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vredina [299]
4 years ago
14

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

Mathematics
2 answers:
creativ13 [48]4 years ago
8 0

<u>Answer</u>

d) 2 – i


<u>Explanation</u>

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

          i² =(√-1)(√-1) =  -1

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

f(x) = x³ – 2x²

f(i) = i³ – 2i²

     = -i – 2(-1)

     = -i + 2

      = 2 – i


alekssr [168]4 years ago
4 0

Answer:

f(i)=2-i

d is the correct option.

Step-by-step explanation:

The given function is f(x)=x^3-2x^2

Substitute x = i, to find f(i)

f(i)=i^3-2(i)^2

We can rewrite this as

f(i)=i^2\cdot i-2(i)^2

Now, we know that i^2=-1. Thus, we have

f(i)=(-1)\cdot i-2(-1)

On simplifying, we get

f(i)=-i+2\\\\f(i)=2-i

d is the correct option.

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charle [14.2K]

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

7 0
3 years ago
Read 2 more answers
Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
hoa [83]

Answer:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

Step-by-step explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes  earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

You get the system of two equations:

\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.

From the first equation:

x=60-y

Substitute it into the second equation:

1.55(60-y)+1.40y=88.20\\ \\93-1.55y+1.4y=88.2\\ \\-0.15y=88.2-93\\ \\-0.15y=-4.8\\ \\0.15y=4.8\\ \\15y=480\\ \\y=32\\ \\x=60-32=28

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

8 0
3 years ago
3.
Fudgin [204]

40% means "40 out of 100"

    40 ÷ 100 = 0.40

So, 40% = 0.40 as a decimal

6 0
3 years ago
How to write a fraction into a decimal
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Just divide the top of the fraction by the bottom, and read off the answer!
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3 years ago
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Mario's car cost $15,999. Each year the car's value decreases by $1,550. This relationship is described by the equation V = 15,9
dedylja [7]

The value of Mario's car after 5 years is $8,249.

<h3>What is the value of the car after 5 years?</h3>

Deprecation is when the value of an asset declines with the passage of time as a result of wear and tear.

V = 15,999 − 1,550t

V = 15,999 − 1,550(5)

V = 15,999 - 7,750

V =$8,249

To learn more about depreciation, please check: brainly.com/question/25552427

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5 0
3 years ago
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