function swaps the domain and range.

The inverse of the function h(x) is

B. h'(x) = ((-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Option B is the correct answer.

We have,

The function h(x) is given as:

h(x) = {(3, -5), (5, -7), (6, -9), (10, -12), (12, -16)}

To find h¹(x) (the inverse of h(x)), we need to swap the x and y values in each ordered pair.

The inverse function will have the y-values of h(x) as the x-values, and the x-values of h(x) as the y-values.

So,

h¹(x) would be:

h¹(x) = {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Thus,

The inverse of the function h(x) is

B. h'(x) = ((-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

I think it would be the addition property of equality

Step-by-step explanation:

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

Learn more about outcomes here:

https://brainly.com/question/17238771

#SPJ11

what is the question your trying to find, if you could repile to this so I can try to figure it out. (I'll be heading off soon)

The solution to the given linear system of equations 8a - 4b = 52 and 5a - 8b = 60 is a = 9 and b = 5.

Given the system of equations in the question:

To solve the linear system of equations using substitution, we can solve one equation for one variable and substitute it into the other equation.

First, solve the first equation for 'a' in the first equation:

8a - 4b = 52

8a = 4b + 52

a = b/2 + 13/2

Now, plug a = b/2 + 13/2 into the second equation:

5( b/2 + 13/2 ) - 8b = 60

5b/2 + 65/2 - 8b = 60

Solve for b

5b/2 - 8b = 60 - 65/2

-11b/2 = 55/2

-11b/2 × -2/11 = 55/2 × -2/11

b = 55/2 × -2/11

b = -5

Now, plug b = -5 into the second equation and solve for a:

5a - 8( -5 ) = 60

5a + 40 = 60

5a = 60 - 40

5a = 20

a = 20/5

a = 4

Therefore, the value of a is 4 and the value of b is -5.

Learn more about system of equations here: brainly.com/question/30319215

#SPJ1

Answer:

A. (-2,0)

Step-by-step explanation:

plz give me brainliest i promise u its right

have a good day! :)

Answer:

Option A, x = -2, y = 0

Step-by-step explanation:

2x + 3y = -4

2x +3(2x + 4) = -4

2x + 6x + 12 = -4

8x + 12= -4

8x = -4-12

8x = -16

x = -2

Plug x as -2 in one of the equation

y = 2x + 4

y = 2(-2) + 4

y = -4 + 4

y = 0

Answer:

you can go on a maximum of 11 rides

Step-by-step explanation:

you first have to subtract 30 from 100 since that is the admissons fee.

So now you are left with 70 dollars.

You divide 70 by 6 since you need 6 dollars to go on each ride.

and 70 divided by 6 is 11.6666666667 but round it to 11 since that the whole number you're left with.

hope this helped :)

Answer:

1000

Step-by-step explanation:

Answer:

12.6 sq. inches.

Step-by-step explanation:

I got this right on a test.

Answer:

12.6

Step-by-step explanation:

I got it right on the test

Step-by-step explanation:

\( \frac{7}{25} \times 64.50 = 230.35714286\)

Answer:

y = 7

Step-by-step explanation:

See the picture below.

12/6=2

cost/item=cost per item

6/2=3

tennis balls/ number of packs

2x3=6

1 pack of tennis ball is 6 dollars

and one tennis ball is two dollars

The 1 pack of tennis balls cost 1 dollar while the  1 tennis ball cost 2 dollars.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Melissa buys 2 packs of tennis balls for $12 in total. Altogether, there are 6 tennis balls.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The cost of one pack of the tennis ball is,

=12/2

=6

1 pack of a tennis ball is 6 dollars

If there are 6 tennis balls in two packs, one pack of tennis balls have

=6/2

=3

Thus, 1 pack of tennis balls costs 1 dollar while 1 tennis ball cost 2 dollars.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2