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Inessa05 [86]
1 year ago
11

What is the inverse equation for h(x) = 2log(x-3) ?

Mathematics
1 answer:
marshall27 [118]1 year ago
8 0

Given the function:

h(x)=2log\left(x-3\right)

To find its inverse:

\begin{gathered} y=2log\left(x-3\right) \\ x=2log\left(y-3\right) \end{gathered}

solving for y:

\frac{x}{2}=log(y-3)\begin{gathered} 10^{\frac{x}{2}}=y-3 \\  \\ 10^{\frac{x}{2}}+3=y \end{gathered}

ANSWER

h^^{-1}(x)=10^{\frac{x}{2}}+3

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bicycle costs $150. It is advertised on sale for 32% off. What is the cost savings? Solve using two different methods.
alina1380 [7]
The savings is the amount taken off or 32% of 150

32% of 150 is 0.32 times 150=48

savings is $48


or you can do
150/100=x/32
cross multiply to get
x=48


so savings is $48
5 0
2 years ago
Read 2 more answers
A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
Yakvenalex [24]

Answer:

The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

Step-by-step explanation:

Let p represent the proportion of students who are supportive of making the day before Thanksgiving a holiday.

Since two populations are considered, the alternative hypothesis for the difference of the means of the two populations has to be stated.

The proportion of two-third students are supportive of making the day before Thanksgiving a holiday is p = 0.66 obtained as shown below:

The null hypothesis is,

{H₀}:p = 0.66, H₀​: p = 0.66

The alternative hypothesis is,

{Hₐ:p > 0.66, Ha​: p > 0.66

The null hypothesis is, {H₀}: p = 0.66, H₀: p=0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

3 0
3 years ago
Simplify the following, where k represents any integer: cos(2kpi-x)(-sin(2kpi-x))
Citrus2011 [14]
= cos( -x ) * [ - sin( - x ) ] = cosx * sinx ;
cosx * sin x is the right answer !
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I need helps<br> can you simply this please :)
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