Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
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f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2

Answer:

A

Step-by-step explanation:

The shape has no symmetry.

You can easily find this by just imagining how it would look if it was symmetrical from each of those lines.

For B, the bottom half of the shape is not as big as the second half, so it can't be B.

For C, you can see the the shape is more on the right side of the line at the top and more on the left side of the line at the bottom, making it not symmetrical.

It can't be D because C is not symmetrical.

Answer:

Parallel lines are lines that never touch each other

Step-by-step explanation:

they are straight and go on forever without intersecting (crossing)

Answer:

parallel lines are always the same distance apart from each other at all times, they never come in contact with one another

Step-by-step explanation:

They never intersect. It is difficult to explain, but you can look at examples on the internet. Hope this helps, have a good day, and good luck with your summer homework and good luck in 6th grade :)

Answer:

b

Step-by-step explanation:

9x7.8x1/2x12

Answer:

C. 394.2 ft²

Explanation:

surface area of triangular prism: (a+ b + c) × length + base × height

Here given:

Applying the formula:

Answer: 18 green fish

Step-by-step explanation:

       We will write what we know using mathematical equations. Let y be yellow fish and g be green fish. Please note that a percent, 40%, divided by 100 becomes a decimal, 0.4.

-> The aquarium has 6 fewer yellow fish than green fish.

   y = g - 6

-> 40 percent of the fish are yellow.

   y = 0.4 * (y + g)

[tex]--------------------------------------------[/tex]

       Now, we can solve them as a regular system of equations. First, we will find the number of green fish. There are 18, as shown by the work.

   y = 0.4 * (y + g)

   (g - 6) = 0.4 * ((g - 6) + g)

   g - 6 = 0.4 * (2g - 6)

   g - 6 = 0.8g - 2.4

   g = 0.8g + 3.6

   0.2g = 3.6

   g = 18

        There are 18 green fish in the aquarium.

   Read more about this question here:

https://brainly.com/question/17142285

Answer:

2 multiplied by 4. Then add 3, and add 4. Then multiplied by 5.

Answer:

c. (y + z = 6) ⋅ −3

Step-by-step explanation:

We want to use elimination to eliminate y in a system of equations

y + z = 6

3y + 4z = 1

We can take the first equation and multiply by -3 to make the y term -3 so when we add  the equations -3y + 3y =0

-3(y + z = 6)

3y + 4z = 1

--------------------

-3y  -3z = -18

3y + 4z = 1

---------------------

0y  +z   = -17

Answer:

c. (y + z = 6) ⋅ -3

Explanation:

Equation P : y + z = 6

Equation Q : 3y + 4z = 1

In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.

So to make the y co-efficient similar here, multiply the first equation by -3

When done: (y + z = 6) · -3 = -3y - z = -18

Solving steps:

-3y - 3z = -18

3y + 4z = 1

------------------

    z = -17

There the y-term has been removed.

Answer:

In vertex form: y = 1(x - (-3))² + 7

Vertex: Minimum (-3, 7)

Explanation:

Vertex form: y = a(x - h)² + k

Completing square (rules) :

1st rule: (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²

2nd rule: x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Given equation:

y = x² + 6x + 16

y = x² + 2(3)x + 3² + 7

y = (x + 3)² + 7

Into vertex form:

y = 1(x - (-3))² + 7

From this identify:

a = 1, h = -3, k = 7

Solution, vertex of this equation: Minimum (-3, 7)

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

proportional relationship: must be straight line and go through (0, 0).

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: C. 2 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Proprtional relationship can be depicted as :

[tex]\qquad \tt \rightarrow \: y \propto x[/tex]

[ to get rid of proportionality sign, we use constant c ]

[tex]\qquad \tt \rightarrow \: y = cx[/tex]

Now, conclusion can be made that the shown equation represents a straight line.

And the graph has two straight lines, which means proportional relationship is shown by Two members

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Step-by-step explanation:

√19 = 4.36

3√64 = 4

4.2

therefore the other from least to greatest will be

3√64, 4.2, √19

Answer:

option A

Explanation:

General measurement for a treehouse:

For best measurement, option A is correct.

In option B and C, the measurement is too small for the tree house.

Answer:

4.5cm

Step-by-step explanation:

28cm+0.3cm=28.3cm

surface area=28.3cm×15cm=424.5cm

original surface area=28cm×15cm=420cm

different=424.5cm-420cm=4.5cm

Answer:

Step-by-step explanation:

let number of passion fruits=x

number of dragon fruits=x+10% of x

=x+0.1 x=(1+0.1)x=1.1 x

total number of fruits=x+1.1 x=(1+1.1)x=2.1 x

1.1x+60% of 1.1x+x+9% of x=2.1x+75

1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75

1.1x+0.66 x+x+0.09 of x =2.1x+75

2.1 x+0.75x-2.1 x=75

0.75 x=75

[tex]\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210[/tex]

Answer:

Step-by-step explanation:

let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75

Answer: down below...

Step-by-step explanation:

Exercise 1:

Income = $83.465

Tax paid at 5.05% means, whatever your income is, you gotta pay 5.05% of it as a tax.

5.05% = [tex]\frac{5.05}{100}[/tex]

[tex]\frac{5.05}{100}*$83.465[/tex]

[tex]0.0505*$83.465[/tex]

If you do the calculations it should give you a $4,214.9825 tax

"Income tax paid at 9.15%"

[tex]\frac{9.15}{100}*83.465[/tex]

[tex]0.0915*83.465[/tex]

The 9.15% tax = $7,637.0475

"Total income tax paid"

This will just be the sum of the two taxes.

$4,214.9825+$7,637.0475 = $11,852.03 (sum of taxes)

Exercise 2:

Purchase price = $347.000

Selling price = $863.000

As you can see, they purchased the property for $347.000 and sold it for $863.000 which made them a lot of money in profit :)

That's what the Difference is.

Difference = $863.000-$347.000

Difference = $516,000

I don't really understand what capital gains are, because I'm 13, but I suppose I gotta calculate 50% of the profit that the banker has made.

[tex]\frac{50}{100}*$516.000[/tex]

[tex]\frac{5}{1}*$51.600[/tex]

[tex]5*$51.600[/tex]

"Capital gains" = $258,000

I don't really know if this is the correct answer for capital gains, but I am pretty sure I did well on the other ones.

Hope I helped you :] !

Answer:

678.24

Step-by-step explanation:

First, we have to find the area of 1 cylinder(pi x r^2 x h), which i got as 226.08 then we multiply by 3 because there are 3 cylinders. 226.08 x 3 = 678.24

Answer: Hope this helps you!

Step-by-step explanation:

First, I started off with the equation of the area of a cylinder

Area = π * radius^2 * height

Now I will go on and substitute

Area = 3.14 * 3^2 * 8

And now I will start solving

Area = 3.14 * 3^2 * 8

(3^2 = 3*3 = 9)

Area = 3.14 * 9 * 8

(9*8 = 72)

Area = 3.14 * 72

Area = 226.08

The area of 1 cylinder is 226.08, however we need to find the area of the whole composite figure which is made up of 3 cylinders.

226.08 * 3 = 678.24

Answer:

A

Step-by-step explanation:

2x² + 5x = 12

2x² + 5x - 12 = 0

x² + 5x - 24 = 0

factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3

2x² - 3x + 8x - 12 = 0

split the equation and factor

2x² - 3x = 0 ||| 8x - 12 = 0

x(2x - 3) ||| 4(2x - 3)

therefore the pair is (2x - 3)(x + 4)

2x - 3 = 0

2x = 3

x = 3/2

or

x + 4 = 0

x = -4

Answer:

well, both numbers are odd, so their sum will be even.

2 is the smallest prime divisor.

Answer:

There are 23 cats for every 36 dogs at the city pound

Step-by-step explanation:

This means that for every group of 92 cats at the city compound there is a group of 144 dogs. So it also means that for every group of 23 cats there is a group of 36 dogs.

92 to 144 or 92/144 = 23/26  or 23 to 36

Answer:

8:12

around every 8(7.6)cats there will be 12 dogs

Answer:

  3504.24 square meters

Step-by-step explanation:

You want the surface area of a cylinder of radius 18 m and height 13 m.

The surface area of a cylinder is given by the formula ...

  A = 2πr(r +h)

  A = 2(3.14)(18 m)(18 m +13 m) = 3504.24 m²

The surface area of the cylinder is about 3504.24 square meters.

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Answer:

38

Step-by-step explanation:

for this table, we can add up all of the students who chose flying (both the "male" and "female" students)

26 + 12 = 38

So, 38 students chose flying as their superpower.

hope this helps!!

Answer: C

Step-by-step explanation:

A says the polygon's measurements are 283 inches by 283 inches. Is it Correct? No. If we multiply these numbers we get 80,089 inches squared, which is not equal to our actual surface of 283 inches squared.

B says the polygon's volume is 283 inches cubed, which is not correct because it says that a certain measurement of a polygon is 283 inches squared, not cubed, which means we got a surface/area, not a volume.

C says that our 283 inches squared area could fit 283 one-inch by one-inch squares, which is correct because one-inch by one-inch is an one inch squared area, if we multiply this one-inch squared by the number 283, we get 283 inch squared area.

And D couldn't be because the answer is C.

Hope I Helped!

Answer:

I believe it is A

Answer:

The answer should be 9 9/20

Step-by-step explanation:

You need to take the total volume of the regular box and multiply it by the downsize of 3/10 and that leaves you with 9.45.

Fadi finishes studying at 4 : 20 and he finishes playing at 4 : 50.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that Fadi starts studying at 3 : 30.

Length of studying was 50 minutes.

3 : 30 adding 50 minutes gives 4 : 20.

Hence he finishes studying at 4 : 20.

Fadi starts playing at 4 : 20.

Length of playing was 30 minutes.

4 : 20 adding 30 minutes gives 4 : 50.

Hence he finishes studying at 4 : 50.

Hence the end time of studying and playing is 4 : 20 and 4 : 50 respectively.

Learn more about Addition here :

https://brainly.com/question/29560851

#SPJ2

Answer:

=7.07

*round off to one decimal place, 7.1

therefore the answer is B

Step-by-step explanation:

Aea of a circle:

A=pi x r^2

A=(3.14)(1.5)^2

A=7.07

A=7.1

Answer:

Capital Gains

Capital gain calculation in four steps

Determine your basis.

Determine your realized amount.

Subtract your basis (what you paid) from the realized amount (how much you sold it for) to determine the difference.

Review the descriptions in the section below to know which tax rate may apply to your capital gains

To calculate the taxable gain on the sale of an asset, an individual takes the difference between the original purchase price and the sale price of the investment.