complete the square f(x)=x^2-12x-4

Answers

Answer 1

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)


Related Questions

What is the value of 3n +1 when n = 4?
A. 12
B. 13
C. 7
D. 8​

Answers

Answer:

B. 13

Step-by-step explanation:

3(4) + 1 = 13

Answer:

13

Step-by-step explanation:

3n=3x4=12

12+1=13

What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306

Answers

Step-by-step explanation:

h(-3)=6×2 - 2(-3) + 12

12+6+12

=30

What is the value of x in the equation 3x − 2 = x + 8?

Answers

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

write the equation of a circle with a center at (-1,2) and a radius of 7

Answers

Answer:

[tex](x+1)^2+(y-2)^2=49[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]

What is the coefficient of the fifth term in a binomial that is raised to the sixth power?

15
5
20
6

Answers

the answer is 15 :))

Answer:

It is 15. Therefore, the coefficient's of the fifth term of binomial expression raised to the power six is 15

(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x

Answers

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

Santiago has a points card for a movie theater.
He receives 55 reward points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.

Write and solve an inequality which can be used to determine xx, the number of visits Santiago can make to earn his first free movie ticket.

Answers

Answer:

12

Step-by-step explanation:

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

help uhhhhhh please ye

Answers

Answer:

d= 90 degrees

e= 66 degrees

f= 114

Step-by-step explanation:

D is 90 because the measure of the angle on the line is 180 and it shows that the other angle is 90 and 180- 90= 90. E is 66 because opposite angles are congruent. F is 114 because they lie on a straight line which has the measure of 180 and 180- 66= 114

Answer:

d = 90°

e = 66°

f = 114°

Step-by-step explanation:

d = 90°

e = 66°

Reason : Vertically opposite angles

Angles f and 66° are in the linear pair.

f + 66° = 180°

f = ( 180 - 66 )°

f = 114°

Solve for x. For your answer, you

Answers

use Sin,cosine, and tangent that should help you.

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62

I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?

Answers

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder


4x + y = 7
- x - y = 2
If (x, y) is the solution to the given system of equations, what
is the value of x?
a) -8
b) 26
c) -5
d) 3

Answers

I think the answer would be -8 I’m sorry if I’m wrong
d)




JjjidodlskshslsosjdbkdlsosidjdkwkLldowozjxjdnsklxowjdjjsnwns

Fill the empty slots by dragging tiles from the left to show

the next step for solving the equation

Solve the two-step equation

- 3x - 21 = 27

NG

No

Show result

Please help

Answers

Answer:

x =-16

Step-by-step explanation:

Given the equation

-3x - 21 = 27

We are to find the next step in solving the equation

Step 1: Add 21 to both sides

-3x - 21 + 21 = 27 + 21

-3x = 48

Step 2: Divide both sides by -3

-3x/3 = 48/3

-x = 16

x = -16

Hence the value of x is -16

help worth 50 points

Answers

Answer:

it is an outlier !!!!!

PLZZ HELP MEEEE PLZ PLZ I’LL MARK AS BRAINLIESTTT!!!!

Answers

Answer:

The object is moving at a constant speed

Step-by-step explanation:

Does the graph shown below represent y as a linear function of x?

Answers

Answer:

No, it does not.

Step-by-step explanation:

A linear function of x will form a straight (non-vertical) line on a graph.

This is caused directly by the equation

y = ax + b

For some constant a and b, which means that the rate of change is constant.

The graph of y = f(x) is shown below. Find the value of f(9).







Answers

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

math question please help

Answers

Answer:

function is h(t) = -16t² + 22t + 6

max height is 13.5 feet

Step-by-step explanation:

I need help with 13 ABCD

Answers

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds​

Answers

Answer: Acres he can plant with the remaining seeds

Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome

2+2


I really struggle with this one plz help

Answers

2 + 2 = 22









Jk is 4 lol

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

ASAP ILL GOVE 10 POINTS
Ashwin has equal numbers of classical songs and pop
songs loaded on his personal music player. He has it set to
play songs on a random shuffle. Suppose Ashwin is
designing a simulation that could be used to estimate the
probability that the next three songs to play are all pop
songs
Which simulation design could Ashwin use to estimate the probability?
A Number cube
Let 1 = classical
Let 2 = pop
Ro
be three times. Repeat
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
C. Random digits
Let 1. 2. 3 classical
Let 4, 5,0 = pop
Select three random digits. Repeat
D. Random digits
Let 1, 2, 3, 4,5 = classical
Let 6, 7, 8, 9 pop

Answers

Answer:

B

Step-by-step explanation:

Took the test on AP3X

Answer:

B. Number cube

Let even number = classical

Let odd number = pop

Rollcube three times. Repeat

Step-by-step explanation:

Test approved

In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.

a. Create and graph a function to model the population, y , (in thousands), x years after 2000.
b. In complete sentences, interpret the relationship between the rate of change of the function and its graph.
c. Predict the population of the city in the year 2012.

In your final answer, be sure to include your model, graph, interpretation, and prediction of the function.​

Answers

Answer:

a) 600,000 (1.018)ᵗ, the graph is below:

* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.

b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.

c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this

Answers

The answer would be Triangle
hope this helps
umm so idrk what the question is but this describes a triangle

Please help! Thank you so much! please use lots of details!

Answers

A small rectangle, large rectangle, a small rectangle

Also, just as a tip- for Schoology, to edit the doc/slide in the normal way, press "edit" and let the document open in a new tab. To submit, go back to the screen you're on right now, and submit as usual

Order the following numbers from largest to smallest: -7,8,0,-14, -4,-2, 1

Answers

Answer: -14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

-14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs

Answers

Answer:

1:3 ............... ......

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

i need help with this

Answers

Answer:

(1,3)

Step-by-step explanation:

It is the intercept of the two lines

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