1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavel [41]
2 years ago
7

If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures

the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.
Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.

The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph.
p(t) + 1
p(t + 1)
−1 • p(t)

Mathematics
1 answer:
klio [65]2 years ago
7 0

Answer:

Second Option

The transformation that will cause p(t) to have an intercept with the y = p(t) axis is p(t) =-log_{10}(t+1)

Step-by-step explanation:

If we have the function p(t) = -log_{10}(t) as the parent function then we must find out which of the transformations shown must be performed to the function so that it has an intersection on the y axis.

The main function p(t) = -log_{10}(t) because if we do t = 0 then p(t) is not defined because the log(0) is not defined.

Then, if we transform the function by doing y = p(t) +1 then we will obtain:

p(t) =-log_{10}(t)+1

This transformation moves the parent function 1 unit up. Therefore, if the original function had no interception in y, then it will not have an intercept either.

 

Then, if we transform the function by doing y = p(t + 1) then we will get:

p(t) =-log_{10}(t+1)

This function moves the parent function one unit to the left on the x axis. Therefore it will have an intercept in p(t) = 0

The transformation -1*p (t) only reflects the function p(t) on the x axis.  But if the main function has no intercept on the y-axis then the reflected function will also have no intercept on the y-axis

Therefore the correct option is the second one. The transformation that will cause p(t) to have an intercept with the y = p(t) axis is p(t) =-log_{10}(t+1)

Observe the attached image

You might be interested in
Which equation is a point slope form equation for line AB ?
kolezko [41]
I think the answer is A
5 0
3 years ago
Read 2 more answers
True or false? The GCF of any two odd numbers is always odd
nevsk [136]
The answer to this question would be true.

An odd number wouldn't have any 2 in their factor because it is the definition of odd number, can't be divided by 2. Since they have no probability of having factor 2, then their GCF would not become an even number.
4 0
3 years ago
Help timed test! At which root does the graph...
Anastaziya [24]

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

5 0
3 years ago
The equation represents the proportional
zloy xaker [14]

Answer:

No, more than one hamburger was sold

5 0
3 years ago
Which are the best buys?<br>ay 3 books for Rs 60 or 5 same books for Rs 90<br>​
kogti [31]

Answer:

Sine 3 books are for 60-

60/3

Rs20 (per book)

and 5 books for Rs 90-

90/5

Rs18 (per book)

Thus we can save 2Rs and 5 books for Rs 90 iscthe best buy

8 0
2 years ago
Read 2 more answers
Other questions:
  • Why does insurance often provide "peace of mind"?
    11·1 answer
  • Transforming data
    7·1 answer
  • To make 5 dinner rolls 1/3 cup of flour is used. how much flour is needed to make one dinner roll?
    7·1 answer
  • Fast forward to the moment after the two outermost recursive calls complete, but before the final Merge step. Thinking of the tw
    9·1 answer
  • The lines on a 2 cup liquid measuring cup divide each cup into eighths. If you measure 1 cups of water, between
    15·2 answers
  • At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand s
    7·2 answers
  • A plane at 3,800 feet is descending at a rate of 120 feet per minute, and a plane at 520 feet is climbing at a rate of 40 feet p
    5·1 answer
  • What is 27.91111 repeating as a decimal ​
    6·1 answer
  • ∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
    7·1 answer
  • A=(q+k/3)m solve for q. <br>Please help lol. ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!