Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.

1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.

Answer:

116

Step-by-step explanation:

Answer:

(- 3.5, 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then

midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )

Answer:

-

Step-by-step explanation:

Answer:

Answer is 68

y + 4 = 72

y = 68

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

Answer:

x = 8,  y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangles have sides in a ratio of 1 : [tex]\sqrt{3}[/tex] : 2

'x' would be half of 16, or 8

'y' would be x · √3, or 8[tex]\sqrt{3}[/tex]

Answer:

16265.27765

Step-by-step explanation:

3.5 percent of 16855.21 is 589.93235

16855.21-589.93235=16265.27765

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Answer:

The approximate probability that a random vehicle is a passenger car is 74.67%

Step-by-step explanation:

Probability

The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.

We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:

[tex]\displaystyle p=\frac{112}{150}[/tex]

p = 0.7467

p = 74.67%

The approximate probability that a random vehicle is a passenger car is 74.67%

Answer:

$1,849

Step-by-step explanation:

7,396/4=1,849

Answer:

x=1

2x+3=5

-3 -3

now the three gets canceled and 5-3 is 2

2x=2

now divide 2 on both sides

2x÷2=2÷2

x=1

2/3b + 19 = 35

          -19    -19

----------------------

2/3b  =  16

÷2/3    ÷2/3

----------------------

b  =  24

Answer:

Y=-3x+2

Step-by-step explanation:

Good luck!!!

Answer:

It is more likely she draws 2 red cards

Step-by-step explanation:

Given that:

Number of red d cards in deck = 26

Number of face cards = 4 * 3 = 12 face cards

If two cards are drawn with replacement ;

Probability = (required outcome / Total possible outcomes)

P(1st card red) = 26 /52) = 1/2

P(2nd card red) = 26 /52 = 1/2

P(1st card red) * P(2nd card red)

1/2 * 1/2 = 1/4 = 0.25

P(1st card face card) = 12/52 = 3/13

P(2nd card, face card) = 12/52 = 3/13

P(1st card face card) * P(2nd card face card)

3/13 * 3 /13 = 9/169 = 0.053

0.25 > 0.053

It is more likely she draws 2 red cards

Answer:

B. (8,4)

Step-by-step explanation:

To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).

Answer:

B. (8,4)

Step-by-step explanation:

We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.

There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!

Answer:

Step-by-step explanation:

Simplifying

2x + -8y = 56

Solving

2x + -8y = 56

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 56 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 56 + 8y

2x = 56 + 8y

Divide each side by '2'.

x = 28 + 4y

Simplifying

x = 28 + 4y

Answer:

20%

Step-by-step explanation:

20% of people were satisfied with the car.

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

Learn more about the function here:

brainly.com/question/5245372

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Answer:

Step-by-step explanation: the answer is b

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

Answer:

First, lets list them in order

84, 88, 90, 92, 96

Okay so the median is 90

the mean is 90 as well

Step-by-step explanation:

B. |x+20|=35

This is because 20 is the minimum time, so you have to add that to whatever x is. since x can be the minimum or maximum, this further proves this statement. You can also know this is correct because the final product (35) was the maximum time shown in the world problem

May I have brainliest please? :)

Answer:

8 quaters 3 nickels

Step-by-step explanation:

Answer:

C. (3,-2)

Step-by-step explanation:

Answer:

a) 2/5

b) 1/3

c) 3/10

Step-by-step explanation:

a)12;30

= 12/30

= 2/5

b)9;27

= 9/27

= 1/3

c) 15;50

= 15/50

= 3/10

Answer:

$42.50

Step-by-step explanation:

y = mx + b

x = how many videos you watched

y = 1.25(30) + 5.00 = 42.50

Answer:

-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10

Step-by-step explanation: