Write an equivalent expression for x^4 over 4 help please

-11+3(b+5)=7 what is b

evablogger [386]

Answer:

b=1

Step-by-step explanation:

-11+3(b+5)=7

-11+3b+15=7

-11+15+3b=7

4+3b=7

3b=7-4

3b=3

3b/3=3/3

b=1

hope it's helpful

8 0

2 years ago

Read 2 more answers

Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

Y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +

Monica [59]

To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.

For the y-intercept we just find where the line meets the y-axis and that is at 2.

The equation for this graph is y=6x+2

8 0

2 years ago

Determine the value of x in the diagram. 96° X 84° 96°

arlik [135]

Answer:

84

Step-by-step explanation:

96+96+84=276

360-276=84

6 0

2 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi