What is the solution set for 4x - 6 < 6? {x:x > 3}

{x:x < 3}

{x:x < -1}

{x:x >_ 3}

Answers

Answer 1
Answer:

Given : 4x - 6 < 6

⇒ 4x < 6 + 6

⇒ 4x < 12

⇒ x < 3

⇒ The Solution set is {x : x < 3}


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A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes to help the public schools. The opinion poll recently sampled 1500 voting age citizens. 622 of the sampled citizens were in favor of an increase in taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than 66%. At what level of significance will the null hypothesis not be rejected?

Three teams, A, B and C, play in a competition.games won by A: games won by B = 3:1
games won by B: games won by C = 4:3
Team B has won 8 games.
In total, how many games have the three teams won?

Answers

Answer:

A = 24

B = 8

C = 6

Step-by-step explanation:

4:3 from B:C

8:6

8 games won by B and 6 games won by C.

3:1 from A:B

24:8

24 by A and 8 by B

Final answer:

Team A won 24 games, Team B won 8 games and Team C won 6 games. So, the total games won by all three teams is 38.

Explanation:

From the problem, we know that the ratio of games won by Team A to Team B is 3:1, and the ratio of games won by Team B to Team C is 4:3. We also know that Team B has won 8 games.

Since the ratio of Team B to Team A is 1:3, Team A must have won 3 times as many games as Team B. Therefore, Team A has won 3 * 8 = 24 games.

The ratio of games won by Team B to Team C is 4:3. This means Team B won 4 games for every 3 games Team C won. Since Team B won 8 games, Team C must have won 3/4 as many games as Team B. Therefore, Team C won 3/4 * 8 = 6 games.

So, in total, the three teams won 24 + 8 + 6 = 38 games.

Learn more about Ratio here:

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Evaluate: 2! + (8 - 3)!

Answers

Answer:

122

Step-by-step explanation:

2! = 2

(8-3)! =

(5)! = 120

2+120 =122

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.y = 3x

Answers

Answer:

The derivative of the function is 3.

Step-by-step explanation:

The derivative of a*x^(n) is a*n*x^(n-1). The derivative of 20x is 20, for example. The derivative of 40x^(4) is 160x^(3).

In this problem

It aks the derivative of a function, which is 3x. Applying the rule that is explained above, we have that the derivative of 3x is 3.

So the derivative of the function is 3.

What is the probability of the next car being silver.

Answers

Answer:

40%

Step-by-step explanation:

11+24+16+9=60

24/60=2/5

.40

40%

Solve x -2/3(3x - 4) + 3x = 5/6 is x -19/6, 11/6, 21/6, 29/6

Answers

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

x = -11/12

Answer:

- 11/6

Step-by-step explanation:

a car travels 27 miles on each gallon of gas. How many miles can the car travel on 8 1/3 gallons of gas

Answers

Basically, we're multiplying 27 by 8 1/3.

1. 27 = 27/1
2. 8 1/3 = 8 * 3 = 24 + 1 = 25/3
3.27/1 * 25/3 = 27 * 25 = 675/3
4.675 divided by 3 = 225

Answer: 225 miles.