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Katena32 [7]
2 years ago
12

How to Simplify (x-2)(3x2 + 3x + 2) to a polynomial in standard form:

Mathematics
1 answer:
swat322 years ago
6 0
Answer: 3x^3 - 3x^2 - 4x - 4

Explanation:

(x - 2)(3x^2 + 3x + 2)

= x(3x^2 + 3x + 2) - 2(3x^2 + 3x + 2)

= 3x^3 + 3x^2 + 2x - 6x^2 - 6x - 4

= 3x^3 - 3x^2 - 4x - 4
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The sum of three consecutive even integers is 264. What are the integers? (show your work)
Anettt [7]

Answer:

1 Expert Answer

X + Y + Z = 264. Since Y is 1 bigger than X, Y = X + 1. Since Z is 1 bigger than Y, Z = Y + 1. But Y = X + 1, so Z = (X + 1) + 1 = X + 2.

4 0
2 years ago
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t
inessss [21]

Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

|p-72% |≤ 4%

⇒    72% - 4% ≤ p ≤ 72% +4%

⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

6 0
2 years ago
What is the solution for the system of equations? Use the elimination method to solve. 2x+y=20 -5y=-6x+12
egoroff_w [7]

Given Equations :

✿  2x + y = 20 ------------------ [1]

✿  6x - 5y = 12 ----------------- [2]

Multiplying Equation [1] with 5, We get :

⇒ 5(2x + y) = 5(20)

⇒ 10x + 5y = 100 -------------- [3]

Adding Equations [2] and [3], We get :

⇒ (10x + 5y) + (6x - 5y) = 100 + 12

⇒ 16x = 112

⇒ x = 7

Substituting x = 7 in Equation [1], We get :

⇒ 2(7) + y = 20

⇒ 14 + y = 20

⇒ y = 20 - 14

⇒ y = 7

So, The Solution for the Given System of Equations is : (x , y) = (7 , 7)

3 0
2 years ago
Help please me please help me
Vinil7 [7]

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

3 0
3 years ago
What is the expanded form of this number?
Yuliya22 [10]

Answer:

  A  (1×10)+(4×1)+(7×1/10)+(2×1/1,000)

Step-by-step explanation:

In the expanded form, the number is shown as a sum in which each digit is multiplied by its place value.

The decimal fraction digits are in the tenths place (1/10) and the thousandths place (1/1000).

  (1×10)+(4×1)+(7×1/10)+(2×1/1,000)

8 0
2 years ago
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