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

Answers

Answer 1

Answer: 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

Answer 2

Answer: i=√-1 and all the steps are there

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-6=-2+w solve the equation

Answers

Answer:

w = -4

Step-by-step explanation:

$-6=-2+w\n$

Switch sides

$-2+w=-6$

Add 2 to both sides

$-2+w+2=-6+2$

Simplify

$w=-4$

Answer:

w = -4

Step-by-step explanation:

Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." How will you show Amanda that the equation is still solvable and explain your reasoning?

Answers

For this case we have the following equation:
$(3)/(x) + (1)/(3) = (5)/(6)$
We multiply both sides of the equation by 3x:
$9 + x = (5)/(2)x$
We multiply both sides of the equation by 2:
$18+2x=5x$
From here, we clear the value of x:
$5x-2x=18 3x=18$
$x = (18)/(3)$
$x=6$
Answer:
You can not divide by zero, but you can rewrite the expression to clear x.
The value of x is given by:
$x=6$

(3 / x) + (1/3) = (5 / 6)
Taking the LCM on the left side
(9 + x)/(3x) = (5/6)
54 + 6x = 15x
From this step, it is visible that x is no longer in th denominator and even if it is 0, the equation is solvable.
9x = 54
x = 6

Find the positive value of x if: 5^(x^2 - 2x) = 1

Answers

5^(x² - 2x) = 1
5^(x²) - 5^(2x) = 1
5^x² - 5²x = 1

The cubic parent function y=x^3 contains the point (2,8). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point

Answers

Answer:

The new coordinate are (8,-8)

Step-by-step explanation:

Whenever a graph is reflected about the x-axis, positive y values become negative and vice versa. In this case positive y(8) becomes negative (-8). While the x values remain unchanged.

So the coordinates when moving by one unit will be (2,-8)

Shifting it 6units to the right increases the x values by six to give the new coordinates which is (8,-8)

What is 160% of 19? What is 0.9% of 54? What is 15% of 376?

Answers

160% of 19 is 30.4

Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
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0.9% of 54 is 0.486

Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
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15% of 376 is 56.4

Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.

Which equation represents the line whose slope is 2 and whose y-intercept is 6

Answers

The basic format for questions like these are y=mx+b where m stands for the slope and the b stands for the y-intercept, and x and y stand for the coordinates of the equation. So if you fill it in, it would be y=2x+6.

slope of 2 means that the the x part is 2x

So when x is 0 y must equal 6

so the equation is y = 2x + 6

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