Write an equation of the parabola in vertex form

Write An Equation Of The Parabola In Vertex Form

Answers

Answer 1

Answer:

y = -1/9(x - 3) + 1.

Step-by-step explanation:

THe vertex is at (3, 1) so we can write:

y = a(x - 3)^2 + 1    where a is a constant.

Now the point 1, 5/9) is on the parabola so:

5/9 = a(1 - 3)^2 + 1

5/9 =  4a + 1

4a = 5/9 - 1 = -4/9 so

a = -4/9 / 4

a = -1/9

So the equation is y = -1/9(x - 3) + 1.


Related Questions

How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?

Answers

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

Some emoji math, there are more to be solve as well. 15 points for each. Must explain how to get the answers you got.

Answers

Answer:

Ladybug=7

clock= 5

bulb= 2

Step-by-step explanation:

there are a whole row of ladybugs that equal 21. 21/3=7.

on the third row, the value we need is 12, 6 won't work because we also have a bulb. so pug in 5, 5+5=10, that means the bulb is 2.

So now that we know the values, lets plug them into the first problem to see if it gives us 14... it does

So we have the correct answers

Also, you can plug in the values for the the bottom numbers and you will get those values

In one of the rows there is 3 bugs = 21. Bugs = 7

Another row has bug+bug+a clock= 14+clock. 19-14 = 5. Clock=5

Another row shows bug+clock+bulb = 7+5+bulb=12+bulb. 14-12=2. Bulb=2

Hope this helps

What is the surface area please help I will mark brainliest

Answers

Answer:

292.5 square cm

Step-by-step explanation:

13 x 9 / 2 = 58.5 x 5 = 292.5 square cm

Hope that helps!

HELP FAST WILL MARK BRAINLYIST

Answers

Answer:

c

Step-by-step explanation:

Solve for x:
7x - 3x + 11 = 27

Answers

7x-3x=27-11
4x=16
16/4=x
x=4

Answer:

-10

Step-by-step explanation:

Find the slop of the line that passes through the points (-3,-1) and (0,3)​

Answers

Step-by-step explanation:

Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

A ( -3 , -1 ) & B ( 0 , 3 )

Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )

[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]

Slope of the line that passes through the points A ( -3 , -1 ) & B ( 0 , 3 )

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}[/tex]

~Plug the known values and then simplify !

⟼ [tex] \tt{ \frac{3- ( - 1)}{0- ( - 3)}} [/tex]

⟼ [tex] \tt{ \frac{3 + 1 }{0 + 3} }[/tex]

⟼ [tex] \tt{ \frac{4}{3}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}} [/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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What is the decimal multiplier to decrease by 0.4%

Answers

Answer:

.004

Step-by-step explanation:

translate the percent to a decimal

Answer:

0.996

Step-by-step explanation:

for a decrease u need to transfere to a decimal then take it away from 1

5) 9x + 8y = -2
-5x + 8y = 26
A) (2, 2)
C) (2,-2)
B) (-2,-2)
D) (-2, 2)

Answers

Answer:

5)9x+8y=-2

-5x+8y=26

A) (2,2)

the anwser is A :))))

Elliott took a survey for Turkey Filet. 18 students prefer turkey tenders and 12 students prefer fried turkey sandwiches with pickles on buttered buns. What percentage of students prefer turkey tenders? ​

Answers

Answer: 60%

Step-by-step explanation: multiply 18 by 100 than divide by 30

Click on the picture.
Find the missing length
Triangle in each pair are similar.

Answers

The answer is 18 simple

A high school soccer team has 3 freshman, 4 shohpmores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?​

Answers

Answer:

about 21? I think

Step-by-step explanation:

Find the solution set of this inequality 2x+4<6

Answers

Based on your image, I will assume u meant: [tex]|2x+4| \leq 6[/tex]

This means that x will have two solution sets, due to the absolute value.

[tex]-5\leq x\leq 1[/tex]

Solve system by using substitution: 5x + 3y = -4
y - 2x = 6

Answers

Answer:

x = -11/3, y = -4/3

Step-by-step explanation:

[tex]y-2x=6\\y = 2x + 6[/tex]

[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]

[tex]3y = -4\\y = -4/3[/tex]

PLS HELP Will give brainliest
There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly 6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?

Answers

The answer is 3 I dont get how but thats what the mathcounts site says.

Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencilsand rulers for their classrooms. Mrs. Ortizbuys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil?What was the price per ruler?a.

Answers

Answer:

Price per mechanical pencil: [tex]\$ 0.5[/tex].

Price per ruler: [tex]\$ 1[/tex].

Step-by-step explanation:

Let the cost per mechanical pencil be [tex]\$ p[/tex], and let the cost per ruler be [tex]\$ r[/tex].

Set up two equations based on the amount of money that each teacher paid.

The cost of [tex]50[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30[/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mrs. Ortiz paid. In other words, [tex]50 \, p + 30\, r = 55[/tex].

Similarly, the cost of [tex]30[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30 \![/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mr. Donahue paid. In other words, [tex]30 \, p + 30\, r = 45[/tex].

That gives a system of two equations:

[tex]\left\lbrace \begin{aligned}& 50 \, p + 30\, r = 55 \\ & 30 \, p + 30\, r = 45 \end{aligned}\right.[/tex].

Subtract the second equation for the first:

[tex]20\, p = 10[/tex].

[tex]\displaystyle p = \frac{1}{2} = 0.5[/tex].

In other words, the cost of one mechanical pencil would be [tex]\$0.5[/tex].

Substitute [tex]p = 0.5[/tex] back to either equation and solve for [tex]r[/tex], the cost of one ruler.

[tex]50 \times 0.5 + 30\, r = 55[/tex].

[tex]30\, r = 55 - 25 = 30[/tex].

[tex]r = 1[/tex].

In other words, the cost of one ruler would be [tex]\$ 1[/tex].

Please, please, please, please help

Answers

Answer:

27

Step-by-step explanation:

I need help with this to I just want to make sure I’m right or wrong.!

Answers

i’m pretty sure you’re right. hope this helps:)

Answer:

the answer is D

Step-by-step explanation:

In the slope - 6/11, the 11 indicates to

A. Rise 11 units
B. Fall 11 units
C. Run 11 units

Answers

Answer:

C. run 11 units

Step-by-step explanation:

because you run down -6 you rise 11

When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is​

Answers

Answer: 97%

Step-by-step explanation:

15% + 38% + 44% = 97%

HELP AAAAAAAAAAAAAAAAAAA
Name all the factors of 12.

Answers

I think it’s 1 2 3 4 6
2 4 6 8 1 hope this helps

If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?

Answers

Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...

Soo if you had $4 Million you'd pay it automatically.

Three fourths of the product of four fifths and fifteen

Answers

Answer:

I think it is 9

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

15 * [tex]\frac{4}{5}[/tex] * [tex]\frac{3}{4}[/tex] = 15 * [tex]\frac{3}{5}[/tex] = 9


Find the gradient of the line segment between the points (2,-3) and (-3,-8)

Answers

Answer:

1

Step-by-step explanation:

gradient=

[tex] \frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1[/tex]

Guys help me please.
How to solve it?

Answers

i don’t have a calculator right now but a triangle always adds up to 180 degrees so yeah

Answer:

16.21 degrees

ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)

Ground beef costs $2.19 per pound. Which equation best
represents y, the total cost of x pounds of ground beef?
A. x = 2.19y
B. x= 2.19+y
C. y = 2.19x
D. y = 2.19 + x

Answers

Answer:

C

Step-by-step explanation:

When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.

I need help please. thank you

Answers

pretty aure the answer is D

Answer:

the answer is b I'm pretty sur3

The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?

Answers

Answer:

33cm

Step-by-step explanation:

385 / 35 = 11

11 times 3 = 33

Which steps can be used to solve for the value of y ? 23(y+57)=178

Answers

Answer:

y= -49.26 or -49 6/23

Step-by-step explanation:

First distribute the 23 to y and 57

23y+1311=178

then subtract 1311 from both sides

23y=-1133

Then divide 23 to both sides

y= -49.2608695652

rounded: -49.3

as a fraction: -49 6/23

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.

ANSWER FAST PLEASE

Answers

Answer:

x=2

Step-by-step explanation:

It's 18+ 3x = 24 and (3.6) + (3.x) = 24

a student runs 2 mins for every 12 minutes he walks.

Answers

He walks for 24 minutes I think

Answer:look below

Step-by-step explanation:

4=24

6=36

8=48

10=60

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