Write the function in vertex form. y=x^2+5x-9

Answer:

63

Step-by-step explanation:

Step 1: Define

f(x) = -x - 12

f(-5) is x = -5

f(-3) is x = -3

Step 2: Find f(-5)

f(-5) = -(-5) - 12

f(-5) = 5 - 12

f(-5) = -7

Step 3: Find f(-3)

f(-3) = -(-3) - 12

f(-3) = 3 - 12

f(-3) = -9

Step 4: Find f(-5) × f(-3)

-7 × -9

63

Answer:

a

[tex]A_w  =  1.667  \ hour [/tex]

b

 [tex]b  =  0.667 \  hour  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean number of ticket per hour is  [tex]\mu  =  12 \  tickets[/tex]

   The  mean number of customers arrive to purchase tickets each hour is [tex]\lambda  =  8 \  customers[/tex]

    Generally the average time the ticket buyer must wait is mathematically represented as

      [tex]A_w  =  \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]

=>    [tex]A_w  =  \frac{8 }{ 12 [12-8]}[/tex]

=>     [tex]A_w  =  1.667  \ hour [/tex]

Generally the portion of time is the ticket seller busy is mathematically represented as

     [tex]b  =  \frac{\lambda}{ \mu}[/tex]

=>    [tex]b  =  \frac{8}{ 12} [/tex]

=>    [tex]b  =  0.667 \  hour  [/tex]

Answer:

-0.8

Step-by-step explanation:

hope this helps :3

Answer:

-4/5 for fraction or -0.8 for decimal

Step-by-step explanation:

Answer:

27.4 metres

Step-by-step explanation:

Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5

= -4.9(3)^2+22(3)+5.5

= 27.4

At 3 seconds the ball is 27.4 metres above the ground.

Answer:

21

Step-by-step explanation:

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

Learn more about triangles here:

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?

Answer:

7.2

Step-by-step explanation:

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

Answer:

Y(2)= 2120+ 48= 2168

Step-by-step explanation:

The given equation is

Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t

Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are

Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0)  + 24 (1)

Y(1)= 2120 + 24 = 2144   ( for year =1)

Y(2)= 2120+ 48= 2168    ( for year =2)

Y(3)= 2120 + 72= 2192   ( for year =3)

where t is the number of years.

So for the next year the fourth quarter sales are predicted to be 2168.

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

    Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

             (Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

             Hence, measure of diagonal 'd' will be 14.765 inches.

Learn more about the Pythagoras theorem here,

https://brainly.com/question/12306722?referrer=searchResults

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

Step (1)

[tex]f(x) = 3x - 2[/tex]

[tex]g(x) = {x}^{2} - 5 [/tex]

_________________________________

Step (2)

We need to find f(2) first ;

To do this we must put 2 instead of the x in f(x) function.

Let's do it :

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

_________________________________

Step (3)

Now we are going to find g( f (2) ) ;

Look :

[tex]g( \: f(2) \: ) = g(4)[/tex]

So we want to find g(4) ;

which means we must put 4 instead of the x in g(x) function.

Let's do it :

[tex]g(4) = ({4})^{2} - 5 [/tex]

[tex]g(4) = 16 - 5[/tex]

[tex]g(4) = 11[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

You are correct, and you could also write an expression where m = money, p = people, and v = vehicle

m · p · v = ___

I hope this helps you ^‿^

Answer:

I think she gets 1 pound per 1.70$

Step-by-step explanation:

16/9 is 1.7

Answer:

The amplitude of the function is 48

The period of the function is 28

The graph has a vertical shift of   48  units.

Step-by-step explanation:

just took the quiz

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

              3x = 66

                x = [tex]\frac{66}{3}[/tex]   = 22

The first term of the sequence is 22

Answer:

-11x -5

Step-by-step explanation:

MARK BRANIEST

Answer: -11x-5

Step-by-step explanation: First, combine like terms which means -4x and -7x which gives you -11x, and then you combine 3 and -8 which gives you -5. Then it gives you to -11x-5

Step-by-step explanation:

Well you have to find two points on the line like points (0,2) and (2,-2)

Then you do y2-y1/x2-x1

You should be able to know what answer it is now!

Hope this helps <3

Answer:

a: copper wire is the largest

b: he will have both 32 if he cuts the copper shorter

Step-by-step explanation:

Answer:

$10 - $13 is -3, which menas he is $3 short.

Step-by-step explanation:

Answer:

take the amount Jaun has ($10) and subtract it from the amount he needs ($13). you will get 3$ which is the amount of money he is short.

Step-by-step explanation:

Hope this helps you

Answer:

$3626

Step-by-step explanation:

1700*(1+0.06)^13=3625.978

Answer:

7.010 if it's wrong im sorry

Answer:

  1/8 room

Step-by-step explanation:

  (3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms

With 3/4 roll of wire, the electrician can wire 1/8 of a room.

The coordinates of B is (-6, -7)

The given parameters are

A = (4, -3)

M = (-1, -5)

The midpoint of a line is calculated as

M = 1/2(x1 + x2, y1 + y2)

So, we have

(-1, -5) = 1/2 * (4 + x, -3 + y)

This gives

(-2, -10) = (4 + x, -3 + y)

Solve for x and y

4 + x = -2

-3 + y =-10

Evaluate

x = -6 and y = -7

Hence, the coordinates of B is (-6, -7)

Read more about midpoints at:

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...................................

Answer:

The simplified ratio is 19:9.

Step-by-step explanation:

Answer:

19:9

Step-by-step explanation:

First, make it a fraction. 95/45. Then simplify by 5.

Answer:

I don't know what your asking, but if your asking about colors here you go.

Step-by-step explanation:

Green = G

Blue = B

Black = BL

Yellow = Y

Orange = O

Grey = GR

Purple = P

Red = R

Pink = PI

Thats all that I can think of right now

Answer:

Relation

Step-by-step explanation:

The domains, 0,1,2,1 repeat! (the 1's repeat twice:)

No it is not a function.

In the x-values there are two ones. Therefore it cannot be a function.