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Irina-Kira [14]
1 year ago
7

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33?

Mathematics
1 answer:
alexgriva [62]1 year ago
3 0

An equivalent form of the compound inequality −22 > −5x − 7 ≥ −33 will be −5x − 7 > −22 and −5x − 7 ≥ −33

<h3>Compound inequality</h3>

A compound inequality (or combined inequality ) is two or more inequalities joined together with inequality operations.

Given the compound inequality −22 > −5x − 7 ≥ −33, this can also be splitted into;

−22 > −5x − 7 and  −5x − 7 ≥ −33,

The inequality expression  −22 > −5x − 7 is also expressed as  −5x − 7 > -22. Hence an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33 will be −5x − 7 > −22 and −5x − 7 ≥ −33

Learn more on compound inequality here: brainly.com/question/1485879

#SPJ1

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Write the standard equation for the circle center (-6,8) that passes through (0,0)
Reil [10]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = \sqrt{(0+6)^2+(0+8)^2} = \sqrt{36+64} = \sqrt{100} = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

4 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
Blababa [14]

Answer:

  • <u><em>Option A. F  T  →  F</em></u>

Explanation:

A conditional is represented by:

  • p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

<u>1. State the antecedent of the conditional and is truth value</u>

  • Antecedent: 6 > 10
  • Truth value: False, because 6 is not greater than 10.

<u>2. State the consequent of the conditional and its truh value</u>

  • 8 • 3 = 24
  • Truth value: True, because 8 times 3 is 24.

<u>3. Truth value of the conditional</u>

Hence, the truth value of the conditional is:

  • False      Truth        →     Truth, or
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Which is the option A.

6 0
3 years ago
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Digiron [165]

The decimal number is 0.9

3 0
3 years ago
+<br> What is the answer
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The answer is edition
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3 years ago
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JulsSmile [24]

Answer:

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Step-by-step explanation:

6q minus a is 5 q so then it would equal 5q+9

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3 years ago
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