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3 years ago

What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

The answer to your question is: 3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

3 2 -5 - 6 -2 -1

-3 1 4 2

3 -1 -4 -2 0

Result 3x³ - x² - 4x - 2

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Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita

jekas [21]

Answer:

if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour

Step-by-step explanation:

7 0

3 years ago

The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(

Umnica [9.8K]

Answer:

(a) $A_1$ and $A_2$ are indeed mutually-exclusive.

(b) $\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}$ , whereas $\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}$ .

(d) $\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}$ , whereas $P(A_1 \; |\; B) = \displaystyle \frac{4}{9}$

Step-by-step explanation:

$P(A_1 \; \cap \; A_2) = 0$ means that it is impossible for events $A_1$ and $A_2$ to happen at the same time. Therefore, event $A_1$ and $A_2$ are mutually-exclusive.

By the definition of conditional probability:

$\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}$ .

Rearrange to obtain:

$\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}$ .

Similarly:

$\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}$ .

Note that:

$\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}$ .

In other words, $A_1$ and $A_2$ are collectively-exhaustive. Since $A_1$ and $A_2$ are collectively-exhaustive and mutually-exclusive at the same time:

$\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}$ .

By Bayes' Theorem:

$\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}$ .

Similarly:

$\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}$ .

6 0

3 years ago

Complete the steps for solving 7 = -2x2+10x

V125BC [204]

Step 1: move all terms to one side

7 + 2x^2 - 10x = 0

Step 2: Use the quadratic formula

X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4

Step 3: Simplify solutions

X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2

4 0

4 years ago

Read 2 more answers

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Rudiy27

Answer:

9 ft

Step-by-step explanation:

Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)

for height, we get:

3V = (base area)(height), or

---------------- = height

base area

Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:

3(75 ft^3) 9 ft

height = ------------------ = ----------------- = 9 ft

25 ft^2 1

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3 years ago

Can monkeys eat pee when in well that has wet stuff in a zoo with harambe

shtirl [24]

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2 years ago