Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 8 options:

A)

y = (x – 2)2

B)

y = 3(x – 2)2

C)

y = 3(x + 2)2

D)

y = (x + 2)2

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

Answer:

The probability  that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is [tex]\dfrac{4}{7}[/tex] .

Step-by-step explanation:

We are given that in a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.

The roll numbers of students begin with boys and end with girls.

Firstly, we will calculate the number of boys and girls in the class.

Number of boys in the class =  [tex]\frac{4}{7}\times 35[/tex]

                                               =  [tex]4 \times 5[/tex] = 20

Number of girls in the class =  [tex]\frac{3}{7}\times 35[/tex]

                                               =  [tex]3 \times 5[/tex] = 15

So, the roll numbers of boys are numbered as = {1, 2, 3,..........., 19, 20}

and the roll numbers of girls are numbered as = {21, 22, 23,..........., 34, 35}

Prime numbers are those numbers that come in their own tables and 1.

The roll number of boys having prime numbers are = {2, 3, 5, 7, 11, 13, 17, and 19}

There are total of 8 boys.

Composite numbers are those numbers that come in the tables of other numbers also.

The number of girls with composite roll number or an even roll number = {21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, and 35}

There are a total of 12 girls.

So, the total number of favorable boys and girls = 8 + 12 = 20

Total number of students in class = 35

So, the probability  that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is given by =  [tex]\frac{20}{35}[/tex]  =  [tex]\frac{4}{7}[/tex] .

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

Since we don't have the values of a and b, a and b can be any number. If they can be any number, then our answer has to be infinite solutions, as our answer can vary between different values.

Answer:

<x = 53 degrees

Step-by-step explanation:

<Q = 62 degrees (alternate angle)

<PRQ = 180-115 (Angles on a straight line add up to 180 degrees)

<PRQ = 65 degrees

Now, Finding <x

To find <x, we'll simply subtract 180 from rest of the triangles interior angles because the interior angles of a triangle add up to 180 degrees

=> <x = 180-65-62

=> <x = 53 degrees

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x + 3y = 15

Express it in the form y = mx + c

3y = -12x + 15

Divide all terms by 3

y = - 4x + 5

From the equation m = - 4

Since the lines are parallel their slope are also the same

So the slope of the parallel line is also - 4

Hope this helps you

Answer:

40x+150>=400 i think

Step-by-step explanation:

40x+150>=400

40x>=250

x=6.25

Answer:

d = 7

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]

Plug in our 2 coordinates:

[tex]d = \sqrt{(2-2)^2+(1+6)^2}[/tex]

And you should get 7 as your final answer.

Answer:

7 units

Step-by-step explanation:

Since the x coordinates are the same, we only have to look at the difference between the y coordinates to determine the distance

1 - -6 = distance

1+6 = 7

The distance is 7 units

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Answer:

(- 1, 5 )

Step-by-step explanation:

Since the x- coordinate of Q, x = - 1 lies on the line of reflection.

The point Q will remain unchanged, that is

coordinates of image are (- 1, 5 )

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

Answer:

The answer is StartFraction 5 over 7 EndFraction

Answer:

The probability of the complement of the original event is 5/7.

Step-by-step explanation:

The probability of the complement of an event is 1 less the probability of the event, so

We get:  1 - 2/7, or 5/7

The probability of the complement of the original event is 5/7.

Note that  5/7  and 2/7  add up  to 7/7, or 1.

Answer:

19.625 cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 * 5^2 * .25

V =19.625 cm^2

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

Answer:33

Step-by-step explanation: i just did the problem

Answer:

from the top of my head if I read the bars right I think its 98 but I could really see the bars

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15= 102

Answer:

5

Step-by-step explanation:

If you calculate it it will be 4 28/33 which is closer to 5

Answer:

The area of a rectangle is the product of the length and the width of the rectangle.

The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,

Answer:

To find the area you need both the length and width

A= lw

Practically it doesn't matter which one you call length or width  as long as both of them used in the calculation. The product of them doesn't change.

Answer:

2/$5.00

Step-by-step explanation:

It's the only one that makes sense

Answer:

4,10

It is the only option on the table

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]

Step-by-step explanation:

hello,

for one x you cannot get several values of f(x), otherwise this is not a function

as 6 and 7 gives 0 it means that

f(6)=f(7)=0 which is fine for f

but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images

and this is not possible

so the inverse of f does not exist

hope this helps

Answer:

B. Quadratic Function

Quadratic Term: 15x^2

Linear Term: 9x

Constant Term: -6

Step-by-step explanation:

1. F.O.I.L (firsts, outers, inners, lasts) the function

BREAK APART:       3x(5x - 2)    and    3(5x - 2)

(fx) = 15x^2 - 6x + 15x - 6

f(x) = 15x^2 + 9x - 6

There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.

Answer:

C. -3

Step-by-step explanation:

Plugging both of those points into the slope formula gets you a slope of -3.

Answer:

D. a³+b³=(a+b)(a²-ab+b²)

Explanation:

That is the form of the Sum of Cubes identity

Answer:

1500 square feet

Step-by-step explanation:

2 gallons of paint can cover 600 square feet

the ratio is 2:600 if you simplify you will get 1:300

We need to find how much we can cover with 5 gallons so just times each side of the ratio by 5 after simplifying.

Hope this helps

Answer:

1500 square feet

Step-by-step explanation:

2 gallons of paint can cover 600 square feet

the ratio is 2:600 if you simplify you will get 1:300

We need to find how much we can cover with 5 gallons so just times each side of the ratio by 5 after simplifying

Answer:

35

Step-by-step explanation:

We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:

15, 15, 15, 15, 15.

We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:

12, 15, 18, 15, 15.

Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:

1, 15, 18, 15, 26

Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:

1, 2, 18, 15, 39.

Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:

1, 2, 18, 19, 35.

Each value is distinct.

The largest possible value is 35.

Answer:

35.

Step-by-step explanation:

Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.

You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.

You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.

Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.

To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.

And there you have it! The maximum possible value of the largest of these five integers is 35.

Hope this helps!

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation: