Answer: The point (0, 0) corresponds to the point (4, -7)
Step-by-step explanation:
We have the function f(x) = x^3
And we transform this to get:
g(x) = (x - 4)^3 - 7
Here we have a vertical translation and a horizontal shift, let's define these two shifts:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Then if we start with f(x), g(x) is a translation of 7 units down and 4 units to the right.
This means that any point (x, y) that belongs to the graph of f(x), after the transformation will be (x + 4, y - 7)
Then the point (0, 0) of the original function corresponds to the point (0 + 4, 0 - 7) = (4, - 7) of the function g(x)
We can check this, we need to evaluate the function g(x) in x = 4
g(4) = (4 - 4)^3 - 7= 0 - 7 = -7
g(4) = -7
Then the point (4, -7) belongs to the graph of g(x).
log26x nnnnnnnnnnnnnnnnnnnnnnnnnn
Answer:
? what
Step-by-step explanation:
Answer:
what?......................
Given a cylinder with a radius of 8 inches and a height of 20 inches. Which of
the following choices is NOT a possible cross section of this cylinder?
eu ainda n sei mas se alguém responde vai me ajudar tmb
Your teacher gave you 78 of a bag of candy, but she only gave your friend 14 of a bag. How much more of the bag did your teacher give you than your friend?
Answer:
64
Step-by-step explanation:
78 - 14
i dnt understand this
Answer:
3017.54
Step-by-step explanation:
3.14 x radius(squared)
31 squared =961
3.14 x 961=
I need answers to this
Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
What is the example please tell meeee !!!!!!3!!:!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2:3 and 3:2....
help all it says is Rise over Run
Answer:
(3,-4)
Step-by-step explanation:
rise=go up
run=go left or right
if you go left its negitive if you right its positive
always start with the lower dot
hopes this helps id you need more help just message me
Which of the following statements are true? select all that apply.
Answer:
what are the statements?
What is 9 (4x^2 - 3) simplified?
I need help plz help me !!
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Answer:17
Step-by-step explanation:
Whoever gets this correct gets brain, 5 stars and a thanks! An explanation of it would be amazing! Tysm!
Answer:
D: 12
Step-by-step explanation:
1) So what I did at first was convert the fractions into decimals.
(Personally, this makes it easier, for me at least)
[tex]\frac{1}{4} = 0.25\\[/tex][tex]\frac{3}{5} = 0.60[/tex]2) The problem states that for every 0.25 cups of broccoli, 0.60 grams of fiber are added as well to the mix. You can also convert this into a fraction. (It doesn't matter which one is the numerator/denominator, but for this example, I used the 0.25 cups of broccoli as the numerator.
[tex]\frac{broccoli}{fiber} =\frac{0.25}{0.60}[/tex]3) Next step would be making another fraction. This time, the fraction is for the 5 cups of broccoli. Since we don't know the amount of grams for the fiber, we will replace it with an "x".
[tex]\frac{broccoli}{fiber} =\frac{5}{x}[/tex]4) Realize, that | [tex]\frac{0.25}{0.60} =\frac{5}{x}[/tex] | To figure out the answer to this part, you can cross-multiply
[tex]0.25x = 5(0.60)[/tex][tex]0.25x = 3[/tex]5) Then at last, divide both sides by [tex]0.25[/tex] and you'll get:
[tex]x=12[/tex]Sorry this may have taken a long time; I just wanted to make sure everything was correct. Hope you do well on math, whether it's a test, or just homework. Good luck! :D
Please help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
EG is perpendicular to HF
Step-by-step explanation:
We know this because in order for two segments to be perpendicular there has to be a right angle. And there is a right angle therefore segment EG is perpendicular to segment HF
Answer:F is perpindicular to G
Step-by-step explanation: Well I think this because they both have angles but im kinda confused to this is just a guess
I need this done fast, it's due today!
Answer:
(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)
Step-by-step explanation:
We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)
Answer:
y=50x(.3)+30
Step-by-step explanation:
You get an average of $50 per week and then work 30 hours per week but the outcome is multiplied by .30 from the sales commision so the answer would be y=50x(.3)+30
what is the value of the 4 in the number 5,942
Answer:
tenths
Step-by-step explanation:
[tex]6^{3}[/tex] times [tex]6^{7}[/tex]
1.[tex]6^{21}[/tex]
2.[tex]36^{21}[/tex]
3.[tex]6^{4}[/tex]
4.[tex]6^{10}[/tex]
6^10
Or
Answer 4
This is because 3+7 is 10
For future problems, exponents can be added and that’s how you get the answer :)
Answer:
6^10
Step-by-step explanation:
When u ve base that are the same(6) u can add the exponents (7+3 = 10)
And keep the base the same
Grace cut 3 pieces of ribbon; each piece was 25 of a foot long. How many feet of ribbon does she have in all? Express your answer as a mixed number (the sum of a whole number and the remaining fractional units). Draw a number line to represent the problem.
Answer:
one piece = 1/3
Step-by-step explanation:
Answer:
she has 75 feet of ribbon, this number cant be expressed as a mixed number
Step-by-step explanation:
there was some ham in the refrigerator tyrisha used 3/4 of a pound to make sandwiches and jacquel used 7/8 of a pound to make sandwiches if there is now 2 1/2 pounds of ham leftover how much ham was there before tyrisha and jacquel used some
What is the value of the expression 2 + x2.5 when x = 3?
Answer:C. 47
Step-by-step explanation:
Answer:
C. 47
Step-by-step explanation:
I did the calculations
Someone plz HELP ME
Don't skip this question I'M STUCK
Drawing box and whiskers plots
Answer:
Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.
Step-by-step explanation:
help me with this please
What is the volume of the cube shown?
9 tens eqaul's how many ones? someone please help
Answer:
9 tens will be 90 (9x10=90) so there will be 90 ones
Step-by-step explanation:
I think that's what you are asking right?
Answer:
you are 100 percent correct
The right rectangular prism is made of equally sized cubes. If the length of each cube is 1 meter, what is the volume of the right rectangular prism?
v
72 m3
13 m3
44 m3
36 m3
Answer:
72 m3
Step-by-step explanation:
Just multiply every number, 6*3*4=72
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of the rectangular prism? A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.
Answer/Step-by-step explanation:
Volume = L*W*H
L = 10.4
W = 5
H = 8
10.4* 5 = 52
L*W = 52
52* 8 = 416
L*W*H = 416
Therefore,
ANSWER: 416
if needed in volume form 416^3
HELPHELPHELPHELPHELPHELPHELP
yes since you multiply the x number by 3 to get y
Please find the square root of this non perfect square please
Answer:
1.41421
Step-by-step explanation:
please help me with my math work, i included the picture so its easier for you
An engineer lives 21 miles east and 22 miles north of a water tower. A bridge she is
building is located 12 miles west and 34 miles south of the water tower. Find the
distance between where the engineer lives and the bridge
Answer:
t
Step-by-step explanation:
find the length of the missing side
Answer: 55.4
Step-by-step explanation:
Remember soh cah toa
tangent = adjacent/opposite
angle is 18 degrees
Opposite is 18
Adjacent is x
So tangent of 18 degrees = 18/x
Use calculator to find tangent of 18 =0.3249
So 0.3249 = 18/x
Reciprocal both sides
3.0777 = x/18
Multiply both sides by 18
x = 55.3983
You may need to round
Help please I need this!!!
Answer:
n and y are incorrect
Step-by-step explanation: