Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)

Answers

Answer 1

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4


Related Questions

I NEED HELP ASAP!!!!!!!!!!!

Answers

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics​

Answers

Answer:

the answer is D

Step-by-step explanation:

How many different ways can the letters of grade be arranged?
( I have to use permutation to solve please and thank you )

Answers

Answer:  120 different ways

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

GRADEIt has five letters

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

120 ways

Ama and Kwame shared an amount of money.
If Ama received one third of the money. Which
fraction is for Ama's share?



Answers

Answer:

2/3
Or two thirds

Explanation:

1-1/3 is 2/3

Please mark brainliest.

I’m really confused… feedback would be appreciated!

Answers

Answer: 13/34

Step-by-step explanation: In total there are 34 people


There are 13 professors and instructors.

That means that there is a 13/34 chance.

The other person who answered is correct

ANSWER QUICK WITH THE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️⭐️!

Answers

your answer would be, B.

10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I

Answers

Answer:

0=0 (true)

Step-by-step explanation:

You: 10x+2y=45.50

Friend:

5x+y=22.75

*multiply by 2

10x+2y=45.50

now you subtract both equation...

10x+2y-10x-2y=45.50-45.50

0=0

HELP!! What is the surface area of this figure?

Answers

Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

if x+y = -10 and x-y = 2 what is the value of x

Answers

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

y = 8 , x = 15

Step-by-step explanation:

[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]

Cross Multiply.

51 * y = 24 * 17

Then solve for y.

[tex]y=\frac{24*17}{51}[/tex]

y = 8

Same thing for the x.

[tex]\frac{45}{51}=\frac{x}{17}[/tex]

Cross Multiply.

51 * x = 45 * 17

Solve for x.

[tex]x=\frac{45*17}{51}[/tex]

x = 15

Use the order of operations to find the value of the expression.

2
+
3
×
16

2
×
21

3
A.
5

B.
14

C.
35

D.
44

Answers

Using the order of operations to find the value of the expression, we have; A. 5

How to carry out order of operations?

We want to use order of operations to solve the problem;

2 + 3 × 16 − 2 × 21 − 3

Now, the order is called BODMAS which means;

Bracket, Of, Division, Multiplication, Addition, Subtraction.

From the order above and looking at our question, we will first carry out multiplication to get;

2 + 48 - 42 - 3

Next is addition to get;

50 - 42 - 3 = 5

Read more about Order of operations at; https://brainly.com/question/16788360

#SPJ2

Factor the polynomial.

2x^3 + 4x^2 + 8x

A) 2x^3 + 4x^2 + 8x

B) 2x^2(x + 2x + 4)

C) x(2x^2 + 4x + 8)

D) 2x(x^2 + 2x + 4)

Answers

Answer:

D) 2x(x^2 + 2x + 4)

Step-by-step explanation:

[tex] {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)[/tex]

Hope it helps

Which function is the inverse of f(x) = -5x -4?

Answers

Answer:

f−1(x)=x5+45

Step-by-step explanation:

Please please help me !
Thank you for the help.
Point and brainliest

Answers

1. no

2. no

3. strong

4. positive

this is what i think is right. lmk which is wrong :)

NO LINKS!!

Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need? ​

Answers

Answer: Approximately 211.628311 feet of wire is needed

==========================================================

Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 78°A = 44 ftH = w

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

Ruby is painting her house. She uses 2 2/7 gallons of paint in the living room. To paint the kitchen, Ruby uses 5/8 of the amount of paint she uses in the living room. Which expression can be used to find the number of gallons of paint Ruby uses to paint the kitchen?

Answers

Answer:

ur momma

Step-by-step explanation:

yea so you take the 5/8 and the 2 and the 2/7 and you dd then subtract then divide

Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.

Answers

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches

Answers

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

I NEED HELP ASAP NO LINKS PLEASE I WILL MARK YOU BRAINLIEST

IF YOU DO NOT KNOW THE ANSWER PLEASE DO NOT EVEN TYPE A SENTENCE UDEE THIS THREAD

Answers

Answer:

354.5

Step-by-step explanation:

The area of a circle is calculated as A = πr².

Answer:

358.36(rounded to nearest hundredth)

Step-by-step explanation:

area of sector =

[tex] \frac{120}{360} \times area \: of \: circle \\ = \frac{120}{360} \times (3.14 \times {18.4}^{2} ) \\ = 354.3594667 \\ = 354.36(nearest \: hundredth)[/tex]

Question 1
1 pts
A private parking lot in downtown Philadelphia is being built. It's 120' long by 75' wide. To put a
fence around it, the construction company will need at least 390' of fencing material. True or false?

Answers

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

Is the fence enough?

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

If you want to learn more about perimeters, you can read:

https://brainly.com/question/24571594

Please help I'll mark brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.


Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times the
distance John walked. Interpret the expression 2y + 4 and identify the correct choice.

Answers

Answer:

Option D

Step-by-step explanation:

Let the distance Brenda walked is B and distance John walked is J.

We have

B = 5J

and

B = 5(2y + 4)

Comparing the two equations we see

J = 2y + 4

It means 2y + 4 is the distance walked by John

Correct answer choice is D

Find the distance between the two points in simplest radical form.
(9,-1,) and (3,3)

Answers

Hey there!

The distance will be 7.21 units

Step-by-step explanation:Here,

x1 = 9, x2 = 3

y1 = -1, y2 = 3

By using Distance formula

[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]

Hope it helps

Help help help help math math

Answers

Answer:

5

Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5

Hope it helps.

Do comment if you have any query.

5


??? • 7 = 7 • 5

this means you need an equation that equals 7 • 5 = 35 which means if you switch the numbers you could say 5 • 7

After a successful fishing trip, Leo weighed his catch. He determined he caught a total 6.5 kilograms of fish. The recipe Leo wants to use to make fish stew lists their measurements in grams. Help Leo convert the weight of his fish from kilograms to grams.

Answers

Answer:

6 1/2 Grams

Step-by-step explanation:

Hope this helped!!

The weight of Leo's fish from kilograms to grams is 6500 grams

What is kilograms?

Kilograms is the "SI unit of mass (equivalent to approximately 2.205 lb), first introduced as a unit of mass for the metric system".

According to the question,

Leo catch a total 6.5 kilograms of fish. He wants to convert kilograms into grams.

Formula to convert kilograms into grams 1 kilograms = 1000 grams

In order to find kilograms into grams only if multiply given kilogram into 1000.

6.5 × 1000 = 6500 grams

Hence, the weight of Leo's fish from kilograms into grams is 6500 grams.

Learn to more about Kilograms here

https://brainly.com/question/19013677

#SPJ2

What is the range of the function graphed below?

Answers

The answer is A hope this helps (please give me points

Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.

Answers

Answer:

Step-by-step explanation:

what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?​

Answers

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

Nine is 2% of what number?​

Answers

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

I need help finding the surface area of this shape

Answers

Answer:

1030 [tex]yd^{2}[/tex]

Step-by-step explanation:

split it into 2 different rectangular prisms

first one is 27 yd by 8 yd by 9 yd

second is 10yd by 8 yd by 12 yd

Answer:

1494 [yd²].

Step-by-step explanation:

1) the required area can be calculated as (see the attached picture):
A=A1+A2+A3+A4+A5+A6+2*A7;

2) finally,

A=9*8+17*8+8*12+10*8+(12+9)*8+27*8+2*(27*9+12*10);

A=1494 [yd²].

Note, the suggested solution is not the shortest one.

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PLEASE HELP!!!!! I need to pass algebra !!!Someone please help me with this. Its my last question and I dont want to get it wrong please help!!!What is the importance of preparing for a lecture?A)It helps you determine the value of the lecture as it relates to your learning.B)It helps you to listen for errors in the speaker's facts or supporting ideas.C)It helps you focus and find meaning in what you hear.D)It helps you to stay alert during a lecture Through the specific example of John service what does McCarthy imply about the entire United States government Find the value if x. PLS HELP ASAP Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. Please help me!! I need an answer fast! Discuss the correct exposure and how is it necessary I AM BEGGING FOR A CORRECT ANSWER PLEASE!!!!!!!!!!!In the United States, rising labor costs have pushed some commercial gardening and fruit farmers tohire undocumented workers.move their operations overseas.go organic to reduce costs.avoid specialty farming.limit experimentation. what is 2 multiplied 34 times plus 72 divided 3 Janet wants to line a block of text on the right what up come in and allow her to do thisa. indetb. window controlc. justificationd. line and page breaks The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen? Use a comma when two independent clauses are connected by a _ conjunction Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby high school and 210 students from a nearby college to compare levels of physical fitness. The mean and standard deviation of the fitness levels of the high school students were 82 and 14 respectively. The mean and standard deviation of the fitness levels of the college students were 86 and 17 respectively. She conducted a two-sided t-test with a resulting t-value of 2. 63. Lf a = 0. 05, what is an appropriate conclusion from this study? Because the sample means only differ by four, the population means are not significantly different. Because the second group has a larger standard deviation, their mean fitness score is significantly higher. Because the second group has a larger standard deviation, the mean fitness score of the first group is significantly higher Because the p-value is greater than a 0. 05, the mean fitness scores for the two groups of students are not significantly different. Because the p-value is less than a 0. 05, the mean fitness scores for the two groups of students are significantly different Alliteration isA. the repetition of themes and ideas.B. the implication of a word meaning.C. the repetition of sounds at the ends of words.D. The repetition of sounds. Fill in the blanks with the correct world/s to complete the statement. write your answer on a separate sheet of paper Rukmanis sons are blamed for the uprising at the tannery because of how do you find the perimeter on a pythagorean theorem word problem? What was the purpose of the Twenty-Sixth Amendment? A. It gave presidents the right to pardon individuals for federal crimes. B. It allowed 18-year-olds to be drafted into military service. C. It affirmed students' rights to free speech in student newspapers. D. It expanded the right to vote to all 18-year-old US citizens. In the figure below, all lines intersect at point W. What is the value of angle VWX? The sale price of a red pillowcase is $3.87 on sale for 25% whats the original price Rewrite each of the following expressions without using absolute value bars. |x-4| if x>4