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3 years ago

X∞n=0 (2 n + 1) x 2 n

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

6 0

Answer:3

If x=0 or x=1 it is trivial, so 0<x<1. Define a=1−x2, then 0<a<1.

Step-by-step explanation:

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I need help 2(4+2x)≥5x+5

timofeeve [1]

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(4 + 2x) ≥ 5x + 5

Step 2: Solve for x

[Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
[Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
[Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
[Division Property of Equality] Divide -1 on both sides: x ≤ 3

5 0

2 years ago

Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle

Ronch [10]

Answer:

A. $Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. $Area = 3.75 in^2$

Step-by-step explanation:

A. $Area = \frac{1}{2}bh$

Where,

$b = 2x + 6$

$h = x - 4$

Plug in the values to get a polynomial that represents the area of the tool

$Area = \frac{1}{2}(2x + 6)(x - 4)$

$Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)$

$Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)$

$Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

$Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)$

$Area = \frac{1}{2}(2(20.25) - 9 - 24)$

$Area = \frac{1}{2}(40.5 - 9 - 24)$

$Area = \frac{1}{2}(7.5)$

$Area = 3.75 in^2$

8 0

3 years ago

A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of 8.25% added to the

Yuri [45]

The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.

150 * 0.12 = 18

Subtract 18 from 150.

150 - 18 = 132

Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.

132 * 0.0825 = 10.89

Add 10.89 to 132.

132 + 10.89 = 142.89

The final price of the textbook is $142.89.

4 0

3 years ago

Find the HCF of 126 and 420

melamori03 [73]

Answer:

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

3 0

2 years ago

Whats the square root of 33

photoshop1234 [79]

Answer:

The square root of 33 is 5.74456264654

3 0

2 years ago

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