Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
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Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Which improper fraction is equivalent to 15 3/7
Answer:
108/7
Step-by-step explanation:
15*7 is 105+3 is 108/7
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 150 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Answer:
156.7
Step-by-step explanation:
What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.
Answer:
x11
Step-by-step explanation:
mega brain IQ
The relationship between the quantities x and y is option B. The relationship between quantities is ×11.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given values of x are 1, 2, 3 and 4.
Given values of y are 11, 22, 33 and 44.
We have to find the relationship between x and y.
Let y = f(x).
f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44
Clearly we can see that,
f(x) = 11x, which is a direct variation.
When x = 1, f(1) = 1 × 11 = 11
When x = 2, f(2) = 2 × 11 = 22
When x = 3, f(3) = 3 × 11 = 33
When x = 4, f(4) = 4 × 11 = 44
So the relationship is y = x × 11
Hence the relationship between quantities is ×11.
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Your question is incomplete. The complete question is as given below.
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is –30.
The relationship between quantities is +20.
what fraction does not belong?
8/12
6/12
2/3
4/6
Answer:
2/3
Step-by-step explanation:
because if you do 12 divided by 8 =1.15 and all the other one is 1.5 except 2/3
If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
kilometers, where x is measured in minutes, which of the following is an
accurate interpretation of the student's trip?
a) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, continues walking to the playground, turns around, walks
back to the school and arrives after 3 minutes.
b) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, waits there for 1 minute, then returns home.
c) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, turns back to their house to the playground, turns around,
walks back to the school and arrives after 3 minutes.
d) The student starts 6 km from school, walks to school and arrives 1 minute
later, sits by the school, returns home, arrives after 2 minutes, and then turns
around and arrives back at school for a second time at 3 minutes.
e) None of the above are correct
It
Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):
Given that:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
First, we calculate how far the student traveled to arrive at the school.
This means that we calculate f(0).
So, we have:
[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]
[tex]f(0) = ( 1)( - 2)( - 3)[/tex]
[tex]f(0) = 6[/tex]
The student walked 6km to school
When x = 2, it means:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]
This means that the student got to school after 2 minutes
When x = 3, it means
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]
This means that the student walked away, turned back and got to school after 3 minutes.
From the given options, option (a) fits the above description.
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I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty
Please quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not decimal values.
cos(30∘)=
sin(30∘)=
tan(30∘)=
cos(60∘)=
sin(60∘)=
tan(60∘)=
At Central Theatre, the cost of a matinee movie is under $5.50. The cost of a
popcorn is exactly $2.25. Write an inequality for the possible total cost, c, of a
movie and popcorn. Show your work.
Answer:
5.50 + 2.25 ≥ c
Step-by-step explanation
Movie = 5.50
Popcorn = 2.25
C = The total cost
5.50 + 2.25 = C
Please help ..........
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
A cuántos grados equivalen πrad
What is 7.456283 rounded to the nearest hundred thousandths place?
The answer will be 7.45628
Question 6
If a truck can drive 24,4 miles in 1 gallon, how many miles would I be able to drive with a filled 30 gallon tank?
Answer: 732 mi
Step-by-step explanation:
Assuming you meant 24.4
que expresision algebraica es P (x)=3x - 5x +6?
Please need help thank
Answer:
7
Step-by-step explanation:
If each amount of time is a separate person, then 7
Can someone please help me on this
Multiply. Write your answer in simplest form.
7 x 3/4
Answer:
5.25
Step-by-step explanation:
7x3 = 21
21/4 = 5.25
Answer:
5 1/4
Step-by-step explanation:
If f(x)=3x^2+x-2, then f(-2)=
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) , substitute x = - 2 into f(x) , that is
f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8
Please help me find all the missing angles
Answer:
Look at image I attached below.
Step-by-step explanation:
Important points to memorize when finding missing angles like these:
Two angles directly across from each other, not next to, are equal. All angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.A full spin-around equals 360°. All angles in any triangle add up to 180°.When you know all these important rules, the rest is just a matter of adding and subtracting.
The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
Hal leans a ladder that is 26 feet long against the side of a building. The base of the ladder is 10 feet from the side of the building.
How high up the side of the building is the top of the ladder?
A 24 feet
B 22 feet
C 28 feet
D 16 feet
Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
What is the solution of log3x − 5 16 = 2?
Answer:
log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3
Step-by-step explanation:
There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, you picked a blue marble. Without putting the blue
marble back, what is the probability of picking a green marble?
Answer:
1/3
Step-by-step explanation:
Select all the expressions that are equivalent to 12n + 8.
A. 3n + 4 + 3 + 4 + 4n
B. 11n - 4 + 0 + 12
C. 6(6n + 2)
. D. 4(3n+2)
E. 4n + 12-23 + 8n
Answer:
D and B and E
Will mark first and correct answer brainliest:)
Answer:
x=19
Step-by-step explanation:
add together (8x-7) and (x+16) and set them equal to 180 because they are supplementary
and solve for x using your new equation
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
Someone please help me
find the square root of 14+6√5
Answer:
3 + √5
Step-by-step explanation:
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
14 + 6√5 = x + y + 2√xy
14 + 2√45 = ( x + y) + 2√xy
2️⃣ Compare.
(x + y) = 14
xy = 45
3️⃣ Solve.
(x - y)² = (x+y)² - 4xy
( x - y)² = 14² - 180
( x - y)² = 196 - 180
( x - y)² = 16
( x - y) = 4
x + y = 14
x - y = 4
2x = 18
x = 9 .
y = 5 .
14 + 6√5 = √9 + √5 = 3 + √5 .
Answer: 3 + √5 .
Done ✔