$g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}$

8 0

3 years ago

Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'

mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

= 1.5 ( x) = $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime = 4 times (per hour pay)

= 4 ( $1.5x) = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x = $72.00

or, x = 72/6

=12

or , x = $12

Hence, Ella's normal hourly pay is $12 per hour.

7 0

4 years ago

Help please thank you

jek_recluse [69]

Answer:

the answer 1.5 if you want to know the answer see what the pattern is

4.5 - 3 = 1.5

so its going up by 1.5 :D

7 0

3 years ago

Find the value of the variable or the measure of the missing part of each kite BD=

nataly862011 [7]

Step-by-step explanation:

ED = EB

2x +3 = 5x -15

3+15=5x -2x

18 = 3x

18 ÷ 3 = x

x = 6

7 0

2 years ago