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:
A; infinitely many solutions
Step-by-step explanation:
first, let's simplify the first equation to make it simpler.
divide both sides by 5
y=3x-8
new system
y=3x-8
y=3x-8
as you can see, they are the same.
not mandatory but useful!⬇⬇⬇⬇
just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.
3x-8=3x-8
add 8 to both sides; subtract 3x from one side
0=0
the answer is A, Infinitely many solutions.
hope this helped <3333333
Answer:
Step-by-step explanation:
1) isosceles= two sides are congruent
2) 9x-13=4x+2
-4x
5x-13=2
+13
5x=15/5
X=3
Answer is c
The answer is C. to show that animals can even surprise experts with their capacity to learn