pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
hope this helps please mark me brainliest!
Answer:
base : 30 cm
height : 20 cm
perimeter : 92 cm
Area : 400 cm
Step-by-step explanation:
base : 30 cm
height : 20 cm
perimeter : 27 + 30 + 25 + 10
: 92 cm
Area : (1/2 ( a + b) ) x h
: (1/2 ( 10 + 30) ) x 20
: (20) x 20
: 400 cm
The answer is about 113.1 feet squared
Answer:
D. 8 bottles
Step-by-step explanation:
one bottle of one is obviously $6.50
one bottle of two : $12.50 (1/2) = $6.25
one bottle of four: $26.00 (1/4) = $6.50
one bottle of six: $30.00 (1/6) = $5.00
one bottle of eight: $38.00 (1/8) = $4.75
8 bottles is the best buy
(8/9)^2 is 64/81. Exponent is 2. Hope this help