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
kiruha [24]
2 years ago
9

Whats the minimum and maximum value of f(x)=3(x+8)^2−10

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
7 0

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=-\frac{b}{2a} If a is positive, the minimum value of the function is f (-\frac{b}{2a}).

Substitute in the values of aa and b.

x=−\frac{48}{2(3)}

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

You might be interested in
-10 2/7 divided by -4 4/11
madam [21]
The answer is 2.35714285714!
hope this helps!!
4 0
3 years ago
Read 2 more answers
A bag contains 10 blue, 6 green, and 4 red marbles. you choose one marble. without putting it back, you choose a second marble.
Alex777 [14]
2/20 is a possibility 
7 0
3 years ago
Read 2 more answers
F(x) = 5x +11 – 3
xz_007 [3.2K]

Answer:

d (f-g)(x)=(5]-6 this is a brainly answer

8 0
2 years ago
1/4(4y+16)-6=-1/5(10y-35)
Marizza181 [45]
Y=3
Simplify
Distribute
Combine like terms
Add 2y to both sides
Add 2 to both sides
Divide by 3 , both sides.
If u want me to write the numbers and all just reply
8 0
3 years ago
Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Expr
Anarel [89]

Answer:

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school.

a) It is the intersection A ∩ B

b) This is the difference A − B.

c) It is the union A ∪ B.

                                   ---    ---

d) It can be shown as A ∪ B. (bar over A and B both)

5 0
3 years ago
Other questions:
  • Help me with 234 thousands + 7 ten thousands = need answer ASAP!<br><br> Thanks
    14·2 answers
  • Which statement is true of every plane in three-dimensional space?
    9·2 answers
  • The midpoint of cd is (8,-6). the coordinates of c are (0,-5). Find the coordinates of D
    11·1 answer
  • How do I solve for question number 8
    10·1 answer
  • Two and one two divided by four and four fifths
    7·2 answers
  • Points A, B, C, and D are located on a line. A is at (-6,13), D is at (2,14), C is the midpoint of AD and B is the midpoint of A
    14·1 answer
  • Help me please I’ll give BRAINLYIST. A person runs 1 mile in
    7·1 answer
  • I’m not sure which answer it is !??
    11·1 answer
  • The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a _______
    7·1 answer
  • What are the total calories in a sandwich if it contains 25 grams of total fat?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!