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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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No links please. Fill in the blanks. 67ns=[?]x10^[?]s

cluponka [151]

Using scientific notation, it is found that:

67 ns = $6.7 \times 10^{-8}$ s

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

In this problem, the amount is of 67 ns.

Each ns has $10^{-9}$ seconds, hence:

$67ns = 67 \times 10^{-9}s$

We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:

67 ns = $6.7 \times 10^{-8}$ s

You can learn more about scientific notation at brainly.com/question/16394306

7 0

2 years ago

Cassie has test grades of 71, 78 and 83 on the first three tests in her

Neporo4naja [7]

Answer:

x ≥ 88

Step-by-step explanation:

In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

x ≥ 88

3 0

3 years ago

Read 2 more answers

1 inch= 2.54 cm

Digiron [165]

Answer:

152.4 cm is the answer

Step-by-step explanation:

4 0