y=x^2-2x-5 vertex form
Hey there! I'm happy to help!
First, we'll want to find the vertex of this parabola.
Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].
In our equation here, our a is 1 and our b is -2.
[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]
Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.
y=1²-2(1)-5
y=1-2+5
y=-1+5
y=4
So, our vertex is at (1,4).
Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.
y=(x-1)²+4
Have a wonderful day and keep on learning! :D
calculate Z
z = 81
z = 30
z = 15
z = 20
choose the only correct answer
A studio charges a sitting fee of 25$ plus 7$ per each portrait sheet ordered. Write an expression that can be used to find the total cost to have photographs taken. Then the cost of purchasing twelve portrait sheets.
Hi
let's call X number of photo ordered.
So total Cost is C(x) = 7X+ 25
Il let you calculate for X = 12 . Have fun
Find the sum of 2√5 AND 4√3 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answer:
hey why you delete my answers
please help i need it thank you so much i will mark brainliest if correct.
Answer:
B. its B
Step-by-step explanation:
The answer is B! :)
Determine whether the graph is the graph of a function.
Yes or no.
Find the measure of the given angle.
Answer:
angles of half a circle is 90
its 90 degrees
Answer:
90°
Step-by-step explanation:
the triangle is inside a circle and touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle
order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16
Answer:
-2 1/3, 1/16, √15, 4^2
Following order from least to greatest.
Need the awnser please
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90° , then
5x + 7 + 8x - 21 = 90 , that is
13x - 14 = 90 ( add 14 to both sides )
13x = 104 ( divide both sides by 13 )
x = 8
Then the measure of the angles are
5x + 7 = 5(8) + 7 = 40 + 7 = 47°
8x - 21 = 8(8) - 21 = 64 - 21 = 43°
--------------------------------------------------------
let the angle be x then its complement is (90 - x) and
x = 2(90 - x) + 21
x = 180 - 2x + 21
x = 201 - 2x ( add 2x to both sides )
3x = 201 ( divide both sides by 3 )
x = 67
The measure of the angle is 67°
find the smallest number that should be multiplied to 3993 to make it perfect cube
[tex]cube \: and \: cube \: root \: [/tex]
Answer:
First, let us prime factorise the given number
3993 = 3×11×11×11
Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.
So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)
So, the answer is 3
Find the midpoint of the line segment with the given endpoints. (6.-3), (8.-2)
Hey man, refer the attachment.
4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-
Answer:
w = 6.
Step-by-step explanation:
5w + 3 = 4w + 9
5w - 4w = 9 - 3
w = 6
Then, check your work!
5(6) + 3 = 4(6) + 9
30 + 3 = 24 + 9
33 = 33
So, w = 6 will be the correct answer.
Hope this helps!
[tex]\tt\huge\red{Please \: help \: me!}[/tex]
First find Divisor
Two zeros are -3,-2[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]
[tex]\\ \sf\longmapsto x^2+5x+6[/tex]
Dividend given by
[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]
We know
[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]
Remainder is 0[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]
[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]
[tex]\\ \sf\longmapsto x^2-6x+8[/tex]
Now factor
[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]
[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]
Hence all zeros are
2,-2,-3,4At a competition with 7 runners, medals are awarded for first, second, and
third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.
Answer:
35 different combinations
Step-by-step explanation:
This would be a combination because the same person cannot get all three medals so permutation is not the correct way to calculate this. We use the formula C(n,r)=(nr)=n!(r!(n−r)!)=? where n is the number of total objects and r is the number of objects taken from the total.
brainliest pls . . . uwu
Help please and thank you (Algebra 1)
Hi ;-)
[tex](-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}[/tex]
I dont get how to do this please help me
solve for the absolute value equation show your work
Step-by-step explanation:
5.
[tex] | \frac{x}{3} +{ \frac{2}{5} } | = 2[/tex]
[tex] \frac{x}{3} = \frac{6}{5} [/tex]
[tex]5x = 18[/tex]
[tex]x = \frac{18}{5} [/tex]
and
x/3=-12/5
x=-36/5
Evaluate the expression for x = -3 and y = - 4.
2x+2y=__.
Answer:
-14
Step-by-step explanation:
Substitute the values for the variables.
[tex]2(-3)+2(-4)\\-6-8\\-14[/tex]
Answer:
-14
Step-by-step explanation:
cause you do 2(-3) + 2(-4) = -14
How to calculate the distance between two runners?? Ex) A finish 100m in 10.93 sec, and B finish in 10.49 sec, by how many meters did B won?? (Pls help me)
Answer:
The average speed of A is
100m ÷ 10. 93s = 9.14m/s
The average speed of B is
100m ÷ 10. 49s = 9. 53m/s
The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s
The speed that B is faster than A is
0. 42m/s × 10. 49s = 4. 40m
So, B won by 4. 40m
Step-by-step explanation:
Find the value of x (trig)
According to the figure:-
P=13H=25We know that Sin∅=P/H
Hence Sinx°=13/25
[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]
Be brainlyWhat is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.
Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
help needed urgently pls
Answer:
The sum of the larger and smaller number is 15.
Step-by-step explanation:
Let x = smaller number
Let y = larger number
Set up a system of equations.
2y - x = 21
2y + x = 27
Add the two equations together to cancel out x
4y = 48
Divide both sides by 4
y = 12
Plug value into either equation to find x
2(12) - x = 21
24 - x = 21
x = 3
12 + 3 = 15
Find the smallest number which is when divided by 25,30and75 leavrs remainder.
Answer
you cant have a remainder bigger then your divident
Step-by-step explanation:
Answer:
The Lowest common multiple of 25, 30 and 75 is 150.
What is the prime factorization of 1,100?
John had $200 in his bank account. He made a purchase at the grocery store that was $1.50 more than he had in his account. Select the point o
the number line that represents the balance of his bank account after buying groceries.
Answer: on the number line put -1.50 (1 and a half (1 1/2))
Step-by-step explanation:
$1.50 more than his account is $200.
the balance should be $-1.50
on the number line put -1.50
How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1
Answer:
c. one solution
Step-by-step explanation:
[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]
Answer:
C
Step-by-step explanation:
yes
this is the answer for sure
Given that f(x) = 5(7)*, find f(4)
PLEASE HELP ME ITS SO CONFUSING
Answer:
Step-by-step explanation:
The first thing should always do is find a program that will show you what the graph looks like. Desmos is a free program that suits all graphing questions.
That will give you the answer (which I have labeled for you.)
First make x = 0
That gives you y = 0 + 4 = 4
The point is (0,4)
Now let y = 0
0 = -1/5 x + 4 Add 1/5x to both sides
1/5 x = 4 Now multiply by 5
x = 5*4
x = 20
The point is (20,0)
You need one more point just to confirm your work. I chose x = - 5
When you do the calculation it comes out to y = 5
The point is (-5,5) which is labeled.
cos5xcosx-sin5xsinx=??????????????????
Answer:
cos6x.
Step-by-step explanation:
We use the identity
cosAcosB - sinAsinB = cos(A+B)
so cos5xcosx - sin5xsinx = cos(5x + x)
= cos6x.
Kim is making cookies. She is using a recipe that calls for 1/4 cup of lemon juice. She has a 6 fl oz. bottle of lemon juice. There are 8 fl oz. of lemon juice in 1 cup. How many batches of cookies can she make?
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 cup = 8 fl oz
x cup = 6 fl oz Cross multiply
6 oz * 1 cup = 8 oz x divide by 8
x = 6 oz /8 oz = 3/4 cup
If kim needs 1/4 cup per batch then she will have enough for 3 batches of 1/4 cup each.
which expression are equivalent to the given expression
y^-8 y^3 x^0 x^-2
Answer:
y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5
ok i tried searching up the problem and how to solve it but didn`t come up with much.
i don`t know if this changes anything, but I noticed that some of these answers are opposites
ex (from the sequence you gave me in the comments below) : y^-24, x^-2, y^-5, y^24, x^2, y^5
maybe thats what it meant by matching the expressions?
again, sorry if this wasnt much help i have a small brain DD::