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3 years ago

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

Mathematics

1 answer:

Ahat [919]3 years ago

8 0

Answer:

$2 - i$

Step-by-step explanation:

Substitute i for x. Remeber i means imaginart number.

${i}^{3} - 2 {i}^{2}$

Use the Imaginary number exponents rules

${i}^{2} = - 1$

${i}^{3} = - i$

$i {}^{4} = 1$

Simplify the equation.

$- i - ( - 2)$

$- i + 2$

Write as a complex number in form a+bi

$2 - i$

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The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?

lys-0071 [83]

Answer:

156.86

Step-by-step explanation:

136.40 + 15% is 20.46 added to 136.40 is 156.86

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3 years ago

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can someone write a paragraph explaining in your own words how muscles and bones work together, PLEASEEEEEEEEEE

Alona [7]

You have to give me Brainly

Bones provide support for our bodies and help form our shape. Although they're very light, bones are strong enough to support our entire weight.

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3 years ago

Find the probability that a Type A bulb lasts at least 300 hours and a Type B bulb lasts at least 400 hours.

barxatty [35]

Answer:

$P(X>3)P(X>4)=(1-F_1(3))(1-F_2(4))$

Step-by-step explanation:

We require more information by I will explain in principle:

If Type A has at least 300 hours and Type B at least 400 hours.

$(X>3)(Y>4)=P(X>3)P(X>4)$

You need to determine the Probability density function of X and Y and then subtract 1 from both

$P(X>3)P(X>4)=(1-F_1(3))(1-F_2(4))$

This will give you the probability of the expression.

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4 years ago

If anyone can answer these I will love you forever (congruence and similarity)

avanturin [10]

Answer:

Step-by-step explanation:

1. Corresponding Angles

<1 and <5

<2 and <6

<3 and <7

<4 and <8

They are equal in measure because corresponding angles are always equal to each other which means that they are congruent.

2. Alternate Interior Angles

<3 and <6

<4 and <5

They are always equal to each other because alternate interior angles are always congruent.

3. They are alternate exterior angles which means that the angles are always congruent.

4. <8 will be 73 degrees which is the same as <4 because they are corresponding angles and they are always congruent.

5. Angle 6 will be 107 degrees because they are alternate interior angles and they are always congruent.

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3 years ago

Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Zinaida [17]

Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a first-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.

The rate of relationship A is given by the slope of the graph as follows:

$slope= \frac{6-3}{4-2} = \frac{3}{2} =1.5$

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

$slope= \frac{4.5-2.25}{6-3} = \frac{2.25}{3} =0.75$

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16

 $slope= \frac{9.6-4.8}{6-3} = \frac{4.8}{3} =1.6$

 For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2

 $slope= \frac{7.2-5.4}{4-3} = \frac{1.8}{1} =1.8$

For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9

 $slope= \frac{8.4-6.3}{4-3} = \frac{2.1}{1} =2.1$ 

Therefore, the table that could represent Relationship B is table A.

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4 years ago

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