graph the f(x)=(x+2)^2+3

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Step-by-step explanation:

Root of the function, where y = 0

f(x) = x² + 2x - 1

0 = x² + 2x - 1

x² + 2x - 1 = 0

x² + 2x = 1

x² + 2x + 1 = 1 + 1

(x + 1)² = 2

x + 1 = ±√2

x = -1 ± √2

Roots → x = -1 ± √2

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

Answer:

The answer is C

Step-by-step explanation:

I know this because if you 5 plus 3 is 8 right not the other ones so if you just add zero's it will be 50 plus 30 and then that will equal 80 so it is for every 5 question's he got 3 wrong.

Hope this helps ('o')

Given : In the recent maths test, Jeremy answered 48 questions correct out of 80 total questions. Which statement is correct ?

Solution :

As we know that total no. of questions is 80

Now, as per the options we get 80/5 = 16

However the third option seems to be the accurate as 3(16) = 48

So, we get to know that option C is correct

Answer:

All its sides are of equal lengths.

and

It has opposite parallel sides.

Step-by-step explanation:

Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

Hello, hope you are having a nice day.

t^3*t^9

When we multiply numbers with the same base, we add the powers.

t^12

That's the answer. Hope it helps

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Answer:

400

cause 4 is in the hundreds column

Answer:

a = d

Step-by-step explanation:

I recommend writing the math out.

a = d ≠ s

d can not be equal to s, the same why a can not be equal to s. a and d are the same. a is equal to d, so it can not be a ≠ d. By process of elimnation, that leaves us with a = d

Answer:

Neither Parallel nor Perpendicular

Step-by-step explanation:

Convert 3y - 2x = -24 to slope - intercept form

3y - 2x = -24

3y = -24 + 2x

3y = 2x - 24

y = 2/3x - 8

They are neither parallel or perpendicular

Parallel lines have the same slope, but these are different

Perpendicular lines have the opposite inverse (negative reciprocal) slope, but these are just reciprocals

-Chetan K

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48

Answer:

6

Step-by-step explanation:

3 + 3 = 6

Answer:

6 hehe

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

25/15 = 10/6

:))

Answer:

6in.

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

Answer:

5 hours

Step-by-step explanation:

15 times 5 is 75 plus 25 is 100

20 times 5 is also 100

Answer:

depending on the question I suggest only converting at the end

sorry if it doesn't help

by the way a cm needs to be times by 100 to become a meter

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Thx for the points:) have a nice day

For the first question = no because no sides matchup

Answer:

44%, and 4

Step-by-step explanation:

The grid has 5 rows and 5 columns so we have 5*5 = 25 squares.

25 squares represent 100 %  of the grid

a) In the grid 11 of the 25 total squares are blue, so if

25 squares are 100%

11 squares will be x%

x= (11* 100) / 25 = 1100/ 25 = 44 %

b) we find the number of squares that gives us 60 %

25 squares are 100%

x squares will be 60%

x= (60*25)/ 100 = 15

The question is " How many more squares " so we have to compare with the 11 given ones in part a)

15 -11 = 4

4 more squares will give 60 %  blue grid.  

Answer:

x= 8/5

Step-by-step explanation:

add 2 to both sides

5x=8

divide both sides from 5

x=8/5

Answer:

2

Step-by-step explanation:

bet

Answer:

vertex = (7, - 2 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = x² - 14x + 47

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 14x

y = x² + 2(- 7)x + 49 - 49 + 47

  = (x - 7)² - 2 ← in vertex form

with vertex = (7, - 2 )

Answer:

40:60

Step-by-step explanation:

heres if u need the work,

10:15

40:?

10x4=40

15x4=60

40:60

Answer

she will read for 1 hour

Step-by-step explanation:

:)

Answer:

4 inches

Step-by-step explanation:

The formula is L=√((3×V)/h)

Answer: X = 7/2 or 3.5