Answer:there correct
Step-by-step explanation:
Answer:
i think it's correct
Step-by-step explanation:
Answer:
The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
Step-by-step explanation:
The parent log function is
The translation of the function is defined as
.... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The given function is
.... (2)
From (1) and (2), we get
Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
The transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).
From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = log(x - 5)
g(x) = log(x)
So, we have
Difference = 5 - 0
Evaluate
Difference = 5
This means that the transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).
Read more about transformation at
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Algebraically, 'x is not equal to 2 and x is not equal to 7' is written as x≠2 and x≠7. In Interval Notation, it is written as (-∞, 2) U (2, 7) U (7, ∞). The given conditions exclude the numbers 2 and 7 from the entire real number line.
In the field of Mathematics, if you want to express the condition 'x is not equal to 2 and x is not equal to 7' algebraically, you write it as x≠2 and x≠7. In Interval Notation, you'd denote this as (-∞, 2) U (2, 7) U (7, ∞). This is read as 'x is all real numbers except 2 and 7' because we have excluded these two numbers from the entire real number line.
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b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.
For our given sample, the only true statement is:
c. The number is even or less than 12.
The sample for the experiment is the set:
{2, 3, 4, 5, 6, 7, 8, 9, 10}
So, we need to see which ones of the statements are true for every digit in that set.
For example:
a "The number is greater than 2."
Is false, because the outcome can be 2, as 2 belongs to the set.
The true statement is:
c. The number is even or less than 12. (all the numbers are less than 12).
If you want to learn more about sets:
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fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below. Model A Model B Model C
height 77 100 240
time to fall (s) 2.194, ----, ----
initial velocity 70.2 , ----, 123.9
complete the following tasks, filling in the missing values in the table as you find them:(1)Find the time water would take to fall from each height in the table back to its starting level.(2)Find the initial upward velocity required for fountain B to launch the water to its maximum height(3)Create a function that will give you the minimum initial upward velocity ,v ,required to launch water to any given height , h. thank you
I am only in the seventh grade so it might not be right, but this is what I would do:
Set up a proportion: 77/2.194/70.2 = 100/x/y = 240/z/123.9
Then solve for x: if 77 equals 100, that means 2.194 is 77% of x. So x equals 2.849350649
*the 350649 repeats
Then solve for y: Like mentioned before 70.2 is going to only be 77% of y, so if you set that up in a proportion, it is: 70.2/77 = y/100. So when you solve you get 91.16883116883117...
Then finally we solve for z: 100 is only 41.6% of 240, so that means 2.849350649 is only 41.6% of z. So then we set it up as a proportion: 141.6/100 = z/2.849350649, then we solve. It equals 4.034680518984.
Sorry if my answer was redundant, but hope this helped!