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3 years ago

Simplify: 12 + (-38) + 27

Mathematics

2 answers:

DedPeter [7]3 years ago

6 0

Answer:

12+(-38)+27= 1

Step-by-step explanation:

When a positive is multiplied by a negative, the sign becomes negative. Therefore, 12+(-38) becomes 12-38. So 12-38+27= 1.

BlackZzzverrR [31]3 years ago

5 0

Answer:

Step-by-step explanation:

For this problem, the negative sign on the 38 stays. You can remove the parentheses and addition sign and subtract 38 from 12.

12 + (-38) + 27

12 - 38 + 27

-26 + 27

If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).

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Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2

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The function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

From the graph, we have the following highlights

The graph crosses the x-axis at x = -1 and x = 3
The graph touches the x-axis at x = -2

The above highlights mean that:

The function has a multiplicity of 1 at x = -1 and x = 3
The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

$f(x) =a(x + 2)^2(x + 1)(x - 3)$

Assume a = 1.

So, we have:

$f(x) =1(x + 2)^2(x + 1)(x - 3)$

Multiply

$f(x) =(x + 2)^2(x + 1)(x - 3)$

Hence, the function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

Read more about polynomial graphs at:

brainly.com/question/8878887

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3 years ago

Solve the following inequality algebraically. ∣x−5∣≤11

Serga [27]

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

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3 years ago