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.

9514 1404 393

Explanation:

1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."

  If it is broccoli, then it is a vegetable.

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2. The hypothesis is the "if-" part:

  (If) it is broccoli

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3. The conclusion is the "then-" part:

  (then) it is a vegetable

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4. The converse interchanges the hypothesis and conclusion:

  If it is a vegetable, then it is broccoli.

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5. The converse is false. A potato is a vegetable, but is not broccoli.

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6. The inverse negates the hypothesis and conclusion:

 If it is not broccoli, it is not a vegetable.

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7. The inverse is false. A potato is not broccoli, but is a vegetable.

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8. The contrapositive is the inverse of the converse:

  If it is not a vegetable, it is not broccoli.

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9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.

Answer:

d should be correct

Step-by-step explanation:

prove me wrong

Answer:

hope it helps

Step-by-step explanation:

...........

Answer Im going to geuss the last, Im not sure but it looks right.

Step-by-step explanation: heres my question-->  https://brainly.com/question/20473783

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation:

Answer:

(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Answer:

The coordinates would be (3,7)

The Pythagoras Theorem:

the base squared and height squared added is equal to the hypotenuse squared.

so

(x+6)² + (x+3)²= (x+9)²

x²+36+12x+x²+9+6x = (x+9)²

2x²+45+18x=x²+81+18x

x²=36

x=√36

X= 6

now

(x+6)= 12

(x+3)=9

(x+9)=15

haha sorry correct it pls

The answer is 6+(-4) = 2

Answer:

2

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

Answer:

hii

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

i took the quiz

The slope is equal to 5/2.

Answer:

70

Step-by-step explanation:

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

Answer:

D) 4

Step-by-step explanation:

Answer:

2 hours and 40 mins i think

Step-by-step explanation:

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

25 times .36 is 9!

I hope this helps!

Answer:

36% x 25= 9

9 students ate hotdogs

Step-by-step explanation:

just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25

Answer:

B. 143

Step-by-step explanation:

Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.

Given:

Current population = x

The population of a city is expected to decrease by 6% next year.

To find:

The expression that represents the expected population next year. ​

Solution:

We have,

Current population = x

Decrease rate = 6%.

Expected population next year = Current population - 6% of Current population

                                                    =[tex]x-\dfrac{6}{100}x[/tex]

                                                    =[tex]x-0.06x[/tex]

                                                    =[tex]0.94x[/tex]

Therefore, the expression for the expected population next year is 0.94x.

Answer:

Step-by-step explanation:

Answer: 30 cm

Step-by-step explanation: Take note that ^2 means to the second power.

a^2 + b^2 = c^2 (hypotenuse)

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

To find the length of c you have to find teh square root of 900.

√c^2 = √900

c = 30

The length of the hypotenuse is 30 cm!

Hope this helped!

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

Answer:

apples: 6/8 = $0.75 per apple

pears: 1.25/1 = $1.25 per pear

peaches: 1.50/1 = $1.50 per peach

bananas: 4/6 = $0.67 per banana

"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.

Step-by-step explanation:

I hope this helps :)

Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation: