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2 years ago

Given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

Hello,

We don't need vw(x) !

$w^{-1}(x)=\dfrac{x-1}{2}$

Step-by-step explanation:

$w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}$

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Express the given percent as a decimal.1/2% (Round to five decimal places as needed.)

grin007 [14]

Answer:

The required expression is $\frac{1}{2}\%=0.00500$

Step-by-step explanation:

Given : Percentage $\frac{1}{2}\%$

To find : Express the given percent as a decimal ?

Solution :

To convert percentage into decimal,

To remove percentage sign we divide the given number by 100.

So, $\frac{1}{2}\%=0.5\%$

Remove percentage,

$\frac{1}{2}\%=\frac{0.5}{100}$

Now, Put decimal after three digit

$\frac{1}{2}\%=0.005$

As we have to round it to five decimal places,

$\frac{1}{2}\%=0.00500$

Therefore, The required expression is $\frac{1}{2}\%=0.00500$

6 0

3 years ago

Solve the following inequality in two ways and make a claim as to which

NikAS [45]

Answer:

The solution of the given inequality n < 5

Step-by-step explanation:

Explanation:-

Given inequality

$\frac{1}{4} (8 n -12 ) < n +2$

Step(i):-

Cross multiplication '4' we get

8 n - 12 < 4 ( n +2)

8 n - 12 < 4 n + 4×2

8 n - 12 < 4 n +8

Subtracting '4 n ' on both sides, we get

8 n - 4 n - 12 < 4 n - 4 n +8

4 n - 12 < 8

Step(ii):-

Adding ' 12 ' on both sides , we get

4 n -12 + 12 < 8 + 12

4 n < 20

Dividing "4' on both sides , we get

n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality n < 5

5 0

3 years ago

1. Is y = -x - 1 quadratic? Explain.

Tpy6a [65]

No because the formula for a quadratic equation is ax^2+bx+c=0
This is a linear equation however.
Hope this helps

4 0

2 years ago

If the figure below are similar with a scale factor of 2:3, find the value of x.

ahrayia [7]

Answer x=63

Step-by-step explanation:

8 0

2 years ago

Evelyn took a job that paid $100 the first week. She was guaranteed a raise of 2% each week. How much money will she make in all

Zanzabum

This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.

The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.

Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L $_{8}$ = 100 + (n - 1)*0.02*100
L $_{8}$ = 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.

6 0

2 years ago

Given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee​

Given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee