What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2

Answer:

The answer is B.

Step-by-step explanation:

15÷3=5    15÷5=3

30÷3=10   30÷5=6

45÷3=15    45÷5=9

60÷3=20    60÷5=12

Answer:

Part A: 512 ft²

Part B: 3 cans

Step-by-step explanation:

Part A:

We can divide the shape into 2 areas or rectangles.

The top rectangle's area: 20 x 12 =240

The bottom: 34 x 8 = 272

add these 2 up, 240 +272, and you get 512, the area of this figure.

Part B:

We have to divide the number of feet covered by the area:

512/200 = 2.56

However, we half to round up, cause we cant buy part of a can, we have to buy a whole one.

So, we get 3 cans.

Answer:

Step-by-step explanation:

Answer:

17, 9, 18, 7, 19, 5, 20, X

Bold: 17, 18, 19, 20, .....

Other: 9, 7, 5, 3, 1 ....

I think the answer is 3

By finding the pattern, we conclude that the next number in the sequence is 3.

We have the sequence:

17, 9, 18, 7, 19, 5, 20, x.

Here the pattern is kinda simple.

First, we have a two-digit number which increases by one unit (on the odd positions). Then we have a single-digit number that decreases by two (on the even positions).

Then we will have:

x = 5 - 2 = 3

We conclude that the next number in the sequence is 3, we get:

17, 9, 18, 7, 19, 5, 20, 3.

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This question is about Polynomial Functions. The reading below is done using the attached graph.

The function is increasing over the following intervals:

b) Yes, the points on the x-axis that has local maxima are:

Point -2, and Point 6.

c) The leading coefficient is negative. The sign is given as:

f(x) → -∞

as x → + ∞

d) The possible degree of the function is:

06- (Option B).

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The transformation which would create an image and pre image that are similar figures is dilation.

Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.

This is called so because the triangles so formed will be similar figures.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Dilation enlarges or reduces the size, so they are similar figures.

Hence dilation is the similar transformation.

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Answer:

7x+4+2y is your answer

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

The linear function that describes the situation is:

y = -950x + 18500.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

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Answer:

Step-by-step explanation:

Use FOIL method.

(x -2)(x+3) = x*x + x*3 + (-2)*x + (-2)*3

                 = x² + 3x - 2x -6  {Combinelike terms}

                  = x² + x - 6

(x² + x -6)*(2x + 1) = x²*2x + x²*1 + x*2x +x*1 + (-6)*2x + (-6)*1

                             = 2x³ + x² + 2x² + x -12x - 6

                             = 2x³ + 3x² - 11x - 6

Answer:

15cm²

Step-by-step explanation:

Area of a triangle: 1/2*b*h

a = height (6cm)

b = base (5cm)

A = 1/2* b * h

A = 1/2 * 5 * 6

A = 1/2 * 30

A = 15cm² <== final answer

Hope this helps!

7

[tex]Based\ on\ the\ given\ conditions,\ formulate:[/tex]

[tex]14\div 2[/tex]

[tex]\frac{14}{2}[/tex]

Creoss out the common factor

[tex]7[/tex]

I hope this helps you

:)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

[tex]\qquad \sf  \dashrightarrow \:(x - 11)(x - 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 11x - 11x + 121 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 22x + 121[/tex]

That's our required function ~ I hope you understood the whole thing !

Answer:

i think its a trapazoid

Step-by-step explanation:

Hey there!

Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

You may want to add more context to this question.

Step-by-step explanation:

Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.

Step-by-step explanation:

Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.

Using the mean absolute deviation, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

In this problem, the mean absolute deviation is of 1.3 inches, hence, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

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Answer:

Step-by-step explanation:

The probability that a car is blue is the likelihood of the car being blue

The probability that a car is, in fact, blue when the witness reports it as blue is 12%

The given parameters are:

P(Blue) = 15%

P(Accurate) = 80%

The probability that a car is blue, and the observation is accurate is calculated as:

P(Blue and Accurate) = P(Blue) * P(Accurate)

This gives

P(Blue and Accurate) = 15% * 80%

Evaluate the product

P(Blue and Accurate) = 12%

Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%

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The time I would need to leave the hotel if the flight lands at 3:23 p.m is 7 : 09 am

The first step is to add the total hours of the flight to the time of the tax ride and the time you need to get to the airport.

7h + 12 min + 45 + 17 = 8 hours 14 minutes

Now subtact  8 hours 14 minutes  form 3: 23

(12 + 3:23) -  8 hours 14 minutes =7 : 09 am

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The angle of the water slide is 60 degrees.

The equation that models his work is 3 × 20 = 60 degrees.

He wants to measure the angle of a water slide at the lake.

He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.

He noticed three folded paper angle fits in the angle made by the slide and the ground.

Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:

20 × 3 = 60 degrees

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Answer: The width is 15 yards and the length is 24 yards

Step-by-step explanation:

Let x represent the width of the parking lot in yards

Let the length of the parking lost be (x + 9) as the length is 9 yards greater than the width

So, area = width * length

i.e. 360 = x(x + 9)

360 = x2 + 9x

x2 + 9x - 360 = 0

x2 + 24x - 15x - 360 = 0

x(x + 24) - 15(x + 24) = 0

(x + 24)(x - 15) = 0

Either x = -24 or, x = 15

But as width can not be negative, so we can not have, x = -24

So, we have, x = 15

Therefore, (x + 9) = (15 + 9) = 24

So, we have the following answers.

Width : 15 yards

Length : 24 yards

Answer:

the answer is; 68% of 7000 which gives 4760 football fans rooting for the home team

67,600 different passwords can be formed.

26 x 26 x 10 x 10 = 67,600 (26 letters in the alphabet and 10 from 0-9)

Answer:

I don't understand

Step-by-step explanation:

You answer it.

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.07/4)^(4*10)

A = 2001.59734318603

A = 2001.60

This assumes that you do not withdraw any of the money over the course of the 10 years. Also, the interest rate must stay the same at 7%.

Answer:

16.50 per week

Step-by-step explanation:

6.60 times 10 equals 66 minus 75% equals 16.50

C = 2 x pi x r = pi x d

so

C = 3,14 x 26 = 81,64 mm