Answer:
[tex]y=(x-3)^2-6[/tex]
Step-by-step explanation:
[tex]y=x^2-6x+3[/tex]
This is written in the standard form of a quadratic function:
[tex]y=ax^2+bx+c[/tex]
where:
ax² → quadratic termbx → linear termc → constantYou need to convert this to vertex form:
[tex]y=a(x-h)^2+k[/tex]
where:
(h,k) → vertexTo find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
[tex]x=-\frac{b}{2a}[/tex]
Using your original equation, identify the a, b, and c terms:
[tex]a=1\\\\b=-6\\\\c=3[/tex]
Insert the known values into the equation:
[tex]x=-\frac{(-6)}{2(1)}[/tex]
Simplify. Two negatives make a positive:
[tex]x=\frac{6}{2} =3[/tex]
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
[tex]y=3^2-6(3)+3[/tex]
Simplify using PEMDAS:
[tex]y=9-18+3\\\\y=-9+3\\\\y=-6[/tex]
The value of y is -6 (3,-6). Insert these values into the vertex form:
[tex](3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)[/tex]
Insert the value of a and simplify:
[tex]y=(x-3)^2-6[/tex]
:Done
Help please base 20 points
Answer:
12003612721
Step-by-step explanation:
im pretty sure you multiply it by its self 4 times
Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know
Step-by-step explanation: I tried
Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get
Use synthetic division 6. (3x2 – 13x – 10) ÷ (x + 5)
Answer: 64
Step-by-step explanation:
Is this proportion true or false? 5/9 = 9/8 *
Answer:
False
Step-by-step explanation:
have a great dayyy
Answer:
False
Step-by-step explanation:
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Answer: Marcus is correct.
i got it right on Edge2020
Step-by-step explanation:
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.
Marcus's claim is correct.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
Read more about transformation at:
https://brainly.com/question/4539110
I need help with how will we find y please someone tell me
Answer:
as it is a rectangle[tex]{:}\longrightarrow[/tex][tex]\sf 90+52+y=180[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 142+y=180 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=180-42 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=38°[/tex]
(6.72 (-3.5)
plz help
Answer:
-23.52
Step-by-step explanation:
Just multiply them man
At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels
Answer:
20
Step-by-step explanation:
Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?
Answer:
1 1/2
Step-by-step explanation:
3/2= 1 1/2
What is the mDEF? plz help
Answer:
m∠DEF = 148°
Step-by-step explanation:
The total sum of angles inside a triangle is 180°
m∠FDE + m∠EFD + m∠DEF = 180°
We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x
m∠FDE = m∠EFD
2x + 8 = 3x + 4; subtract 2x from both sides
8 = x + 4; subtract 4 from both sides
x = 4; now we can substitute into equations
m∠FDE = m∠EFD;
2(4) + 8 = 3(4) + 4
8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16
To solve for m∠DEF
m∠FDE + m∠EFD + m∠DEF = 180°
16 + 16 + m∠DEF = 180
m∠DEF = 148°
can someone please brainlist
Answer:
yes it is very easy
Step-by-step explanation:
Answer:
Yeah l ready did.
Me and you brainlist friends
Step-by-step explanation:
Which of the following sentences could not be used to represent the equation X-5 = -10? D A number subtracted from five is equal to negative ten. A number less five equals negative ten. de Five less than a number is negative ten. ko If a number is decreased by five, the result is negative ten.
Answer:
Option A is correct
Step-by-step explanation:
The equation that the first option is talking about would be 5-X=-10
Mrs. Delgado said that 21 out of 25 students passed the test. What percent did NOT pass the test?
Answer:
16% of the students did not pass the test.
Step-by-step explanation:
Since 25 is 1/4 of 100, multiply it by 4 to equal 100.
Now multiply the percentage passed by 4. This equals 84.
84 out of 100 = 84%
So, the rest of the students(the ones who did not pass) is 16% of the class.
CAN SOMEONE HELP IM SO CUNFUSED
Answer:
m = 1/3
Step-by-step explanation:
Answer:
Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1
from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.
So to find this answer we could graph the points or just find out how many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)
From -2 to 7 is 9 units and from 1 to4 is 3 units
The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3
Step-by-step explanation:
please help!! lol y=?x+?
Answer:
y= 4x-9
Step-by-step explanation:
rearrange 24(x-y)=5x-3 to make y the subject
Answer:
y = [tex]\frac{19x+3}{24}[/tex]
Step-by-step explanation:
Given
24(x - y) = 5x - 3 ← distribute parenthesis on left side
24x - 24y = 5x - 3 ( subtract 24x from both sides )
- 24y = - 19x - 3 ( multiply through by - 1 to clear the leading negative )
24y = 19x + 3 ( divide both sides by 24 )
y = [tex]\frac{19x+3}{24}[/tex]
Is X +3 a factor of 2X squared minus 2X -12
Answer: No, x+3 is not a factor of 2x^2-2x-12
========================================================
Explanation:
Let p(x) = 2x^2 - 2x - 12
If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).
Compare x+3 = x-(-3) to x-k to find that k = -3.
Plug x = -3 into the function
p(x) = 2x^2 - 2x - 12
p(-3) = 2(-3)^2 - 2(-3) - 12
p(-3) = 12
We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12
----------------------------------------
Let's see what happens when we factor p(x)
2x^2 - 2x - 12
2(x^2 - x - 6)
2(x - 3)(x + 2)
The factors here are 2, x-3 and x+2
Which equation best represents the relationship between x and y in the graph?
F.y=2x + 4
G. Y= 1/2x + 4
H.y=2x-2
J.y=1/2x-4
Answer:
F
Step-by-step explanation:
Because
Use double intercept formula
Y/b + x/a = 1
Where a and b is intercept
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answer:
y=1/4x+5
Step-by-step explanation:
15 of the 25 employees at Carlo’s Car Repair wear contact lenses. What percent of the employees wear contact lenses?
Answer:
60%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
What is equivalent expression 1/x3=?
A. (-x)3
B. X 1/3
C. X-3
Answer:
[tex]C) x^{-3}[/tex]
Step-by-step explanation:
[tex]x^{-3}\\=\frac{1}{x^3}[/tex]
15.3614 - 2.0573; hundredths
Number 10.
Toni opened her piggy bank. She found
that she had saved 712 quarters, 633
dimes, 482 nickels and 17,800 pennies.
What is the ratio of quarters to
pennies?
Answer:
712:17800
Step-by-step explanation:
I need an answer ASAP Thank you!
Answer: The answer is 25/33
Step-by-step explanation:
Two eighth-grade classes are selling chocolate bars to raise money for an end-of-year field trip. One class is selling chocolate bars for $3.00 each and has already raised $275.00. The other class is selling chocolate bars for $3.50 each and has already raised $250.00. Which equation can be used to calculate c, the number of additional chocolate bars each class needs to sell, so that the total amount raised is the same for both classes?
Answer:
Step-by-step explanation:
you add both $275.00 and $250.00 ($525.00) then and $3.00 and $3.50 ($6.50) then divide $525.00 by $6.50 and then you answer would be $88.00
so c = $88.00
Answer:
3.50c + 250.00 = 3.00c + 275.00
Step-by-step explanation:
Which of the following is equivalent to the complex number i^7
Answer:-i
Step-by-step explanation: :)
It is not that hard im just a little lazy <3
whoever answers it right next gets brainliest
Allister, who is 5 feet tall, is standing three feet from a mirror lying on the ground. When he looks into the mirror, he can just see the top of a tree that is 24 feet away from the mirror. Make a sketch of this situation, and use it to calculate the height of the tree
Answer:
40 feets
Step-by-step explanation:
Given that :
Observer's height = 5 feets
Observer's distance from the mirror = 3 feets
Distance of tree away from the mirror = 24 feets
To obtain the height of tree:
Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)
Od / Td = Oh / Th
3 / 24 = 5 / Th
3 * Th = 24 * 5
Th = 120 / 3
Th = 40 feets
Hence, the height of tree is 40 feets
mrs.cook wants you to send a package to her friend and in spain. it costs 3$ for the packaging and then $0.20 for each ounce if she paid $15.60 how heavy was the package? be sure to define your variable and show your equation
Answer:
assuming you want the answer in ounces still, its 63 ounces
Step-by-step explanation:
total = $3 + 0.20x
15.60 = 3 + 0.20x
12.60 = 0.20x
63 = x
Answer:
63 ounces
Step-by-step explanation:
0.20x+3= 15.60
-3 -3
0.20x= 12.60
0.20 0.20
x= 63
Find the greatest solution to the following system of equations. Write as x= ?
y=x^2+x-2 and y=-x+1
Answer:
we have x=1, y=0 and x=-3, y=4
Step-by-step explanation:
We need to solve the equations: [tex]y=x^2+x-2 \ and \ y=-x+1[/tex]
Let:
[tex]y=x^2+x-2--eq(1)\\ y=-x+1---eq(2)[/tex]
Putting value of eq(2) into eq(1)
[tex]-x+1=x^2+x-2\\Solving:\\x^2+x-2+x-1=0\\x^2+2x-3=0\\Factorising:\\x^2+3x-x-3=0\\x(x+3)-1(x+3)=0\\(x-1)(x+3)=0\\x-1=0 \ or \ x+3=0\\x=1 \ or \ x=-3[/tex]
Now finding values of y for x=1 and x=-3
[tex]For \ x=1, \\y=-x+1 \\y=-1+1 \\y=0\\For \ x=-3\\ y=-x+1\\y=-(-3)+1 \\y=3+1\\y=4[/tex]
So, we have x=1, y=0 and x=-3, y=4