Mathematics: Complete the equation to represent the relationship. Then solve the equation. Use the variable x to represent the unknown number. Three less than 4 times a number is the same as the number plus 12. The equation is - = X=

Complete the equation to represent the relationship.

Ответ:

carsondelane13

03.02.2022

Mathematics

the equation is: 4x - 3 = x + 12

x = 5

Step-by-step explanation:

i hope this helps a little bit :))

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Ответ:

haleymatthews3

30.03.2021

Mathematics

$\int\frac{dx}{25-16x^2}\\\\\frac{1}{25-16x^2}=\frac{1}{5^2-(4x)^2}=\frac{1}{(5-4x)(5+4x)}=\frac{A}{5-4x}+\frac{B}{5+4x}=\frac{A(5+4x)+B(5-4x)}{(5-4x)(5+4x)}\\\\=\frac{5A+4Ax+5B-4Bx}{25-16x^2}=\frac{(4A-4B)x+(5A+5B)}{25-16x^2}\Rightarrow\frac{1}{25-16x^2}=\frac{(4A-4B)x+(5A+5B)}{25-16x^2}\\\Updownarrow\\4A-4B=0\ and\ 5A+5B=1\\4A=4B\ and\ 5A+5B=1\\A=B\ and\ 5B+5B=1\\A=B\ and\ 10B=1\\A=B\ and\ B=0.1\\A=0.1\ and\ B=0.1$

$\int\frac{dx}{25-16x^2}=\int\left(\frac{0.1}{5-4x}+\frac{0.1}{5+4x}\right)dx\\\\=-\frac{1}{4}\times0.1\times log(5-4x)+\frac{1}{4}\times0.1\times log(5+4x)+C\\\\=\frac{log(5+4x)-log(4-5x)}{40}+C$

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Complete the equation to represent the relationship. Then solve the equation. Use the variable x to represent the unknown number.
Three less than 4 times a number is the same as the number plus 12.
The equation is -
=
X=

Ответ:

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