I need help graphing this question,

[tex]f(x)=\frac{1}{18}(x+5)^2-11[/tex]

Answer:

Step-by-step explanation:

x²/a² - y²/b² = 1

center (0,0)

vertex (3,0), so a = 3

focus (9,0)

e = 9/a = 3

directrices: x = ±a/e = ±1

The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

The general equation of the hyperbola is in the form of

x²/a² - y²/b² = 1

We have been given center (0,0)

vertex (3,0),

so a = 3

focus (9,0)

So, e = 9/a = 3

The equation of directrices:

x = ±a/e = ±1

Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

Learn more about hyperbola here:

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#SPJ2

Answer: 0.75 ×24 carat = 18 carat

Step-by-step explanation:

24 carat is 100% pure gold. If there is 3/4 parts of gold it is 75 % = 0.75

Answer:

What's the question? If it's how much do each have each of the volunteers have 33 flyers.

Answer:

^2 + 2x-15

Hope this helps

Answer:

f(x)=48 (4)x-1 это просто

Answer:

It is in Fact B.

Step-by-step explanation:

I Took this on Edge and it is right, if you have this question, then it is B.

Answer:

428

Step-by-step explanation:

Its says out of 60, 29 of them play sports

so we want to use proportions to solve for how many would play if there were 887 kids

[tex]\frac{60}{29} =2.068965517\\\frac{887}{2.068965517} = 428[/tex]

thus meaning that out of 887 kids 428 of them would play sports

Answer: b

Step-by-step explanation:

Answer:

Looks like all of your questions have been answered.

Answer:

Step-by-step explanation:

Answer:

so for the first one the cost for all the tickets is 412

for the last one the cost is 333

Step-by-step explanation:

Answer:

577.6875

Step-by-step explanation:

(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875

Answer:

2/6

Step-by-step explanation:

six sided die so 1/6 of any given number

5 and 6 are only numbers above four

2/7

Answer:

Oh easy here is the answer m=21

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (-2)

Step-by-step explanation:

Put the point values in the given equation to see what the missing number is.

  y = 1/2x + (_)

  2 = 1/2(8) + (_) . . . . . substitute the given values

  2 = 4 + (_) . . . . . . . .  simplify

  -2 = (_) . . . . . . . . . . . subtract 4

The green ? should be filled with -2.

Answer:

2.478x10^7

Step-by-step explanation:

They give you each radius, so you just add them together.

15,300,000+9,480,000=24,780,000 = 2.478x10^7

(or)

1.53x10^7+0.948x10^7= 2.478x10^7

Answers

Step-by-step explanation:

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Step-by-step explanation:

step 1. h(-6) = 3(-6) - 2

step 2. h(-6) = -18 - 2

step 3. h(-6) = -20.

Answer:

2. Dependent events

Step-by-step explanation:

Answer:

-x3

Step-by-step explanation:

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

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Answer:

Step-by-step explanation:

Where's the line?

Answer:

2(x + y)

Step-by-step explanation:

You can pull out a 2 from the expression.

So divide 2x by 2 and 2y by 2.

2x/2 = x

2y/2 = y

2(x + y)

Answer:

76

Step-by-step explanation:

Answer: x=5

x= 2

Step-by-step explanation:

Answer:

I've answered this for you in your previous question. Hope it helped

Answer:

[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]

Step-by-step explanation:

3x + 4y = 11 ----------------------(1)

x = 15 - 7y   ----------------------(2)

Put Eq. (2) in (1)

3(15 - 7y) + 4y = 11

45 - 21y + 4y = 11

45 - 17y = 11

Subtracting 45 to bot sides

-17y = 11 - 45

-17y = -34

Dividing both sides by -17

y = -34 / -17

y = 2

[tex]\rule[225]{225}{2}[/tex]

Put y = 2 in Eq. (2)

x = 15 - 7(2)

x = 15 - 14

x = 1

[tex]\rule[225]{225}{2}[/tex]

Solution Set = {x,y} = {1,2}

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!