5x−3−7x = 15−x What is x?

2 answers:

6 0

Simplify 5x-3-7 to -2x-3
-2x-3=15-x
Add 2x on both sides
−3=15−x+2x
Simplify 15-x+2x to 15+x
−3=15+x
Subtract 15 on both sides
-3-15=x
Simplify -3-15 to -18
-18=x
X=-18

Mamont248 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

$5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18$

$\frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18$

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Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,

Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

$[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x$ [/tex]