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3 years ago

What is the product of [x-(4+13i)][x-(4+13i)]

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Answer:

x^2 - (4+13i)^2

Step-by-step explanation:

This product has the form (a-b)(a+b), which is a 'special product' equal to a^2 - b^2. Following this pattern, [x-(4+13i)][x-(4+13i)] = x^2 - (4+13i)^2. The 2nd term could be expanded if desired, but the above result is the most compact one possible.

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Five more than twice a number c

Anna71 [15]

The expression is: 2c + 5

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3 years ago

Please help with these 2 !! Thank you

MatroZZZ [7]

Because we have been given the slope and y-intercept, we can create an equation in slope-intercept form.

y = mx + b

m = the slope

b = y-intercept.

In the first problem,

m = -4

b = 10

So, our equation looks like: y = -4x + 10

In the second problem,

m = 1/3

b = -6

So, our equation looks like: y = 1/3x - 6

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3 years ago

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{4}{6}$

$\text{Probability}=\dfrac{2}{3}$

In decimal form, it can be written as:

$\text{Probability}\approx 0.67$

In percentage form, it can be written as:

$\text{Probability}=\dfrac{2}{3}\times 100$

$\text{Probability}\approx 66.67%$

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are $\dfrac{2}{3}, 0.67$ and $66.67\%$ respectively.