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suter [353]
3 years ago
10

Add. Express your answer in standard form. (−3+5i)+(6+2i). Enter your answer in the box.

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.

So, the real part of this sum is the sum of the real parts:

-3+6=3

And the imaginary part of this sum is the sum of the imaginary parts:

5i+2i=7i

So, you have

(-3+5i)+(6+2i) = 3+7i

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An item on sale costs 80% of the original price. The original price was $22.
sergejj [24]

Answer:

17.6

Step-by-step explanation:

22 x .80 =17.6

17.6 is 80% of 22 so that would be your answer

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Five less than one fourth of x is y written out
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1/4x - 5= y
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soln,

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Alicia has five times as many dimes as she has quarters. Combined the dimes and quarters total to $9.75. How many dimes does Ali
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3 0
2 years ago
Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.
Digiron [165]

Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

To solve this problem we must factor the expression that is shown in the denominator of the inequality.

So, we have:

x ^ 2-1 = 0\\x ^ 2 = 1

So the roots are:

x = 1\\x = -1

Therefore we can write the expression in the following way:

x ^ 2-1 = (x-1)(x + 1)

Now the expression is as follows:

\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0

Now we use the study of signs to solve this inequality.

We have 3 roots for the polynomials that make up the expression:

x = 1\\x = -1\\x = 2

We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

Note that:

(x-1)\geq0 when x\geq-1

(x + 1)\geq0 when x\geq1

and

(x-2) ^ 2 is always \geq0

Finally after the study of signs we can reach the conclusion that:

x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)

This is the same as

x ∈ (-∞, -1) ∪ (1, ∞)

6 0
3 years ago
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