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2 years ago

Find the solution set for 8x - 3 = 2(x - 1/2)

Mathematics

1 answer:

KiRa [710]2 years ago

4 0

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8x - 3 = 2(x - 1/2)

Step 2: Solve for x

Distributive 2: 8x - 3 = 2x - 1
Subtract 2x on both sides: 6x - 3 = -1
Add 3 to both sides: 6x = 2
Divide 6 on both sides: x = 1/3

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Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.

NISA [10]

Answer:

$\frac{\sqrt{\pi}}{4}$

Step-by-step explanation:

You are going to integrate the following function:

$g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}$ (1)

furthermore, you know that:

$\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}$

lets call to this integral, the integral Io.

for a general form of I you have In:

$I_n=\int_0^{\infty}x^ne^{-ax^2}dx$

furthermore you use the fact that:

$I_n=-\frac{\partial I_{n-2}}{\partial a}$

by using this last expression in an iterative way you obtain the following:

$\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}}$ (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

$\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}$

5 0

2 years ago

Read 2 more answers

Arrange from least to greatest. 5/6 2/4 5/12

Jet001 [13]

Answer:

5/6=10/12. 2/4=6/12. 5/12

5/12. 2/4. 5/6

6 0

3 years ago

Please help! And don't give me a link, I know it's a scam.

ivanzaharov [21]

Answer:

Yes.

Step-by-step explanation:

Well if the sum of the angles is equal to 180, then it's a triangle. Since $52+18+110=180$ , a triangle with the measures 52°, 18°, and 110° is possible. Hope this helps!

8 0

3 years ago

How do I solve for g?

chubhunter [2.5K]

Answer:

g=y-m/x

Step-by-step explanation:

You subtract m on both sides then you divide by x

It would look like

g=y-m/x

6 0

2 years ago

Marking Brainliest ! Answer quickly

Alex

Answer:

5/7

Step-by-step explanation:

20/28=5/7

Hoped i answered u

4 0

3 years ago

Read 2 more answers

Find the solution set for 8x - 3 = 2(x - 1/2)​

Find the solution set for 8x - 3 = 2(x - 1/2)