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:
Josh should by the dump truck with 30,000 pounds of gravel in it
Step-by-step explanation:
the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.
30,000/150 = 200
2,500/150 = 16.6666666666666
May I have brainliest please? :)
Answer:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500.
Step-by-step explanation:
Remmber
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
conver to improper
4 and 1/5=20/5+1/5=21/5
2 and 1/3=6/3+1/3=7/3
(21/5)/(7/3)=(21/5)(3/7)=63/35=9/5=1 and 4/5
Let the number of hours be $x
Initial charges by Sanford's Plus = $125
Per hour charges = $165
Total cost of Sanford's Plus company = 125 + 165x
Initial charges by Quality Moving Company = $200
Per hour charges = $145
Total cost of Quality Moving Company = 200 + 145x
If either company were hired for hours, the total cost would be the same
125 + 165x = 200 + 145x
Add -125 on both sides
125 - 125 + 165x = 200 + 145x-125
165x = 75 + 145x
Add -145 on both sides
165x - 145x = 75
20x = 75
Divide both side by 20, to find the value of x
x = 75/20
x = 3.75 hours
Total cost of Sanford's Plus company = 125 + 165x
x = 12 hrs
Total cost of Sanford's Plus company = 125 + 165(12)
Total cost of Sanford's Plus company = 125 + 1980
Total cost of Sanford's Plus company = $2105
