Which graph shows the function f(x) = x with an input of f(x – 3)? A coordinate plane with a line graphed passing through (negative 4, negative 1), (negative 3, 0), and (0, 3). A coordinate plane with a line graphed passing through (negative 1, negative 4), (0, negative 3), and (3, 0). A coordinate plane with a line graphed passing through (negative 1, negative 3), (0, 0), and (1, 3). A coordinate plane with a line graphed passing through (negative 3, negative 1), (0, 0), and (3, 1).
The given function, f(x) = x, and the function with an input of f(x - 3), which is a transformation of the function f(x), moving it three places to the right, gives the points on the graph of the function as the option;
(negative 1, negative 4), (0, negative 3), (3, 0)
What is the transformation of a function?The transformation of a function involves moving the curve or line that represents the function either left, right, down, or up, reflect the graph or compress or expand the curve of the graph of the function.
The given graph is for the function is f(x) = x, the required graph is the graph of the function, f(x - 3), which is evaluated as follows;
Given f(x) = x, we have, f(x - 3) = x - 3
The table of values for both functions is presented as follows:
x; -4, -3, -2, -1, 0, [tex]{}[/tex]1, 2, 3, 4, 5
f(x) [tex]{}[/tex] -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
f(x - 3)[tex]{}[/tex] -7, -6, -5, -4, -3, -2, -1, 0, 1, 2
From the above table of values, the points on the function, f(x - 3) are; (-1, -4), (0, -3), (3, 0)
The option which gives the points on the graph that shows the function f(x) with an output of f(x - 3) is therefore;
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Answer: b
Step-by-step explanation:
got it right on edge
You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?
Answer:
The most amount of dogs that you can walk in a given day is 30 dogs.
Step-by-step explanation:
You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?
[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]
amount of intervals= 6 intervals
You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?
[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]
amount of dogs= 30 dogs
The most amount of dogs that you can walk in a given day is 30 dogs.
can someone help the lesson is about ordering.
Answer: [tex]3 \le x \le 5[/tex]
x is any real number between 3 and 5, including both endpoints
================================================
Explanation:
If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.
For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations
1/2 = 0.500
1/3 = 0.333
We see that 1/2 is larger.
-----------
The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].
We've broken the single inequality into two smaller parts.
The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]
------------
Let's solve the first inequality for x
[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]
Repeat for the other inequality as well
[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]
-------------------------
We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]
This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y – 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Oy=1x+2
Oy={x-4
O y = x + 3/2
Oy=2x-
2.
Option A is the correct answer, y = x + 2
y - 3 = x-1
If you bring the 3 to the R.H.S, it becomes y = x + 2
If you substitute the values,
3 = 1 + 2
3 = 3
Thus, e equation is correct
The slope-intercept form of the equation for this line is y = 1/2 x + 5/2
First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)
m = 3+2/1+9
m = 5/10
m = 1/2
The equation in point slope form is given as y - 3 = 1/2(x - 1)
2(y - 3) = x - 1
Write in slope intercept form
2(y - 3) = x - 1
2y - 6 = x - 1
2y = x + 5
y = 1/2 x + 5/2
Hence the slope-intercept form of the equation for this line is y = 1/2 x + 5/2
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Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters. centimeters of velve
Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
Luke opened a savings account with a balance of $0.00 and deposited $20.00. During the next 2 weeks, he made two more deposits for $15.00 and $35.00. At the end of the month, he made a withdrawal that brought his balance back to $0.00. Assuming no interest was earned, how much money did Luke withdraw from his savings account?
Answer:
85$ was withdrawed.
Step-by-step explanation:
20 + 30 + 35 = 85 - 85 = 0
Answer:
Okays so Luke deposited $20.00, $15.00, and $35.00 so we can make the equation
$20.00 + $15.00 + $35.00 = $70.00
At the end of the month he withdrawaled all of his money which brought it back to $0.00. That means that Luke withdrawled $70.00 from his bank account!
I hope that this helps
*I WILL MARK BRAINLIEST* PLS HELP ASAP
What?
joshuasalazar697 avatar
A because u should have gotten a 3x after adding them together since u do what is inside the () before anything
fionaferlich1 avatar
3+x does not equal 3x
joshuasalazar697 avatar
y not
fionaferlich1 avatar
because 3x equals x times x times x not 3+x
joshuasalazar697 avatar
but why is it d
joshuasalazar697 avatar
they did it right u have to divide it from the right to the left
fionaferlich1 avatar
a rule of inequalities is when you divide by a negative the sign switches. so because u had to divide the entire thing by -6 it should be x is greater than -1
joshuasalazar697 avatar
no u have to divide it by positive 6 cause u are taking it the 6 from the right and moving it under the 6 from the left wich u would divide
fionaferlich1 avatar
u always divide by the coefficient of x and that's -6
joshuasalazar697 avatar
no cause since u moved all the letters to the right and all the lone numbers to the left u have to take that last one and divide it from the one with the x
fionaferlich1 avatar
the one with the x is the coefficient of x which is -6
joshuasalazar697 avatar
yeah i know that ut u don't divide the 6 from the -6x like u gonna divide -6x by 6
joshuasalazar697 avatar
also if i am wrong what happened to the 3 and why did it turn to an 18
fionaferlich1 avatar
so say that's what you're supposed to do (which it is ) but then u would get -x>1 and x must be positive
joshuasalazar697 avatar
i should have paid attention in algebra no wonder I don't get geometry but geometry is way easier
joshuasalazar697 avatar
i see what u are getting to now
joshuasalazar697 avatar
still don't see how 3 turned into 18
joshuasalazar697 avatar
i just say this hole thing is written wrong from the start and made it all wrong
there is ur explanation
Answer:
d
Step-by-step explanation:
since when u divide by a negative it switches signs
Brianne is making apple pies. She has 2 1/2 pounds of apples. Brianne estimates she can make 3 pies with no apples left over. How many pounds of apples will go into each pie?
0.833 pound of apples go into each pie.
Given Brianne has 2 and half pounds of apples.
she can make 3 pies with no apples left.
Now total quantity of apples she has is 2.5 pound.
Since she can make 3 apple pies with 2.5 pound of apples, so each pie has equal amount of apples.
Now each pie has [tex]\frac{2.5}{3} =0.833[/tex] pounds of apples.
Hence 0.833 pound of apples go into each pie.
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what is the rate of change for y= -2/5x-9
Answer:
If two quantities x and y are related by y = f(x), the derivative f'(xo) represents the rate of change of y with respect to x at the point xo. It is measured in (units of y)/(units of x). A positive rate of change is sometimes called a rate of increase.
Step-by-step explanation:
Answer:
m= -2/5
Step-by-step explanation:
If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)
Answer:
-15
Step-by-step explanation:
g(f(-4))=g(4(-4)-5)=g(-21)
g(-21)=-21+6=-15
Solve the following compound inequality
1. 2x + 12 > 10 or -2x>6
Answer:
6
Step-by-step explanation:equals 6
Round £432.75
to 2 significant
figure.
Answer:
= 3.66
Step-by-step explanation:
there you go have a good day
£432.75 to 2 significant figure, is 4.3275*10²
What is a significant figure?The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.
Given a term £432.75
Rounding £432.75 to 2 significant figure, we get,
432.75 = 4.3275*10²
Hence, 432.75 to 2 significant figure, is 4.3275*10²
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Find the product of the polynomials. (2x + 6)(3x − 2)
Answer:
6x^2 + 14x -12
Step-by-step explanation:
Ms. Harris goes on a road trip with her fellow colleagues for spring break. 10 points
Ms. Harris is trying to estimate how much gas it will to drive 600 miles.
Ms. Harris's car typically gets 29 miles per gallon of gas. How many
gallons will Ms. Harris need to complete her 600 miles of travel.
O 20 gallons
O 19 gallons
O 21 gallons
O 22 gallons
Answer:
21 gallons
Step-by-step explanation:
600 = 29g
600/29 = g
20.689 = g
Round up
21 = g
Answer:
21 gallons
Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21
Using the factor theorem, which of the following is a factor of the polynomial below?
x^3 + 12x^2 + 9x - 22
A. X-3
B. X+2
C. X+1
D. X-2
Answer:
B.X+2
Step-by-step explanation:
-2^3+12X-2^2+9X-2-22
-8+48-18-22
40-40=0
The following is a factor of the polynomial is x+2.
What is Factor theorem?Factor theorem is a special kind of the polynomial remainder theorem that links the factors of a polynomial and its zeros.
The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found.
As per the factor theorem, (y – a) can be considered as a factor of the polynomial g(y) of degree n ≥ 1, if and only if g(a) = 0. Here, a is any real number. The formula of the factor theorem is g(y) = (y – a) q(y). It is important to note that all the following statements apply for any polynomial g(y):
(y – a) is a factor of g(y).g(a) = 0.The remainder becomes zero when g(y) is divided by (y – a).The solution to g(y) = 0 is a and the zero of the function g(y) is a.Given:
f(x)=x³ + 12x² + 9x - 22
To the above equation (x + 2) is a factor of x³ + 12x² + 9x - 22.
As,
f(-2)= (-2)³ + 12(-2)² + 9(-2) - 22
f(x)= -8 + 48 -18 -22
f(x)= 40 -40
f(x) = 0
Hence, the factor of x+2
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b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Answer:
~370
Step-by-step explanation:
Columbus = 892,533
US = ~328,200,000
892,533x100=89,253,300
89,253,300x3.5=312,386,550
892,533x20=17,850,660
89,253,300+312,386,550+17,850,660=~328,200,000
100x3.5=350
350+20=370
If α , β are roots of x2 + 5x + a =0 and 2α + 5β = -1 then α is equal to _____?
9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Which expression is equivalent to 33.63.23 without
exponents?
3 3/4 divided by 3/20
Answer:
25
Step-by-step explanation:
Harper is a sales person who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sells and she earns a commission of 1% of the dollar amount of all sells that she makes. Write an equation for P, in terms of x, representing harpers total pay on a day on which she sells x dollars worth of computers.
Answer:
P=0.01x+100
Step-by-step explanation:
what is the image (-2,-5) after a dilation by a scale factor of 2 centered at the origin
Answer:
Step-by-step explanation: (-4,-10)
Simplify: (4 – 5) – (13 – 18 + 2).
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
1 is corr
Step-by-step explanation:
I might be wrong sorry if I am
Answer:
C. 1
Step-by-step explanation:
UGENT PLZ HELP FAST
The following statement is an example of: every quiz has been easy, therefore the test will be easy
WRONG QUIZES ARE HARDER THEN THE ACTUALLY TEST
JUST SAYIN G
Answer:
what exacually is the question
Step-by-step explanation:
2. Select the three (3) equations that are equivalent to the equation
X-0.10x+2.5 = 45.5
Show how you determined your answers.
A. 0.90x+2.5=45
B. 0.90x=43
C.0.90x=45.5
D. 1.10x+2.5=45.5
E. 2(x-0.10x+2.5)=91
Answer:
B. 0.90x=43
E.2(x-0.10x+2.5)=91
Step-by-step explanation:
Given equation:
x-0.10x+2.5 = 45.5
Let us simplify this;
Collect like terms;
x - 0.10x = 45.5 - 2.5
Simplify;
0.9x = 43 (Option A)
Also;
x-0.10x+2.5 = 45.5
Simplify by multiplying both sides by 2;
2(x - 0.10x + 2.5) = 2(45.5)
2(x - 0.10x + 2.5) = 91.0
Also;
x-0.10x+2.5 = 45.5
0.9x + 2.5 = 45.5
Those are the three scenarios
how do you work out 7.62 + 5.97 + 3.6 =?
Answer:
17.19
Step-by-step explanation:
First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)
What is equivalent to 5x+2y=12
Answer:
A
Step-by-step explanation:
find the value of x. (5x+4) 49
Answer:
X=9
Step-by-step explanation:
5 multiplied by 9 is 45 and 45 plus 4 is 49
Answer:
9
Step-by-step explanation:
For which value of x is the function 2x^2 + 3x + 1/x - 1 g(x) undefined?
Answer:
See below
Step-by-step explanation:
We have
[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]
The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.
Therefore, the domain of the function can be written as
[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]
attached is my problem
Answer:
f(x) = 3x - 3
Step-by-step explanation:
First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.
Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.
f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.