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
Hitman42 [59]
3 years ago
15

What is the minimum value for g(x)=x^2-10x+16? Enter your answer in the box.

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

- 9

Step-by-step explanation:

The equation of a parabola 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

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

g(x) = x² - 10x + (- 5)² - (- 5)² + 16

      = x² - 10x + 25 - 25 + 16

     = (x - 5)² - 9 ← in vertex form

vertex = (5, - 9), hence

minimum value = - 9

You might be interested in
PLS HELP ASAP PLZ PLZ PLZ
KIM [24]
I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

y + 5 =

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as 6r * 7=

I hope this helps!:)

6 0
3 years ago
Whats 1/7 + 3/4 ?<br> Please help me?
Katen [24]

Answer:

25/28

Step-by-step explanation:

28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)

1/7 = 4/28

3/4 = 21/28

21/28 + 4/28 = 25/28

6 0
3 years ago
Read 2 more answers
There's 5 trees fill with apples. Alex wants 2 off each tree. How much apples do she have? ​
liq [111]

Answer:

10

Step-by-step explanation:

5 trees * 2 from each = 10 apples

6 0
3 years ago
Read 2 more answers
Identify the property shown by the equation.
IceJOKER [234]

7 + (5 + 8) = (7 + 5) + 8 is showing associative property as it is in the form a + (b + c) = (a + b) + c.

Given: To identify the property for the following:

7 + (5 + 8) = (7 + 5) + 8

What are the different types of properties?

1. Commutative Property: Given two numbers a and b, then

a + b = b + a where a, b are some real numbers.

Note: It is commutative on the binary operator of addition (+).

2. Associative Property: Given three numbers a, b and c, then

(a + b) + c = a + (b + c) where a, b and c are some real numbers

Note: It is associative on the binary operator of addition (+).

3. Identity Property: Given some real number a. Then there exist some number (say for instance 1) within the real domain such that a ×  1 =  a.

For this demonstration above 1 is the identity element.

4. Distributive Property: Given three numbers a, b and c, then

a × (b + c) = a × b + a × c, where a, b and c are some real numbers.

Note: It is distribute over the binary operator of addition  (+) and multiplication (×)

So, for the given question: 7 + (5 + 8) = (7 + 5) + 8, it is in the form of

a + (b + c) = (a + b) + c, which shows the associative property over the binary operator of addition.

Hence 7 + (5 + 8) = (7 + 5) + 8 is associative.

Know more about "properties of equation" here: brainly.com/question/5637942

#SPJ9

5 0
2 years ago
A movie rental website charges $5.00 per month for membership and $1.25 per movie.
denis-greek [22]
To solve this problem, I would transfer this word problem into an equation with variables.

let the variable m stand for the amount of movies andrew rents.

5.00+1.25m=16.25

Now that we have our equation, we can just solve it like any other equation.
To do this, first, we would subtract 5.00 from both sides, resulting in the equation

1.25m=11.25

Next, we would divide both sides by 1.25, resulting in your final answer

m=9.

This means that Andrew rented 9 movies if his total was 16.25
4 0
4 years ago
Other questions:
  • Solve the equation.<br> 10x + 2 = 32<br> X =<br> Solve for x.
    10·1 answer
  • Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
    6·1 answer
  • Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. Two lines labeled f(x) and g(x). Line f(x) passes throu
    6·1 answer
  • The sum of 3 times a number and 4 is 10. Find the number.
    13·2 answers
  • Answer key to party planning
    13·1 answer
  • Which of the points are solutions to the inequality?
    9·1 answer
  • 4. For the Earth to get all the way around the Sun and back to where it started takes
    12·2 answers
  • What is the range of the data set 125,<br>236, 185, 125, 201, and 155?​
    6·1 answer
  • A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
    13·2 answers
  • Find the smallest 4 digit number which is exactly divisible by 72 and 108<br>with explaination​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!