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
Ugo [173]
3 years ago
9

Compete the square to determine minum or maxuim value of function define by -x2+10x+5

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

maximum value y = 30

Step-by-step explanation:

Given

- x² + 10x + 5

To complete the square the coefficient of the x² term must be 1

factor out - 1

= - (x² - 10x) + 5

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 10x

= - (x² + 2(- 5)x + 25 - 25) + 5

= - (x - 5)² + 25 + 5

= - (x - 5)² + 30 ← in vertex form

y = a(x - h)² + k

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

Hence vertex = (5, 30)

The max/ min occurs at the vertex

Since a < 0 then vertex is a maximum

Hence maximum value is y = 30

You might be interested in
What is the solution for x in the equation? 16x − 4 + 5x = -67
Luden [163]

Answer:

x = -3

Step-by-step explanation:

16x − 4 + 5x = -67

Combine like terms

21x -4 = -67

Add 4 to each side

21x-4+4 = -67+4

21x = -63

Divide each side by 21

21x/21 = -63/21

x = -3

3 0
2 years ago
Read 2 more answers
2/3 of the students in the cafeteria are 6th graders how many 6th graders are there if the cafeteria has 180 kids
Sergeu [11.5K]

Answer:

120 6th graders

Step-by-step explanation:

You need to set up a proportion...

2/3= x/180

360=3x

x=120

3 0
2 years ago
Read 2 more answers
What would the x and y intercept for the following question? 5x+10y=20
Setler79 [48]

Answer:

y= 1/2x+2

y int is 2

x int is -2

Step-by-step explanation:

plug in 0 for y int

set the equation equal to 0 for x int

8 0
3 years ago
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
Naya [18.7K]
This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
' n ' is the number of years after today,
then

         Population  =  422,000 (1.12)ⁿ .
6 0
3 years ago
I have a 15ft x 36in (4.57m x 91 cm) pool and the mats i wanna buy are 20.5-in x 20.5-in. How many mats would i need to put unde
yuradex [85]

Answer:

you would need 4 matts

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Express your answer as a monomial...<br>(6a^2b)(-7a^4b^7)
    14·1 answer
  • Can someone plzzz help me with number 8 plzz show work plzzzz
    7·1 answer
  • (x2 + 5x - 14) = (x - 2)
    13·2 answers
  • Eduardo thinks of a number 1 and 20 that has exactly 5 factors. What number is he thinking of?
    10·1 answer
  • Two stores have movies to rent
    13·2 answers
  • 7. Solve the equation.<br> x + 3 = 3x - 7<br> A-10<br> B - 12<br> 05<br> OD-2
    8·2 answers
  • I need help pls how do u do this step by step? ):
    5·1 answer
  • What is the common difference for the arithmetic sequence?
    11·2 answers
  • Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, st
    13·1 answer
  • I need help with 4=2/3(2x-9
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!