Derive the equation of the parabola with a focus at (2, -1) and a directrix of y = - =
2
f(x) = -(x + 2)2 - 3
4
7
3
f(x) = (x + 2)2 +
4
3
f(x) = -(x - 2)2 +
4
3
f(x) = -(x - 2)2 -
4

Answers

Answer 1

Answer:

the second one is right


Related Questions

solve for the value of each letter.
1. 6x + 10 = 28
2. -2m - 4 = 8
3. x + x + 2x = 48
4. 3y + 4 + 3y - 6 = 34
5. 9( w - 6 ) = 36
6. -5 ( t + 3 ) = -30
7. 5z + 2 = 3z - 10
8. 11 + 3x + x = 2x - 11
9. -5 ( n -1 ) = 7 ( n + 3 )
10.-3 (c - 4 ) -2c - 8 = 9 ( c + 2 ) + 1

Answers

Answer:

Step-by-step explanation:

1] 6x + 10 = 28  {subtract 10 from both sides}

6x + 10 -10 = 28 - 10

6x = 18  {Divide both sides by 6}

6x/6 = 18/6

x = 3

2]  -2m - 4 = 8 {Add 4 to both side}

 -2m - 4 + 4 = 8 + 4

-2m = 12  {Divide both sides by -2}

-2m/-2 = 12/-2

m = -6

3] x + x + 2x = 48  {add the like terms}

  4x = 48  {divide both sides by 4}

4x/4 = 48/4

x = 12

4] 3y +4 +3y  - 6 = 34 {add the like terms}

   6y - 2 = 34  {Add 2 to both side}

6y - 2 + 2 = 34 +2

6y = 36 {divide both sides by 6}

6y/6 = 36/6

y = 6

5]9(w - 6) = 36 {divide both sides by 9}

[9(w - 6)]/9 = 36/9

w - 6 = 4  {Add 6 to both sides}

w - 6 + 6 = 4 + 6

w = 10

Answer:

w = 10

Step-by-step explanation:

You first mutlply like terms and then add it up

PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.

9. The standard deviation of X is

a. 22.91.

b. 27.39.

c. 5255.

d. 750.


10. The probability that X is at least 800 is

a. less than 0.0001.

b. about 0.015.

c. 0.025.

d. 0.05.

Answers

Answer:

Step-by-step explanation:

a) Total number of people surveyed, n = 2500

Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is

100 - 30 = 70%

This is a binomial probability because there are only two possible outcomes. Therefore,

Probability of success, p = 30/100 = 0.3

Probability of failure, q = 1 - p = 1 - 0.3

q = 0.7

Standard deviation = √npq

Standard deviation = √(2500 × 0.3 × 0.7) = 22.91

b) The probability that x is at least 800 is expressed as

P(x ≥ 800)

We would determine the probability by using the binomial probability calculator. Therefore,

P(x ≥ 800) = 0.01577

b. about 0.015.

caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?

Answers

Answer:

= 3 3/5 yards

Step-by-step explanation:

If 1 piece = 3/5 yard

What about 6 pieces = ?

= (6 x 3/5) ÷ 1

= 18/5 ÷ 1

= 18/5

= 3 3/5 yards

Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od

Answers

Maybe summarize next time!

Answer:

Answer: D) equal rights for African Americans

Step-by-step explanation:

Can anyone help explain this to me lol-

-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. ​
7.4 cm, 8.1 cm, 9.8 cm​

A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-

Answers

Answer:

Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles.   ^‿^

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 (5 points)


Look at the frequency table. Using the Addition Rule P(A and B) = P(A) + P(B) – P(A and B), what is the probability someone being a man said dog? P(dog|man)

Answers

Answer:

28/50

Step-by-step explanation:

You look at the total amount of men there are, (50)

then amount of dog in the column of men, (28)

So (dog|man) = 28/50

ask questions if u need anything else

Math question down below

Answers

Answer:

answer is A.

Step-by-step explanation:

divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!

what is the quotient of the equation Below in simplest form? State any restrictions on the variable

Answers

Answer:

A

Step-by-step explanation:

Factor the numerators/ denominators where possible, that is

[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]

Cancel the factors (x - 5) and (x + 4) from numerator/denominator

= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]

= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3

What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4

Answers

Answer:

x=4

Step-by-step explanation:

Answer:d

Step-by-step explanation:

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:


What is the inverse function of f(x) = 4x + 3?

Answers

Answer:

f(x)=(x-3)/4

Step-by-step explanation:

To find the inverse of a function, I like to flip the x and the y, and then try to isolate the y. In this case:

x=4y+3

x-3=4y

y=(x-3)/4

Hope this helps!

f-1(x)=x-3/4 that is the answer hope it helps

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST

Answers

Answer:

y = (3/2)x + 3

Step-by-step explanation:

slope is rise over run so 3 up and, 2 right

y-intercept is at (3,0)

BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

551.7

Step-by-step explanation:

it is the square + the circle

15*25+πr²

375+π(15/2)²

375+π225/4

375+176.625=551.625

Answer:

E) 551.7 ft Squared

Step-by-step explanation:

First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle.            Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together.                         375 + 176.7 = 551.7

What is the surface area of this figure?

Answers

Answer:

328

Step-by-step explanation:

What is 3 1/2 times 2 4/5​

Answers

Answer:

9 4/5

Step-by-step explanation:

You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5

Answer:

49 /5  = 9.8

Step-by-step explanation:

30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.

Answers

A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.

I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest

Answers

The correct answer is a translation.

A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.

I hope this helps :)

Answer:

translation

Step-by-step explanation:

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

15)
Which expression is a PRODUCT?
A)
8(6+ 3)

B)
8
(6 + 3)

5(2) + 2(6 x 3)

D)
5(2 + 3) - 4(8 + 1)

Answers

Step-by-step explanation:

the answer is

A,72

B,739

D,-11

Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7

Answers

Answer:

A) -3/2 and 7

Step-by-step explanation:

this equation factors to (2x+3)(x-7)

the goal is to solve for 0

if 2x+3=0 then x=-3/2

if x-7=0 then x=7

HELP


What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk

Answers

Answer:

=18.38cm

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]

Now we can resume where we stopped with triangle AGC, and we have

[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]

=18.38cm

I need the answer thank you!

Answers

Answer:

B)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors.

hi what is the answer

Answers

Answer:

A= 36π mm²

Step-by-step explanation:

Area of circle = πr² where radius= 6mm

A = π(6)²

A= 36π mm²

is this correct? it might be hard to read tho​

Answers

Yes thats the right answer

You are assigned a computer generated 4-digit password to access your new voice mail account. If the
digits can not be repeated, how many passwords are possible?
b
34 different passwords are possible
5,040 different passwords are possible
40 different passwords are possible
10,000 different passwords are possible
d

Answers

Answer:

5,040 different passwords are possible

Step-by-step explanation:

Assuming that 4-digit means using only numeric values.

This is a permutations problem.

n = number of values used with number values only this is 10

r = the number used in each case without repeating in this case 4

nPr = n! / (n - r)!

nPr = 10! / (10-4)!

nPr = 10! / 6!

The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24

A quick hack for dividing factorials is to use cancelling.

10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)

= 5040

A cube has an edge measuring 6 cm. Find its volume.

Answers

Answer:

216

Step-by-step explanation:

Hope this helps.

Answer:

Side of cube = 6 cm

Volume = side ^3 = 6^3 = 216 cm^2

What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?

Answers

Answer:

Standard Form

Step-by-step explanation:

Answer:

Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.

Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10

Answers

Answer:

The answer is -2

Step-by-step explanation:

start at 4 and go to the left six times

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

Other Questions
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