the answer is
[tex] \frac{ {x}^{3} - 5x + 6}{x - 3} [/tex]
Answer: maybe this image will help you
Write the equation of a parabola that has vertex (2.5, 2.75) and passes throught the point (1,5).
Answer:
y = (x - 2.5)^2 + 2.75
Explanation:
y = a(x - h)^2 + k - Vertex form
y = a(x - 2.5)^2 + 2.75 - Replacing h with 2.5 and k with 2.75
5 = a(1 - 2.5)^2 + 2.75 - Replacing x with 1 and y with 5
5 = 2.25a + 2.75 - Doing (1 - 2.5)^2 = 2.25 times a = 2.25a
2.25 = 2.25a - Subtracting 2.75 on both sides
a = 1
y = 1(x - 2.5)^2 + 2.75 - Replacing a with 1
So the equation of a parabola is y = (x - 2.5)^2 + 2.75
The vertex of a parabola is the minimum or the maximum point of the parabola
The equation of the parabola is [tex]\mathbf{y = a(x -1)^2 + 5}[/tex]
The given parameters are:
[tex]\mathbf{(x,y) = (2.5,2.75)}[/tex] --- point
[tex]\mathbf{(h,k) = (1,5)}[/tex] -- vertex
A parabola is represented as:
[tex]\mathbf{y = a(x -h)^2 + k}[/tex]
Substitute the given values in the above formula
[tex]\mathbf{2.75 = a(2.5 -1)^2 + 5}[/tex]
[tex]\mathbf{2.75 = a(1.5)^2 + 5}[/tex]
[tex]\mathbf{2.75 = 2.25a + 5}[/tex]
Subtract 5 from both sides
[tex]\mathbf{2.25a =-2.25}[/tex]
Divide both sides by 2.25
[tex]\mathbf{a =-1}[/tex]
Substitute [tex]\mathbf{a =-1}[/tex] and [tex]\mathbf{(h,k) = (1,5)}[/tex] in [tex]\mathbf{y = a(x -h)^2 + k}[/tex]
[tex]\mathbf{y = a(x -1)^2 + 5}[/tex]
Hence, the equation of the parabola is [tex]\mathbf{y = a(x -1)^2 + 5}[/tex]
Read more about parabolas at:
https://brainly.com/question/21685473
Use the graph to answer the question,
Distance Jumped
12
10
8
Number of Feet
6
2.
0
Jim
Matt
Sam
Name
How much farther did sam jump than Matt?
O A
I AIR
OD. 4ft
B. 2 ft
O 6.5
O c. at
Answer:
f
Explanation:
f
offspring from the first cross
Complete the square:36x=-4x^2-50
Answer:
The Answer is the following :
Explanation:
Select all the correct answers.
Which of the following questions should your peer reviewer answer while reading your persuasive essay?
What are the main points of the argument?
Will the teacher be impressed by the essay?
How many pages does the essay contain?
How did the author back up each point?
Answer:
a,d
Explanation:
edge 2020
¿cual es la respuesta correcta? un rombo se diferencia de un cuadrado en.... 1- que puede tener sus lados iguales 2a2 2-que puede tener sus angulos iguales 2a2 3-ambas respuestas anteriores son correctas porfavor, necesito que me ayuden, es para ahora
Answer:
3.
Explanation:
Se diferencias en sus ángulos: el cuadrado tiene cuatro ángulos rectos y el rombo dos á obtusos y dos ángulos agudos.
Se diferencian en que, el cuadrado tiene sus 4 lados iguales y el rombo tiene 2 lados iguales.
Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.
Answer:
1. 66.6%
2. 71.42%
3. 37.5
Explanation:
percent of decrease= (new - old) /old
1. Chad's play time decreased by 66.66%.
2. Karen's number of Eevees decreased by 71.42%.
3. The price of a bag upgrade decreased by 37.5%.
How do we calculate?1.
Chad's original play time was 3 hours per day. His new play time is 1 hour per day. The percent decrease is:
(Original - New) / Original * 100%
= (3 - 1) / 3 * 100%
= 2 / 3 * 100%
= 66.66%
2.
Karen's original number of Eevees was 7. Her new number of Eevees is 2. The percent decrease is:
(Original - New) / Original * 100%
= (7 - 2) / 7 * 100%
= 5 / 7 * 100%
= 71.42%
3.
The original price of a bag upgrade is 200 coins. The sale price is 125 coins. The percent decrease is:
(Original - Sale) / Original * 100%
= (200 - 125) / 200 * 100%
= 75 / 200 * 100%
= 37.5%
Learn more about percent decrease at:
https://brainly.com/question/14808025
#SPJ2
The layers of rock in the foreground of this photo are also found near the top of the flat area in the background
A. Vibration
B. Shearing
C. Uplift
D. Compression
Answer: B Shearing
Explanation: I put compression and got it wrong and there is no way it could be Vibration or Uplift It's shearing good luck
Answer:
C. uplift
Explanation:
got it correct :)
the first documentation about slaverly in human history can be found in the
Answer:
Hammurabi
Explanation:
Because of their sociological social make-up, we are certain that Slavery was not part of hunter-gatherer cultures.
May I please have brainliest
Hope this helps
(∵°∪°∴)
When Samantha travels south from her hometown in Philadelphia, she often takes on a Southern accent and
uses words and phrases unique to the south when speaking with others. This is an example of the
Answer:
Chameleon Effect
Explanation:
The Chameleon effect is the change of behavior depending on the environment around the person.
Since Samantha is using words and phrases unique to the south while speaking with others, she is adapting her behavior to her surroundings and social environment.
Let me know if this helps!
Please help me I have no idea how to do this!
You want to get an ice cream sundae. You want to have 2 flavors of ice cream and 3 different toppings. If there are 10 flavors of ice cream and 8 different toppings, how many ways can you make your Sundae?