The trick to changing percent to decimal and decimal to present is simple
From percent to decimal : move the decimal place two places to the left and remove percent sign.
From decimal to percent: Move the decimal place two places to the right and put a percent sign.
Sooooo....
When you move the decimal - 79.2% - to the left two time - .792 - the answer left would be
A. 0.792
Answer:
D. The function approaches 1 as x approaches -infinity and infinity
Step-by-step explanation:
Step 1: Divide numerator and denominator by
:
![\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-4%7D%7Bx%5E2-9%7D%3D%5Cfrac%7B1-%5Cfrac%7B4%7D%7Bx%5E2%7D%7D%7B1-%5Cfrac%7B9%7D%7Bx%5E2%7D%7D)
Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1
Answer:
Part 1) ![x=\frac{9}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B4%7D)
Part 2) ![x=4](https://tex.z-dn.net/?f=x%3D4)
Step-by-step explanation:
<u><em>Analize two problems</em></u>
Part 1) If y varies directly with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
step 1
Find the value of the constant of proportionality k
![k=\frac{y}{x}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7By%7D%7Bx%7D)
For x=-3, y=-8
substitute the given values
![k=\frac{-8}{-3}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B-8%7D%7B-3%7D)
![k=\frac{8}{3}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B8%7D%7B3%7D)
step 2
Find the linear equation
![y=\frac{8}{3}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B8%7D%7B3%7Dx)
step 3
Find the value of x when y=6
substitute the value of y in the linear equation
![6=\frac{8}{3}x](https://tex.z-dn.net/?f=6%3D%5Cfrac%7B8%7D%7B3%7Dx)
solve for x
![x=(6)\frac{3}{8}](https://tex.z-dn.net/?f=x%3D%286%29%5Cfrac%7B3%7D%7B8%7D)
![x=\frac{18}{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B8%7D)
simplify
![x=\frac{9}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B4%7D)
Part 2) If y varies inversely with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or ![y=k/x](https://tex.z-dn.net/?f=y%3Dk%2Fx)
step 1
Find the value of the constant of proportionality k
![k=y*x](https://tex.z-dn.net/?f=k%3Dy%2Ax)
For x=-3, y=-8
substitute the given values
![k=(-8)(-3)](https://tex.z-dn.net/?f=k%3D%28-8%29%28-3%29)
![k=24](https://tex.z-dn.net/?f=k%3D24)
step 2
Find the equation
![yx=24](https://tex.z-dn.net/?f=yx%3D24)
step 3
Find the value of x when y=6
substitute the value of y in the equation
![6x=24](https://tex.z-dn.net/?f=6x%3D24)
solve for x
![x=4](https://tex.z-dn.net/?f=x%3D4)
Answer:
Step-by-step explanation:
hello :
y=x²-10x+16 in the form y=(x-h)²+k
y= x²-2(5)(x)+16
y = x²-2(5)(x)+5²-9
y= (x-5)²-9 when h=5 and k = -9