Factor the expression x²+9

Hi there!

[tex]\large\boxed{B. \text{ } x = 2(y + 3)^{2} -2}[/tex]

The transformation formula of a horizontal-facing parabola is:

x = ±a(b(y - k)) + h, where the vertex is at (h, k).

Looking at the graph, we can see a vertex at (-2, -3) with a stretch of 2. The graph is also pointed towards the RIGHT, which means that the coefficient "a" must be positive. Therefore:

The only logical answer choice is B, or x = 2(y + 3)² - 2.

The formula indicates that:

* Vertex at (-2, -3)

* Stretch of 2

* Right-facing parabola

Answer:

The plumber worked for 6.5 hours.

Step-by-step explanation:

$111 - $20 = 91

91 / 14 = 6.5

Answer:

6.5 hours

Step-by-step explanation:

111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!

the cost of a donut is $2 and the equation that represents the given scenario will be:

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.

Let " d" be the cost of a cup of coffee

and "c" be the cost of the donut

Since Each friend ordered a coffee and a donut

And there are 3 friends

Thus,

3(d + 2c) = 21.75

3d + 6c = 21.75

Also given,  a cup of coffee costs $3.25

d = 3.25

Substituting the values in equation 1

9. 75 + 6c = 21.75

6c = 12

c = 2

therefore, the cost of a donut is $2.

Learn more about Linear equations here:

https://brainly.com/question/11897796

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Answer:

The rate of change is increasing, or positive

Step-by-step explanation:

Attached is a link of Mr.Slope, he always helps me.

Answer:

About 820 feet

8.21 exact

Step-by-step explanation:

Multiply length by 3.281

250m * 3.281 = 820.21ft

Answer:

a. 70 miles per hour

b. 840 miles

Step-by-step explanation:

280/4 = 70 miles per hour

70*12 = 840 miles

Answer:

a) 70 miles per hour

b)840 miles

Step-by-step explanation:

a) to find the speed, do distance/time

b) if you do 70 miles an hour, and you want to know 12 hours, just times 70x 12

Answer:

Answer

Step-by-step explanation:

300-28= g x 7

Answer: x=2

Step-by-step explanation: Subtract

3

3

3

from both sides of the equation

2

+

3

=

+

5

2

x

+

3

=

x

+

5

2x+3=x+5

2

+

3

−

3

=

+

5

−

3

2

x

+

3

−

3

=

x

+

5

−

3

2x+3−3=x+5−3

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

+

2

2

x

=

x

+

2

2x=x+2

3

Subtract

x

x

from both sides of the equation

2

=

+

2

2

x

=

x

+

2

2x=x+2

2

−

=

+

2

−

2

x

−

x

=

x

+

2

−

x

2x−x=x+2−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

Answer:

59.40

Step-by-step explanation:

it takes .33 seconds to walk 1 foot so multiply that times 180 and you get 59.4

Answer:

b= 2[tex]\sqrt{66}[/tex] or 16.248

Step-by-step explanation:

5^2 +b^2= 17^2

25 + b^2 = 289

-25              -25

b^2=264

b= 2[tex]\sqrt{66}[/tex] or 16.248

Answer:

counting by 6's

so it would be 69 next if your talking about the left side

or 39 if your talking abt the right side

Hope this helps!

Answer:

 Number & Cost($)

 Feet & Yards

Step-by-step explanation:

  Number & Cost:

      (2, 38), (4, 76)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (76 - 38) / (4 - 2)

                     = 38 / 2

                     = 19             <====== k the constant

      y = kx

      y = 19x

      point (2, 38):    38 = 19(2)   ===>      38 = 38

      point (4, 76):    76 = 19(4)   ===>      76 = 76

      point (7, 133):  133 = 19(7)   ===>    133 = 133

      point (9, 171):   171 = 19(9)   ===>     171 = 171

  Feet & Yards:

      (27, 9), (75, 25)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (25 - 9) / (75 - 27)

                     = 16 / 48

                     = 1/3             <====== k the constant

      y = kx

      y = 1/3x

      point (3, 1):           1 = 1/3(3)      ===>     1 = 1

      point (12, 4):        4 = 1/3(12)    ===>     4 = 4

      point (27, 9):       9 = 1/3(27)   ===>     9 = 9

      point (75, 25):   25 = 1/3(75)   ===>   25 = 25

Answer:

37 dimes

Step-by-step explanation:

i was experimenting. 17 quarters and 37 dimes. 17 times .25 is 4.25. 37 times .10 is 3.70. add them and it's correct.

Answer:

Is A

Step-by-step explanation:

(2-4)/(-2--6) = -1/2

And the only answer that has -1/2 as the slope is A

Answer:

With?

Step-by-step explanation:

Answer:

you didn't give what you need help with

Answer:

40

Step-by-step explanation:

1.Kknow the following information;

Remember, the sum of degrees of angles in a triangle is 180.

So say if a traingle contained;

<1, <2, <3,

Then:

<1 + <2 + <3 = 180

2. State the given, and set up an equation;

In this case, it is given that;

<1 = 115

<2 = 25

Therefore, set up the equation;

115 + 25 + <3 = 180

3. Solve the equation;

115 + 25 + <3 = 180

Simplify,

140 + <3 = 180

Inverse operations,

140 + <3 = 180

-140          -140

<3 = 40

Answer:

yes

Step-by-step explanation:

The graph in the question is missing.

Answer:

y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]

  y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Answer:

he should budget about $51.22

Step-by-step explanation:

annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66

Answer:

i think it's $51.22 Cause it said annual which means one year and it has 12 months so the actual price devide by 12

am not that sure tho cause the question is tricky

Answer:

561

Step-by-step explanation:

I think... (I don´t get this question...)

Answer:

i THINK this is correct

Step-by-step explanation:

x = 13

Answer:

I think its 13

Step-by-step explanation:

because the line above it which is 18 looks like the same length. So I would subtract 5 from 18 to get 13. because 13+5 is 18. Good luck!!

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

Answer:

Step-by-step explanation:

Step one:

given

let the original price of the be x

discount = 30%

30 of x is $60

Step two:

Mathematically

30/100*x=60

0.3x=60

divide both sides by 0.3

x=60/0.3

x=200

Hence the original price of the dress is $200

Answer:

y = -.3x + 1.5

Step-by-step explanation:

See attached Screenshot using Desmos to write equation.

Answer:

i am wrong dont do what i am doing

Step-by-step explanation:

Answer:

You did! well done

Step-by-step explanation: