can some help me its number 2

Answer:

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

Step-by-step explanation:

x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )

y = f(x) = ax² + bx + c

(x, y) ∈ f(x)

~~~~~~~~~

{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }

a(0)² + b(0) + c = - 2 ⇒ c = - 2

a(3)² + b(3) + ( - 2) = - 5  

9a + 3b - 2 = - 5 ⇒ 3a + b = - 1

[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a

[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]

3a + ( - 6a) = - 1

a = [tex]\frac{1}{3}[/tex]

b = - 2

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

The equation of the parabola for the given values is y = x²/3 - 2x - 2.

A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.

The general equation for the parabola is given as,

y = ax² + bx + c

Where c is the y-intercept.

Substitute c = -2 as per the question to obtain,

y = ax² + bx - 2

At (3,-5) the parabola has minimum value which implies y' = 0 as below,

y' = 2ax + b = 0

Substitute x = 3 to obtain,

2a × 3 + b = 0

=> -6a = b

And, y = -5 at x = 3 which gives,

-5 = 3²a + 3b - 2

=> 9a + 3b = -3

Substitute b = -6a to get,

9a - 18a = -3

=> a = 1/3

Which implies b = -6 × 1/3 = -2

Now, the equation for the parabola becomes as below,

y = x²/3 - 2x - 2

Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.

To know about parabola click on,

https://brainly.com/question/4074088

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Answer:

B and C are not the solution of y=3x-8

A and D are the solution of y=3x-8

Substitute x-values to the equation.

Remember that (x, y).

Answer:

-9/2

Step-by-step explanation:

Answer:

x = -4.5

Step-by-step explanation:

90 = -20x

-90 = 20x

-90/20 = x

x = -4.5

Leave a like and mark brainliest if this helped

Answer:

b

Step-by-step explanation:

Answer:

Explanation:

since this triangle is a right-angled triangle and one its angles equals 45° then it's an isosceles right triangle which means that the side opposite 45° (the side to the left) is equal to 13 too.

so according to pythagoras theorem c = √(a²+b²)

x =√(13²+13²)

x = √(169+169)

x = √338

x ≈ 18.38

note: in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!

Answer:7

Step-by-step explanation:

Answer:

$18.55

Step-by-step explanation:

I added the meal and drink then used a calculator and addded that total plus 7% of it then I added 20% of that to get 18.55

12.95+1.50 = x

x + 7% = y

y+ 20%

Answer:

18 days

Step-by-step explanation:

Given, Amount of cat food eaten by each cat per day = 1/4 th of a tin

          Amount of cat food eaten by 2 cats per day = 1/4 × 2 part of a tin = 1/2 of a tin No. of days 9 tins will last = 9 × 2 = 18

Answer:

33 banana muffins

Step-by-step explanation:

11/50 = x/150

50x=1650

50x/50=1650/50

x=33 !

Answer:

the picture is blurry.

Step-by-step explanation:

Step-by-step explanation:

[tex]4(5y - 8 - 2) = 145 - 15 \\ 4(5y - 10) = 130 \\ 5y - 10 = 130 \div 4 \\ 5y - 10 = 32.5 \\ 5y = 32.5 + 10 \\ 5y = 42.5 \\ y = 42.5 \div 5 \\ = 8.5 \: or \: 8\frac{1}{2} [/tex]

Answer:

the answer is 8.5

Step-by-step explanation:

Answer:

b bro

Step-by-step explanation:

Answer:

2130 but see the note below

Step-by-step explanation:

Remark

It does not matter whether the home team or the visiting team got the support. All that matters is the total number of tickets. Just eye balling it looks like about 1500 dollars.

Equation

Total Donation = 5 * (121 students + 158 + 47)

Solution

Total Donation = 5(426)

Total Donation = 2130

Note:

There is a problem with with. 121 students cannot be included in the 158 or in the 47. If they are, there is no way to be sure what the answer is. I have solved it as though there were 3 separate categories. If that isn't so, you will get it  wrong.

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

X=47.68degree

Step-by-step explanation:

tanx=56/51

x=tan^(-1)(56/51)

=47.68

Answer:

What do we know?

SOH CAH TOA

SOH stands for opposite + hypotenuse

CAH stands for adjacent + hypotenuse

TOA stands for opposite + hypotenuse

We know from above: the opposite and the hypotenuse

tanx=56/51

x=tan^(-1)(56/51)

=47.68

-hope this helps you get it correct!, if u need anymore help just ask

Answer: Always negative

Answer:

No

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

$3000

Step-by-step explanation:

I= PRT÷100

where,

I = interest = 900

T= 5

R/100 = 0.06

P = ?

I= PRT/100

900= P × 5 × 0.06

P = 900÷ 0.3

P= 3000

Answer:

1st statement is true

2nd is false (amplitude is (max - min) ÷ 2 so (5.8 - 4.6) ÷ 2 = 0.6)

3rd is true

4th is false (frequency is the reciprocal of period, they can't be the same)

it takes less time to get to the school .-.

Answer:

8

Step-by-step explanation:

The domain is from the points (-4,0) through (4,0).

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test on EDGE 2022

Answer:

C. 12y - 30

Step-by-step explanation:

6 * 2y = 12y

6 * -5 = -30

12y - 30

Answer:

( x + 2 )² + ( y - 6 )² = 49

Step-by-step explanation:

→ Write the form of an equation of a circle

( x - a )² + ( y - b )² = r²

→ Substitute in the centre remembering to switch the signs

( x + 2 )² + ( y - 6 )² = r²

→ Substitute in radius

( x + 2 )² + ( y - 6 )² = 49

Answer:

30 degrees

Step-by-step explanation:

it is 30 degrees