Find the focus and directrix of the parabola y = 1/2(x+1)2 + 4.
C A) Focus: (1,41/2); Directrix: y = 31/2
C B) Focus: (-1,41/2); Directrix: y= 31/2
C C) Focus: (1,31/2); Directrix: y = 41/2
CD) Focus: (-1,31/2); Directrix: y = 41/2

Answer:

0.7 or 70 percent

Step-by-step explanation:

Jay's probability of winning the next game, based on his past record, would be 70%. However, probability doesn't guarantee future outcomes as the future performance depends on various factors.

The question requires us to find out the probability of Jay winning the next video game he plays, given his past record. Jay has won 14 out of the last 20 games, which gives us a winning probability of 14/20 = 0.7 or 70%. Probability assumes the conditions remain the same, it doesn't guarantee that the next outcome will be a win.

However, notice that past performance doesn't necessarily indicate future results, especially in random situations such as a game. The future outcome depends on the conditions of the next game he plays and his performance in it. The past winning record of 70% can be taken as an indication of Jay's skills or chances under similar conditions, but not a certainty for future games.

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Answer:

B) 1/5

Step-by-step explanation:

First you would have to find the total number of days.

52 + 13 = 65

The total number of days is 65.

Reread the question. The question is, "What is the approximate probability that she will see deer in her yard tomorrow?"

She has seen deer in her yard for 13 days, so the equation to figure this out would be:

13 divided by 65 = 0.2 or 1/5

I also took the Quiz and got it correct :)

(If you found this helpful and got it correct please thank, give 5 stars, and comment your feedback if you can so others know it's correct as well.)

The probability of seeing a deer in her yard tomorrow is 1/5, the correct option is B.

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

Total number of days Maria saw deer is 13 days

Total number of days Maria didn't saw the deer is 52 days

The total number of days is 65

Probability of seeing a deer = Number of days deer was seen / Total          

                                                                                           number of days

Probability = 13/65

Probability = 1/5

To know more about Probability

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Answer:24 cm2, 66 cm2, 44 cm2

Step-by-step explanation:

24 would be 6x4, 66 would be 11x6, and 44 would be 4x11

Answer:

2,3,5

Step-by-step explanation:

Answer:-47

Step-by-step explanation:

Because minuse +minuse is equal to pluse so we will add both equations

Step-by-step explanation:

- ( 9 - ( m + a ))

= -( 9 - ( 4 + 3))

= - ( 9 - (7))

= -( 9 - 7)

= - 2

Answer:

-2

Step-by-step explanation:

Open the bracket first

-(9-(m+a))

-(9-m-a)

-9+m+a

So let's substitute the value for the m and a

-9+4+3

Using BODMAS

Addition comes before substration

So

-9+4+3

=-9+7

=-2

So the final answer is-2

Answer: 820>n

Step-by-step explanation:

809>-11+n

Turn into regular equation

809=-11+n

Add 11 to both sides

820=n

Add inequality sign back

820>n

Answer:

a. x ≤ 4

Step-by-step explanation:

-5x ≥ -20

Divide by -5

-5x / (-5) ≤ -20 / (-5)

x ≤ 4

Answer:

bro I don't even remember this sorry wish I could help tho

Answer:

8.1 units

Step-by-step explanation: Here is the question?

What is the length of DF¯¯¯¯¯?

Round the answer to the nearest tenth. The link is the picture for the problem if you need it.

The correct answer is tan Theta = 12/5.

The task is to find the value of tan Theta given that in a position where its terminal side lies in Quadrant 3 and sine is -12/13. In the third quadrant, both sine and tangent are negative, so we expect a negative ratio for tan Theta. Since sine equals opposite over hypotenuse, we have:

sin Theta = opposite/hypotenuse = -12/13

The negative sign indicates that the opposite side is in the negative direction (downward in this case).

To find tan Theta, we'll use the Pythagorean theorem to find the length of the adjacent side:

opposite^2 + adjacent^2 = hypotenuse^2
(-12)^2 + adjacent^2 = 13^2
144 + adjacent^2 = 169
adjacent^2 = 169 - 144
adjacent^2 = 25
adjacent =  [tex]\sqrt{5}[/tex]

Because we're in the third quadrant, where the x-coordinate (adjacent side in the context of the unit circle) is negative, adjacent = -5.

Now, tan Theta = opposite/adjacent = -12/-5 = 12/5.

Therefore, the correct answer is D. 12/5.

Answer:1.333

Step-by-step explanation:use the formula (l)(w)(h/3). L=2. H=2. W=1

Answer:

3

Step-by-step explanation:

4n^3+ 3n^2 + 2n + 1.

The coefficient is the number in front of the term

3n^2  the coeffiecient is 3

Answer:

20

Step-by-step explanation:

N + (18 - 6) = 32

Simplify bracket

N + 12 = 32

Subtract 12 from both sides to eliminate 12 on the left side

N + 12 - 12 = 32 - 12

N = 20

Answer: B: 35ab^2c AND 7bc^2

Step-by-step explanation:

The monomials must be multiples of 7bc such as 21b^2c and 14bc^2, because the GCF of two monomials is the highest factor that divides both these monomials. GCF in this case is 7bc.

The Greatest Common Factor (GCF) of two monomials is the highest factor that divides both of these monomials. Given that the GCF is 7bc, these two monomials must have 7bc as a factor. Thus, Valerie possibly used any two monomials that are multiples of 7bc.

For example, one answer could be 21b^2c and 14bc^2. Each of these monomials has 7bc as a factor (3b, 2c, and 2b, 2c respectively). There are other possible combinations, as long as they're multiples of 7bc.

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Answer:

x > 2

Step-by-step explanation:

Subtract one from both sides to get the answer above.  

To graph it, choose the open arrow pointing right and drop it over 2.  

Answer:

x>2

Step-by-step explanation:

You would simplify this as you would any other equation, which means subtract the 1 from each side to be left with x > 2

To graph this, you would use an open circle, because the sign is not greater then and equal to, it is only greater then.

Therefore, to graph it, you would have an open circle to the right on the number 2

2. y + 3 = -2x^2 + 5

3. y = 2x^2 - 8x + 6

6. y = 5x (x+9) - 8

Out of the given functions, y + 3 = –2 x 2+ 5, y = 2 x 2 – 8 x + 6, y = 5 x(x + 9) – 8 and y – 2 x 2 = 3 x – 2 x 2 + 4 are quadratic functions. They fit the standard quadratic form a*x^2 + b*x + c = y.

A function can be classified as a quadratic function if it can be written in the standard form a*x^2 + b*x + c = y, where a, b, and c are constants and a is not equal to zero. Quadratic functions graph as a parabola.

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Answer:

Rational

please put me as brainliest

Step-by-step explanation:

Here 3 is recurring , so from statement 1) 0.3333 or 1/3 is a rational number. And also 0.3333 is non-terminating as the decimal is not ending or the remainder for 1/3 is not zero

Answer:

Rational

Step-by-step explanation:

0.33333333 terminates (if it's supposed to be 0.[repeating 3] then it's rational because it repeats)

Answer:

Step-by-step explanation:

Represent the number of nickels and dimes by n and d.

The value of these nickels and dimes will be $0.05n + $0.10d ≤ $2.00.

The inequality of the given situation is $0.05n + $0.10d ≤ $2.00.

Given that,

Based on the above information, the inequality function is as follows:

= $0.05n + $0.10d ≤ $2.00

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Given:

a) Area = 121 ft²

b) Area = 81 yd²

To find:

The side length of each square

Solution:

a) Area = 121 ft²

Area of the square = s²

⇒ s² = 121

Taking square root on both sides.

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 121}[/tex]

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}[/tex]

Square root and squares get canceled.

⇒ s = 11

The length of each side of the square is 11 ft.

b) Area = 81 yd²

Area of the square = s²

⇒ s² = 81

Taking square root on both sides.

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 81}[/tex]

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}[/tex]

Square root and squares get canceled.

⇒ s = 9

The length of each side of the square is 9 yd.

Answer:

B

Step-by-step explanation:

All of the angles have to add up to 180

Hope this helped

:)

Answer:

the answer is B

Step-by-step explanation:

you have to have all of the angles add up to B, that is part of it.

Answer:

5-7  5+7     5=7

Step-by-step explanation:

dont know what you mean

Final answer:

The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping.

Explanation:

The correct answer is A. The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping. In this method, we find two pairs of terms with common factors and group them together. Then, we factor out the greatest common factor from each pair. Finally, we factor out a common factor from the resulting binomials. Let's consider an example:

Example:

Factor the trinomial: x^2 + 5x + 6

Step 1: Separate the first and last terms: x^2 + 5x + 6 = (x^2 + 2x) + (3x + 6)

Step 2: Factor out the greatest common factor from each pair: x(x + 2) + 3(x + 2)

Step 3: Factor out a common factor from the resulting binomials: (x + 2)(x + 3)

Therefore, the factored form of the trinomial x^2 + 5x + 6 is (x + 2)(x + 3).

Answer:

-12

Step-by-step explanation:

a positive times a negative is a negative

Uisng the appropriate arithmetic operation, the value of 4y when y = - 3 is - 12.

To obtain the value of 4y, we substitute, the value of y into the equation thus :

4(-3) = 4 × - 3

4(-3) = - 12

Hence, the value of 4y = - 12

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Answer:

The last one, 8 / 0

Step-by-step explanation:

The last expression is undefined because in math it is forbidden to divide by zero.

Hope this helps)))

Answer:

-63/16

Step-by-step explanation:

csc x = 5/3

sin x = 3/5

So x is the angle in a 3-4-5 triangle, opposite of the 3.

cos y = 5/13

So y is the angle in a 5-12-13 triangle, opposite of the 12.

tan(x + y) = (tan x + tan y) / (1 − tan x tan y)

tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))

tan(x + y) = (3/4 + 12/5) / (1 − 9/5)

tan(x + y) = (15 + 48) / (20 − 36)

tan(x + y) = -63/16

Answer:

y=1

Step-by-step explanation:

Let's solve by opening the bracket first

-5-(15y-1)=2(7y-16)-y

Open the bracket

-5-15y+1=14y-32-y

Collect like terms

-5+1+32=14y-y+15y

-5+33=14y+14y

28=28y

Divide both sides by 28

y=1

Therefore the final answer is 1

Answer:

its 32 degrees

Step-by-step explanation:

w is a exterior angle which is the two interior angles sum farthest away from it. so Z+Y=W basically 100-68=32 which is y. y=32

Answer:

c 32

Step-by-step explanation:

Answer:

$76.80

Step-by-step explanation:

When a product has a certain markup, you need to multiply the markup by the price of the product, and then add that to the original price of the product. 20%=0.2, and 0.2*64=12.8. Adding this to the original price, you get 64+12.8=$76.80. Hope this helps!

Answer:

$76.8

Step-by-step explanation:

64 x .2 = 12.8

64 + 12.8 = 76.8

Feel free to let me know if you need more help. :)