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
Fed [463]
3 years ago
14

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

You might be interested in
A traveler has $100 in united states bills and wishes to convert them to argentine pesos. the traveler checks a newspaper for th
Maksim231197 [3]
Based on the given values above, we can find the exchange rate by simply multiplying $100 by the given exchange rate figure of 900.50. And the answer for this one would be 90,050. Therefore, the rate that he would receive is 90,050. It is the third option. Hope this answers your question. Have a great day!
3 0
3 years ago
At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven stude
den301095 [7]

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

8 0
3 years ago
Screen shot is down below!
Anestetic [448]

Solve for K by simplifying both sides of the equation, then isolate the variable.

K = 193

4 0
2 years ago
Read 2 more answers
The bar graph below shows the attendance at school dances. The ticket per price for each dance is $5 per student. Which two danc
topjm [15]

It's B because all the students that attended added together is 320 and 37.5 of 320 is 120

6 0
3 years ago
What is <br><br> 88x3-7+198-34x15+76-126=
PilotLPTM [1.2K]

-105

Multiply first, then subtract, then add.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find three consecutive integers such that the sum of the first, twice the second, and three times the third is ?76.
    13·1 answer
  • Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?
    5·2 answers
  • [3x-6=12]<br> How do solve this equation
    7·2 answers
  • What will be 66 2/3 as a percent explanation
    11·1 answer
  • How to<br> simplify (2^0)^-3
    11·1 answer
  • What is the interquartile range of this data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
    6·1 answer
  • 5 ft 9 ft<br> gft/ 7H-<br> 2 ft<br> 13 ft<br> Surface Area:<br> Volume:
    11·1 answer
  • The question is down below. <br> AB=
    15·1 answer
  • Need help ASAPPPP!!?
    10·1 answer
  • Yosef typed a 36 word paragraph in 2/3 minute. What is his typing speed, in words per minute?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!