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3 years ago

Whats the answer to 3x + 4 = 7x + 8

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

Answer:

-1

Step-by-step explanation:

Add '-7x' to each side of the equation.

4 + 3x + -7x = 8 + 7x + -7x

Combine like terms: 3x + -7x = -4x

4 + -4x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0

4 + -4x = 8 + 0

4 + -4x = 8

Add '-4' to each side of the equation.

4 + -4 + -4x = 8 + -4

Combine like terms: 4 + -4 = 0

0 + -4x = 8 + -4

-4x = 8 + -4

Combine like terms: 8 + -4 = 4

-4x = 4

Divide each side by '-4'.

x = -1

Simplifying

x = -1

Nostrana [21]3 years ago

4 0

Answer:

Step-by-step explanation:

3x + 4 =7x + 8

group like terms:

3x - 7x = 8 - 4

step 2:

-4x = 4

step 3:

-4x/-4 = 4/-4

therefore -4 will cancel -4 to remain the x :

x = 4/-4

which is equal as 0:

x =0

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What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1

Switch the "x" and "y" variables

x = 8y + 1

Isolate "y". Move the "y" variable to the left for standard formatting

8y + 1 = x

8y + 1 - 1 = x - 1 Subtract 1 from both sides

8y = x - 1

$\frac{8y}{8}=\frac{x-1}{8}$ Divide both sides by 8 and simplify

$y=\frac{x-1}{8}$ Inverse equation

$y=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

Use function notation, change "y"

$f^{-1}(x)=\frac{x-1}{8}$ Simplified

$f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

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