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
Sedaia [141]
3 years ago
10

Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 8x + 6

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

Minimum at (-4, -10)

Step-by-step explanation:

x² + 8x + 6

The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.

Subtract the constant from each side

x² + 8x = -6

Square half the coefficient of x

(8/2)² = 4² = 16

Add it to each side of the equation

x² + 8x + 16 = 10

Write the left-hand side as the square of a binomial

(x + 4)² = 10

Subtract 10 from each side of the equation

(x+ 4)² -10 = 0

This is the vertex form of the parabola:

(x - h)² + k = 0,

where (h, k) is the vertex.

h = -4 and k = -10, so the vertex is at (-4, -10).

The Figure below shows your parabola with a minimum at (-4, -10).

You might be interested in
I only need help on number 6 plzzzz help
Gennadij [26K]
That question is asking for the time so your answer will specifically be in hours. And I'm not sure if you divide or you multiply but I'm pretty sure the correct answer is dividing because tomorrow so cancel the miles they will be left with hours. I don't know if that makes sense to you but it kind of makes sense to me somehow.
4 0
3 years ago
Read 2 more answers
70 points!
astra-53 [7]

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5

3 0
3 years ago
(1+2i) (2+5i)
Lostsunrise [7]

Answer:

Step-by-step explanation:

first multiply 1 with 2+5i then multiply 2i with 2+5i and you will get

2+5i+4i+10i^2

then in the next step add 4i and 5i you will get 9i

in the next step put i^2=-1 and you will get -10

in the last step just substract 2-10 you will get -8 and 9i

and your answer will be -8+9i

5 0
3 years ago
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
Please help with this
dimulka [17.4K]

Answer:

bruh

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Dentify the GCF of 10x4y3 − 5x3y2 + 20x2y.
    14·1 answer
  • A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
    9·1 answer
  • "Reflex angles measure more than 180 degrees" has a counterexample. True or False?
    5·1 answer
  • Buy stickers stickers what fraction of the schedule looking silver
    13·1 answer
  • Help me with this somebody.
    12·1 answer
  • How many millimeters are in a pint
    12·1 answer
  • Which of the following is the best estimate of 694 divided by 4. A. 150 B. 180 C. 210 D.280
    5·2 answers
  • Please help me with this question I took a picture of it
    9·1 answer
  • Can someone help me with this?
    14·1 answer
  • Solving Simultaneously equations<br> 3. 2x + 3y = 1<br> -x + 2y = - 4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!