1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Furkat [3]
2 years ago
11

Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am

timed
graph only goes up to 14. thank you​

Mathematics
1 answer:
zlopas [31]2 years ago
5 0

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

Now , Calculating D ;

{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

{:\implies \quad \sf D=100-108}

{:\implies \quad \bf \therefore \quad D=-8}

Now , Calculating the vertex ;

{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

{:\implies \quad \bf \therefore \quad Vertex = (5,2)}

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

You might be interested in
aidan gets an allowance of m dollars. He spends n dollars per day. write an equation for the amount that is left for spending af
alukav5142 [94]

Answer:

m-(nx)

Step-by-step explanation:

He starts with <em>m</em> dollars, and every day spends <em>n</em> so you would multiply <em>n</em> and <em>x</em> to figure out how much he spent over how many days.

6 0
2 years ago
An equilateral triangle of each side 4 cm​
MaRussiya [10]

Answer:

Each side of the triangle is 4cm and each angle is 60 degrees

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Train A departs from Point A with a velocity of 100 km/h, Train B departs from Point B with a velocity of 200 km/h, and the dist
Bad White [126]

It would take 4 hours for both trains to meet.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let t represent the time at which both trains meet, and d represent the distance covered by train A, hence:

For train A:

100 = d / t

t = d/100

For train B:

200 = (1200 - d) / t

t = (1200 - d) / 200

d/100 = (1200 - d)/200

2d = 1200 - d

3d = 1200

d = 400 km

t = 400 / 100 = 4 hours

It would take 4 hours for both trains to meet.

Find out more at: brainly.com/question/22610586

8 0
2 years ago
Idk wby it sets it up so weird in word form so imma just put this here
Anit [1.1K]

Answer:

141/2, 279/4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A computer store buys a computer system at a cost of 474.60 ​$. The selling price was first at 791 ​, but then the store adverti
GalinKa [24]
So the question is the original price was $791 and they bought it at the marked down price at $474.60? then they saved $316.40 but i’m not really sure if that’s the question lol
5 0
3 years ago
Other questions:
  • The rectangular field is 120 yards long and 40 yards wide. How many square yards is it’s area?
    7·1 answer
  • Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expre
    7·2 answers
  • Please answer my question now in two minutes
    14·1 answer
  • Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
    12·1 answer
  • What 17 multiply and adds to get -2
    14·2 answers
  • Several programs attempt to address the shortage of qualified teachers by placing uncertified instructors in schools with acute
    5·1 answer
  • at a store , sales tax is charged at a rate of 2% on the cost price of an item. the sales taxon a dress which cost $180 is?
    9·1 answer
  • Please help me with this :)<br>If fake answer then will be reported.​
    6·2 answers
  • ( 3 1/8 + 4.5) division 5​
    5·2 answers
  • LMNP is a rectangle. Find the value of x. LN=8x-7 and MP=2x+5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!