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
vladimir1956 [14]
3 years ago
14

A parabola y=1/2x^2-4x+21 can you help me find the vertex form of this parabola please and thank you :)

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
Ok 
First factor out the first 2 terms as follows:-

y  = 1/2(x^2 - 8x) + 21

Now complete the square on x^2 - 8x:-

y = 1/2[ (x - 4)^2 - 16] + 21

y = 1/2(x - 4)^2 - 8 + 21

y = 1/2(x - 4)^2 + 13   Answer


You might be interested in
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Y
Luda [366]

Answer:

T = 4.541

Step-by-step explanation:

We don't have the standard deviation for the population, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 4.541

6 0
3 years ago
What is the volume of a sphere with a radius of 9 inches
Effectus [21]
Given the formula 
V=\frac{4}{3}πR³
so V=\frac{4}{3}π9³=972π
7 0
3 years ago
Read 2 more answers
Helpppppppppppppppppp pls​
BartSMP [9]

Answer:

b=30

Step-by-step explanation:

The angle here is a right angle which is an angle that equals 90 degrees. You subtract that measure of the angle by 60 and you end up with 30.

7 0
3 years ago
Find the quotient of 6y²-5y-56 and 2y-7.<br><br>help.​
pashok25 [27]

Answer:

i have made it in above picture

5 0
3 years ago
Write the quadratic equation where the roots are -1/3 and 5
STALIN [3.7K]

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

7 0
3 years ago
Other questions:
  • Ivan is riding his bicycle. he takes 5 hours to ride 62.5 kilometers. what is his speed
    6·1 answer
  • What does math anxiety mean?
    12·1 answer
  • I will fail if I get this wrong :(
    7·1 answer
  • The diagram below shows a square inside a regular octagon. The apothem of the octagon is 18.11 units to the nearest square unit
    6·1 answer
  • Please help!<br> -300<br> 120<br> 300
    7·1 answer
  • What is the unite rate for ratio 288 points 6games
    5·1 answer
  • Find the midpoint of the line segment with end coordinates of:<br> (1,4) and (5,2)
    15·1 answer
  • 14. 0.64,
    12·1 answer
  • Why are 1995 pennies worth less than 2018 pennies?
    11·1 answer
  • Three times a number decreased by seven equals four times a number plus seven
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!