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Paraphin [41]
3 years ago
12

If f(x) = x^3 – 2x^2, which expression is equivalent to f(i)?

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
F(x) = x³ - 2x².

f(i) = i³ - 2i².

i = √-1.

i³ = (√-1)³ = √-1 * √-1 *√-1 = -1*√-1 = -√-1 = -i

i² = (√-1)² = √-1 * √-1  = -1

f(i) = i³ - 2i²  = -i - 2(-1) = -i + 2

f(i) = 2 - i
arsen [322]3 years ago
6 0
I=√-1 and all the steps are there

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Use the frequency distribution, which shows the number of American voters (in millions) according to age, to
a_sh-v [17]

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages                Frequency

18 to 20             4.2

21 to 24             7.8

25 to 34           20.8

35 to 44           23.7

45 to 64           50.1

<u>65 and over       28.2</u>

<u>∑                        134.8</u>

The probability of an event is given by the occurrence of an event by the total occurrences .

So

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

7 0
3 years ago
a bell tolls every 10 minutes. another bell tolls every 15 minutes. both bells toll at 6:00pm. they will toll together at what t
Ne4ueva [31]
Basically, we need to find the lowest common multiple of 10 and 15.

that multiply would be 30. That means that the bells will ring together in 30 minutes.
So 30 minutes from 6 p.m. is 6:30 p.m. <==
4 0
3 years ago
Read 2 more answers
An area of 4 square yards is equal to 36 square feet. 10 square yards is equal to how many square feet? sq feet
lora16 [44]

Answer: 90 square feet

Step-by-step explanation:

5 0
3 years ago
Math problem please help
PolarNik [594]

Step-by-step explanation:

Equations:

68.75 = 0.5c + 1.25m

c + m = 100

First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.

c + m = 100 to c = -m + 100

(it doesn't matter which variable)

Next, since we have what variable <em>c </em>is equal to, we will now incorporate it into our more complex equation.

68.75 = 0.5(-m + 100) + 1.25 m

Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being <em>m.</em>

68.75 = -0.5m + 50 + 1.25m

Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.

68.75 = 0.75m + 50

Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.

118.75 = 0.75m

Now, we just need to make the variable equal to 1 (or just <em>m</em>). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.

118.75 x 0.75 = 0.75m

So, after this step, you should have an answer of;

89.0625

However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).

*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.

From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!

7 0
2 years ago
HELP Me PLEASE BUT I JUST NEED THE ANSWER AND I hAVE 35MORE QUESTINS
iren [92.7K]
<h2>Answer:</h2>

<u>The length is</u><u> 12 feet</u>

<h2>Step-by-step explanation:</h2>

The width of the garden is 5 feet

After that the total edging is telling us the area

We know that

<h3>Area of rectangle = length x width</h3>

So

60 = length x 5

Length = 60 / 5

Length = 12 feet

6 0
3 years ago
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