Mathematics College

PLEASE HELP TIMED TEST
How many more unit tiles must be added to the function
f(x)=x^2-6x+1 in order to complete the square?
0 1
06
o 8
O 9

PLEASE HELP TIMED TESTHow Many More Unit Tiles Must Be Added To The Functionf(x)=x^2-6x+1 In Order To

Answers

Answer 1

Answer:

8

Step-by-step explanation:

How many more unit tiles must be added to the function

f(x)=x²-6x+1 in order to complete the square?

The easier, but usually not viable way: If we look at how many more tiles need to be added, we can see that each smaller sides is 1 unit. Thus, we need 8 more tiles to complete the square.

However, this is just an educated guess. If we didn't have a diagram or it was drawn badly, we would be wrong. Let's solve it algebraically.

Note:

completing the square is changing a quadratic equation (the format is

ax² + bx + c = 0)into a(x - d)² + e = 0. (an example of this is (a + b)² or (a - b)²)

This may be confusing, but look at an example:

x² + 4x + 4 = (x + 2)²

Also note that, (a - b)² = a² - 2ab + b²

If we substitute a = x, then we get:

x² - 2bx + b².

Now, all we need to do is find b.

If we know that 2bx = 6x, then we can divide both sides by 2x and get an answer of

2bx = 6x

b = 3.

Thus, b is 3.

Remember, to complete the square, we need to find b², which is

3² = 9.

Then, because they already give us a "1", we just need to add 9-1 = 8 more units.

Just in case, let's check the answer.

If we add 8 to the problem, we get:

x² - 6x + 1 + 8 =

x² - 6x + 9

As you can see, this follows the a² - 2ab + b² format, so we can factor it.

x² - 6x + 9 = (x - 3)²

This is a completed square. Thus, we need to add 8 more unit tiles.

Answer 2

We need to add 9 to the expression to complete the square.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To complete the square for the given function f(x) = x² - 6x + 1, we need to add a constant term that will make the expression a perfect square trinomial.

We can find this constant term by taking half of the coefficient of x and squaring it.

Half of -6 is -3, and (-3)² = 9.

So we need to add 9 to the expression:

f(x) = x² - 6x + 1 + 9

= (x - 3)² + 1

This expression is now a perfect square trinomial.

Thus,

We need to add 9 to the expression to complete the square.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Related Questions

In two or more complete sentences compare the number of xintercepts in the graph of f(t)=t^2 to the number of x-intercepts in the graph of g(t)=(t+3)^2

Answers

Answer:

f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Step-by-step explanation:

which is the following quotient 2÷√13+√11​

Answers

Answer:

[tex]\sqrt{13} -\sqrt{11}[/tex]

Step-by-step explanation:

edge

Solve the question below

Answers

Answer:

name as AB =CD

angle A=angle D

BC=BC

hence angle ABC is congruent to angle BCD

(by sas congruency)

hence proved

This week, Nick's puppy weighs 6 kilograms. Last week, the puppy weighed 4.5 kilograms. How much mass, in grams, did the puppy gain?

Answers

1500 grams

1kg = 1000g

Answer:1500 grams

Step-by-step explanation:

Write answer in simplest form

Answers

a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
8.5 = c

what is the least common multiple of 27 and 54

Answers

answer:

54

step-by-step explanation:

find the prime factorization of 27

(27 = 3 × 3 × 3)

find the prime factorization of 54

(54 = 2 × 3 × 3 × 3)

multiply each factor the greater number of times it occurs in steps 1 or 2

above to find the lcm

lcm= 2 × 3 × 3 × 3

lcm = 54

good luck :)

hopefully, this helps

have a good day !!

Which similarity statement expresses the relationship between the two triangles?
FGH~KLJ
FGH~=KLJ
FGH~JKL
FGH~=JKL

Answers

Answer:

Option (2)

Step-by-step explanation:

From the given triangles ΔFGH and ΔJKL,

∠F ≅ ∠K

∠G ≅ ∠L

∠H ≅ ∠J

Therefore, ΔFGH ~ ΔKLJ [By the property of similarity of two triangles]

Option (2) will be the answer.

is it rigt ghghghghghghghghghghgh

Answers

Answer:

nope, the answer is the one above the one you chose

According to exponent rules, when we divide the expressions we _______ the exponents.

Multiply

Subtract

Divide

Add

Answers

Subtract :) Hope this helps

A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.

Answers

We can’t see it I need to see it to help u

Step-by-step explanation:

Hi have a great day!! This is our answer. If it is wrong, apologies from our side.

Find the area of the figure.
The area is
square units.

Answers

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

The measure of a smaller angle =


find a =

find c =

Answers

A= 48
C= 132

Hope it’s right
Best luck with your studying

Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10
nuts. What is the ratio of the number of sundaes with nuts to the number
of sundaes without nuts? *

Answers

Answer:

7:5 or 5:7

Step-by-step explanation:

Please help me with this question

Answers

Answer:

D would be your answer please mark as brainlest you press the crown button at bttom on me when sombody else answers too

Step-by-step explanation:

have a nice week

[o]-[o]

\___/

Write the equation

Please help!

Answers

Answer:

y=3x-8

Step-by-step explanation:

Y=3x-8 for your equation

Factor
x^3+8x^2+11x-20

Answers

Answer:

it would be: (x-1)(x+4)(x+5)

Step-by-step explanation:

to solve factor the polynomial using the rational roots theorem.

What is the midpoint of (1, 8) (9, 6)

Answers

Answer:

(5,7)

Step-by-step explanation:

x = 1 + 9 / 2 = 5 and y = 8 + 6 / 2 = 7

So the coordinate is (5,7)

Need help!!........................................

Answers

Answer:

C. [tex] \sqrt{48} [/tex]

Step-by-step explanation:

Applying the leg rule which is given as:

Hypotenuse/leg = leg/part

Hypotenuse = 8 cm

Leg = z

Part = 6 cm

Plug in the values

[tex] \frac{8}{z} = \frac{z}{6} [/tex]

Cross multiply

[tex] z*z = 8*6 [/tex]

[tex] z^2 = 48 [/tex]

[tex] \sqrt{z^2} = \sqrt{48} [/tex]

[tex] z = \sqrt{48} [/tex]

If a value of a car worth 50000 is deprecating half yearly at 10 percent pa the correct expression to express its value after 2 years is?

Answers

Answer:

50,000 x 0.90 ^ 4 = X

Step-by-step explanation:

Since the value of a car worth $ 50,000 is deprecating half yearly at 10 percent, the correct expression to express its value after 2 years is determined through the following calculation:

50,000 x 0.90 ^ 4 = X

32.805 = X

Thus, after 2 years with a semi-annual depreciation of 10%, the car will be worth $ 32,805.


Help help help please

Answers

B would be the answer.

50 points decreased by 26% is __________ points.

Answers

37% I believe.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

What is the answer I need to know

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

.

Did i get this right?
Am trying to find the area​

Answers

Answer:

Yea If im correct then you are

Step-by-step explanation:

I WILL GIVE BRAINLEST AND CREATE A RANDOM QUE FOR U TO GET AN EXTRA !!!!!50!!!!! POINTS (ONLY IF YOU ACTUALLY SHOW YOUR WORK AND IS CORRECT) hurry plz im in a rush


1.) Factor Completely: SHOW ALL WORK! 32a^8−128x^2

2.) Factor Completely: SHOW ALL WORK!x^3+4x^2−x−4

Answers

i think the first one is a simple as it gets

for the second one it could be simplified to 6x^6-4 because u combine the x terms and distribute the power

Answer:

1) 32(a^4+2x)(a^4-2x) 2) (x+4)(x+1)(x-1)

Step-by-step explanation:

What is the ordered pair of the midpoint of a segment with endpoints at (3, 10) and (7,
20)?

Answers

Answer:

to find midpoint =(x1+x2/2,y1+y2/2)

(3,10) ,(7,20)

x1 ,y1. x2,y2

=P(x,y)=(3+7/2,10+20/2)=(5,15)

midpoint of a segment =(5,15)


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

how far did we jump to go from 17 to 20
r=26-17
17+r=26​

Answers

Answer:

Both are correct!

Step-by-step explanation:

if R = 26 - 17 = 9

now the next one

17 + R = 26

Same thing as R = 26 - 17 = 9

Both are correct :)

Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs and 4 hamburgers for $16, what is the cost of one hamburger?

Answers

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

A.) an = 9 • 4n
B.) an = 9 • (-4)n + 1
C.) an = 9 • 4n - 1
D.) an = 9 • (-4)n - 1

Answers

Answer:

D.) an = 9 • (-4)n - 1 (The above guy was wrong and some rats rated it 5 stars despite it being wrong)

Step-by-step explanation:

This isn't the guy who answered 1sts fault its the morons that gave his answer 5 stars

30 POINTS

The height of a pop fly ball over the time after the ball is hit is modeled by the function, h(t) = -16t2 + 81t + 5, where h is the ball's height in feet above the ground and t is the time in seconds after the ball is hit.

How far above the ground was the ball when it was initially hit?

Answers

Answer:

Lies it’s only 15 points):

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

its c just trust me i got it right

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