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
IceJOKER [234]
3 years ago
8

Write the quadratic function in vertex form, then identify the vertex

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

You might be interested in
Please help me asap I am in class
lions [1.4K]
2: 2/3; 3: 3/4; 4: 1/4; 5: 1/3; 6: 1/4; 7: 4/5; 8: 5/6-3/6=1/3
4 0
3 years ago
Someone please help...​
Viefleur [7K]

Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

3 0
3 years ago
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass
zimovet [89]

Answer:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

X \sim N(14.4,1.1)  

Where \mu=14.4 and \sigma=1.1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

P(X  

P(z

And we have:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0
3 years ago
Use the distance formula to slove how far the points are on the a coordinate plane. Points are (7,5)(3,2)
maksim [4K]

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

4 0
3 years ago
How many solutions is in x + 5 = 0
Natasha_Volkova [10]

Answer:

1 answer which would be -5+5 which =0

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • You earn $9.20 per hour at your summer job.Write and solve an inequality that represents the number of hours you need to work in
    8·1 answer
  • I just need a little help on this ??! Please.
    6·1 answer
  • -5(6x+3y-1)<br><br> What is this simplified
    15·2 answers
  • I need this answer as fast as i can get it
    6·2 answers
  • Which of the following demonstrates the Distributive Property?
    11·2 answers
  • Greer company pays jamal perry a salary of $2,200 per week. how much fica tax must greer pay on jamal's behalf, including both t
    5·1 answer
  • This Measure of Center gives you the average number.<br><br> Mean<br> Median<br> Mode
    10·2 answers
  • Find the slope of the line that passes through (10, 8) and (5, 4).
    13·1 answer
  • What would be the reminder of 20,000 divided by 24 ?
    13·1 answer
  • Find the lowest common denominator of 4/7 and 3/5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!