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
Svetllana [295]
3 years ago
14

20-90x-50x^2 find the vertex

Mathematics
2 answers:
Leni [432]3 years ago
6 0

20-90x-50x^2, written in standard form, would be -50x^2 - 90x + 20. Let's use the method of completing the square to determine the vertex:

Divide all terms in -50x^2 - 90x + 20 by -50, obtaining -50(x^2 + (9/5)x - 2/5)

The coefficient of x is 9/5. Divide this by 2, obtaining 9/10, and then square this result: (9/10)^2 = 81/100. Add this to x^2 + (9/5)x - 2/5 and then subtract it, resulting in x^2 + (9/5)x - 2/5 + 81/100 - 81/100, or

x^2 + (9/5)x + 81/100 - 2/5 - 81/100, or

(x + 9/10)^2 - 12100

Then the vertex location is (-9/10, -12100).

A faster approach would be to use x = -b / (2a) to determine the x-coordinate of the vertex and then to evaluate the function at this x-value to determine the y-coordinate. Here x = -(-90) / (-100) = -9/10 (same as before).

lawyer [7]3 years ago
4 0
I think it’s your answer

You might be interested in
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product
saveliy_v [14]

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

5 0
3 years ago
Find the value of a.<br> a<br> 52
liberstina [14]

Answer:

26

because a is gone in b than

7 0
2 years ago
What is the exact distance from (−4, −2) to (4, 6)? square root of 24. units square root of 88. units square root of 100. units
Mrrafil [7]
Thank you for posting your question here at brainly. The exact distance from (−4, −2) to (4, 6) is the forth one which is <span>square root of 128.  units. I hope the answer will help you. Feel free to ask more question. </span>
3 0
2 years ago
Read 2 more answers
How many solutions does the polynomial equation ( x+8)2( x-1) = 0
Olin [163]

Answer:

-8 and 1

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Sharice can fill lemonade cups at a rate of four cups per minute how many can she fill in 6 minutes
    13·2 answers
  • Worth 18points
    14·1 answer
  • If a person is 6 feet 11 inches tall, and weighs 153<br> pounds, what is their BMI?
    8·1 answer
  • 2
    6·2 answers
  • mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
    8·1 answer
  • Which equation has no solution?
    6·1 answer
  • How much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount
    7·1 answer
  • What is differnciation​
    5·1 answer
  • Please help me its help.
    12·2 answers
  • Find the area of the trapezoid 3cm 3cm 4cm 1cm
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!