Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Answer:
f(1)=-11
f(n)=f(n-1)+22
Step-by-step explanation:
Base equation:
f(n)=-11+22(n-1)
f(1)=-11+22(1-1)
f(1)=-11+0
f(1)=-11
f(n)=-33+22n
f(n-1)=-11+22(n-2)
f(n-1)=-55+22n
-33+22n=-55+22n+x
22n gets canceled out
-33=-55+x
-33+55=x
x=22
f(n)=f(n-1)+22
Answer:
t = d/S
Step-by-step explanation:
S = d/t
Cross multiply
S x t = d
Divide both sides by S
S/S x t = d/S
t = d/S
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.
