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3 years ago

Select the correct answer. Which graph represents the solution to this inequality? A. B. C .

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

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Question 31 (5 points) Find the area of the shaded portion if we know the outer circle has a diameter of 4 m and the inner circl

Vadim26 [7]

The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:

A = Ao - Ai

Also, the area of each circle of radius r is given by:

π r²

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So, using r = d/2 in the above formula, we obtain:

π r² = π (d/2)² = (π/4) d²

Now, replacing each area with the corresponding diameter, we find:

A = Ao - Ai

= (π/4) 4² - (π/4) 1.5²

= (π/4) (4² - 1.5²)

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1 year ago

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Step-by-step explanation:

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I'm stuck on this question, any ideas? thanks

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Answer:

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Step-by-step explanation:

So we have the limit:

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Direct substitution:

$= \frac{-1}{(6+0)(6)}$

Simplify:

$=-1/36$

And that's our answer.

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