All categories

3 years ago

Multiply (x-4)(x^2-5x-6) ...?

Mathematics

2 answers:

Inga [223]3 years ago

7 0

Answer:

The answer is: $x^3-9x^2+14x+24$

Step-by-step explanation:

The given expression is: $(x-4)(x^2-5x-6)$

For getting the product, we need to distribute $(x-4)$ with each term in the second parenthesis. So.....

$(x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms]$

So, the answer is: $x^3-9x^2+14x+24$

frez [133]3 years ago

6 0

See attached photo for answer.

You might be interested in

Someone please help me

nlexa [21]

Answer:

Step-by-step explanation:

according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5

3 0

3 years ago

A diner asks patrons for their preference for waffles or pancakes and syrup or fruit topping.

prohojiy [21]

Answer:

$P (Waffles | Syrup)\neq P(Waffles)$

Step-by-step explanation:

From the table we have to:

Probability of syrup is 0.96

Probability of waffles and syrup is 0.32

P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)

So:

If this equality is met, the probabilities are dependent, if on the contrary

P (Wafles | Syrup) = P (Wafles) then are independent probabilities.

$P (Wafles | Syrup) = 0.32 / 0.96 = 0.333 \neq 0.32$

So we have to:

$P (Waffles | Syrup)\neq P(Waffles)$

The probabilities are dependent.

7 0

3 years ago

Read 2 more answers

The diameter of this beach ball is 12 inches.

Wittaler [7]

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is $\frac{4}{3}$ × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.