Transformations are used to move a function from one position to another. The new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]
Given that
[tex]f(x) = \frac 1x[/tex]
When shifted 6 units down. the rule of transformation is:
[tex](x,f(x)) \to (x,f(x) - 6)[/tex]
So, we have:
[tex]f'(x) = f(x) - 6[/tex]
[tex]f'(x) = \frac 1x - 6[/tex]
When shifted 1 unit left. the rule of transformation is:
[tex](x,g(x)) \to (x -1,f'(x))[/tex]
So, we have:
[tex]g(x) = f'(x - 1)[/tex]
[tex]g(x) = \frac{1}{x-1} - 6[/tex]
Hence, the new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]
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Does anyone know this please
What is the slope of the line y+4=1/2(x-3)
A. -3
B. 1/2
C. 1
D. 2
E. 3
F. 4
Answer:
The slope of the line is 1/2
Which is the equation of a line that has a slope of -3 and passes through point
(-3,-1)
Answer:
Use y-y1 = m*(x-x1) where m = slope and (x1,y1) is the point.
Step-by-step explanation:
found the info on a random website
HELP!! HOWDO I SOLVE THIS??
Answer:
35 degrees
Step-by-step explanation:
a triangles angles add up to 180 degrees
if 4 is 35 degrees then what is 3
90 - 35 = 55
1 = 90
90 + 55 = 145
180 - 145 = 35
2 = 35 degrees
try math it helps alott
79% of what number is 181
can you please help im running out of time9) -23 - (-14)= *
factorise x2-5x-750=0
Answer:
(x+25)(x-30)
Step-by-step explanation:
Enter the ratio as a fraction in lowest terms 3 ft to 88 in. Hint: You must use common units (12 in = 1 ft.)
Answer:
9/22
Step-by-step explanation:
convert 3ft into inches.
3*12=36in
then make it into a fraction
36/88
simplify
9/22
How much heavier is the Black bear than the Key deer.
Answer:
How heavy is a full grown black bear?
2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.
Step-by-step explanation:
HOPE THIS HELPED ✨
The weight difference between a female black bear and a female key deer is 80 or lower.
a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.
the weight difference between a male black bear and a male key deer is 510 pounds.
a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.
Jordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.
Answer:
Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)
Step-by-step explanation:
The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.
Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.
HOPE THIS HELPS ↖(^ω^)↗
Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m
Answer:
Hi there!
Your answer is:
3+.15m =c
I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m
Hope this Helps
CAN SOMEONE HELP ANSWER THIS AND EXPLAIN
Answer:
In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers
Which one of these is the identity for addition?
Group of answer choices
0
1
-1
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Step-by-step explanation:
Multiply (−4)(−2)(−5)
A −40
B -8
C 8
D 40
Answer: A. -40
Step-by-step explanation:
-4 x -2 equals 8, 8 times -5 equals -40
Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?
which of the following fractions is equivalent to 4/7 A 6/9 B 8/14 C 2/3 D 8\21
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a at least 160
b no more than 160
c fewer than 160
d more than 160
Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix.
Answer:
The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since B is not all zeros, then any solution to A0 can not be the trivial solution
Step-by-step explanation:
Firstly, have to define linear dependency to get a clear picture of what is to be done.
If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.
Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.
I need help plzz I need the answer
Answer:
24cm
Step-by-step explanation:
you do length times width and you get 24
what is the solution to 6x+5y=19 4x+6y=10
Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
la function exponencial f(x) =2^x tiene intercepto en "y" al igual a
Answer:
f = 2 ^ x es cierto para todo y
Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following.
1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The matched pairs are as follows:
Population: 2. All Toyota Camry (2020 US) model cars.
Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.
Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.
Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
write the given equation of a line that passes through two given points (0,1) and (2,2)
Answer:
m=slope y = intercept
m= y2-y1 / x2-x1
2-1 / 2-0 = 1 /2
now pick one of the points and put in for y and x
use (2,2) 2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y intercept
Step-by-step explanation:
The equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope= 2-1 / 2-0 = 1 /2
Now pick one of the points and put in for y and x use (2,2).
2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y-intercept
The equation will be written as:-
y = ( 1 / 2) x + 1
Therefore, the equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1.
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What is 3/2 divided by 1/2
Answer: 3
Step-by-step explanation: 3/2 / 1/2 = 3
= )
Answer:
It's 3 :)
Step-by-step explanation:
you just multiply the numerators and put them over 1.
so 3*1 is just 3. Hope this helps!
solve for p 7(p - 9) = -34.3
How do you do this question?
You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.
Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.
Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.
Eg: (-7)^2 = 49 and (-3)^4 = 81
This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.
Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]
So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]
And it's why choice E is not one of the answers.
-------------------------
To summarize:The 3 answers are A, C, and DHow is the Remainder Theorem related to the process of synthetic division?
Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
Which equation represents the function graphed on the
coordinate plane?
O g(x) = |x - 41 - 10
O g(x) = 5x + 41 - 10
O g(x) = \X – 10| + 4
O g(x) = (x + 101 – 4
The equation that represents the graph is g(x) = |x + 4| - 10.
The correct option is B.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Since the graph of the parent function is g(x) = |x|, the transformed graph is obtained by shifting it 4 units to the left and 10 units down. This can be achieved by applying the following transformations to the parent function:
Shift 4 units to the left: g(x + 4) = |x + 4|
Shift 10 units down: g(x + 4) - 10 = |x + 4| - 10
Therefore, the equation for the transformed function is g(x + 4) - 10 = |x + 4| - 10.
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WhAt is 3.242424 as a mixed number
Answer:
3 30303/125000
Step-by-step explanation:
Find the common ratio of the geometric sequence 2,-6,18,...
Answer: -3
Step-by-step explanation:
Use the ratio r= a2/a1
So -6/2= -3
2*-3=-6
-6*-3= 18
18*-3= -54
a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area of the garden
Answer: 21,875 sqm
Step-by-step explanation:
Step 1:
Find the gross area of the garden.
Square 150m = 22,500 sqm.
Step 2:
Find the area of the pool.
Square 25m = 625 sqm.
Step 3:
Subtract the area of the pool from the gross area of the garden
to find the net area of the garden.
22,500 - 625 = 21,875 sqm.
Warning:
Do not subtract the side length of the swimming pool from the side length
of the garden before squaring.