Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answers

Answer 1

Step-by-step explanation:

g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4
Answer 2

Answer:

[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]


Related Questions


A bag contains 5 cherry, 8 orange, 2 grape, 7 bubblegum, and 3 apple
lollipops. What is the probability of choosing grape for your first lollipop
and orange for your second? (if you ARE replacing it) *
1/75
2/75
10/625
16/625

Answers

Answer:

16/625

Step-by-step explanation:

Step one:

sample space

A bag contains

5 cherry,

8 orange,

2 grape,

7 bubblegum, and

3 apple  lollipops.

sample size= 5+8+2+7+3= 25

Required:

The probability of choosing grape for your first lollipop

and orange for your second?

1. The probability of choosing the grapes lollipops

=2/25

2. the probability of choosing the orange  lollipops----Note in the second choice the sample size will reduce because the first choice was done with out a replacement

=8/24

The total is

2/25*8/25= 16/625

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33

Answers

Answer:

rate of 6

Step-by-step explanation:

need help on worksheet

Answers

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation:

the answer will be 0,-2,2,-1,1

HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?

A. (-2,0) and (-3,0)

B. (6,0) and (5,0)

C. (2,0) and (3,0)

D. (-6,0) and (-5,0)

Answers

Answer:

D

Step-by-step explanation:

yeah

Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.

Answers

Answer:

Step-by-step explanation:

Total yarn = 334 yards

Amount remaining = 118 yards

Amount knitted = 512

amount per hat =x

amount used = y

amount used = 334 - 118 = 514*x

y= 216= 514x

216 = 514 x         Divide by 514

216/514 = x

.42 yards/hat = x

PLEASE PLEASE HELP I NEED THE ANSWER SOON

Answers

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The domain is the list of x-values in the table. Choice A correctly lists the domain values.

The range is the list of y-values in the table. Choice B incorrectly describes the domain.

For x = -1, the table tells you f(x) = 6, so f(-1) = 6.

For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.

Choices A and C are correct.

A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation.
A. an = 11 + 4n
B. an = 4 + 15n
C. an = 19 + 4n
D. an = 15 + 4(n + 1)

Answers

Answer:

a

Step-by-step explanation:

i just took the test

The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n thus option (A) is correct.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

As per the given,

Cost of a tie-dye kit + 1 T-shirt = $15

Additional T-shirt = $4

This, means,

Cost of a tie-dye kit + $4 = $15

Cost of a tie-dye kit = $11

The total cost with n number of T-shirts will be as,

[tex]a_{n}[/tex]  = 11 + 4n

Hence "The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n".

For more information about the pattern,

brainly.com/question/14013716

#SPJ2

After a 5% discount, a car is on sale for $11,400. What was the price of the car before the discount?

Answers

Answer:

10,830

Step-by-step explanation:

find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer

write the equation of the line that passes through the point (2,-1) and has a slope of -3

Answers

Answer:

y=2/-1 -3

Step-by-step explanation:

Frieda paid $132 for groceries for her family. This was 1 1/8 as much as she paid for the previous time she shopped. How much did Freda pay on her previous shopping trip

Answers

Answer:

$117.33

Step-by-step explanation:

1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8

She paid 9/8 what she paid the last time.

Let the amount she paid last time equal x.

$132 is 9/8 of x.

9/8 x = 132

8/9 * 9/8 x = 132 * 8/9

x = 117.33

She paid $117.33

How do I figure this out?

Answers

I think it is permutation because I asked Siri what it meant and she said...

Find the GCF of 6x+4 and divide

Answers

The GCF is 2
Merry Christmas

Drag the missing statements and reasons to the correct spot to complete the proof

Answers

Answer:

The two column proof can be presented as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]      [tex]{}[/tex]               Given

2. [tex]\overline{AD}[/tex] ≅ [tex]\overline{CB}[/tex]      [tex]{}[/tex]              Given

3. [tex]\overline{BD}[/tex] ≅

4. ΔABD ≅ ΔBCD      [tex]{}[/tex]     SSS

Step-by-step explanation:

Given that we have;

Segment [tex]\overline{AB}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CD}[/tex] of triangle ΔBCD and segment [tex]\overline{AD}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CB}[/tex] of triangle ΔBCD, and that the common segment [tex]\overline{BD}[/tex] of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?

choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble

Answers

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:



Use a scale factor to find the missing side.

A)10
B)12
C)15
D)16

ᴄᴀɴ sᴏᴍᴇᴏɴᴇ ᴘʟᴇᴀsᴇ ʜᴇʟᴘ ᴍᴇ.

Answers

Answer:

15

Step-by-step explanation:

If we accept that the left side of the left triangle corresponds to the left side of the right triangle, then the scale factor is 6/8 = 3/4. By multiplying the scale factor by the bottom side of the first triangle, you'll get the corresponding side of the right triangle: 20 * 3/4 = 15.

Answer:

15

Step-by-step explanation:

I’m a little confused can someone help??

Answers

Answer:

C!

Step-by-step explanation:

83+30=113

isac walks 6/10 of a mile in 1/5 of an hour if his rate remains constant what is isac walking rate in miles per hour

Answers

Answer:amazing

Step-by-step explanation:

ill give you brainliest for the correct answer

Answers

Answer:

An equation is 2.50x + 30 = 45

You purchased 6 movies

PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

x squared plus y squared minus 16 x plus 12 y equals 21

Answers

Answer

he diameter of the circle is 22 units.

x² + y² - 16x + 12y = 21    

If this answer is correct, please make me Brainliest!

HAVE AN AMAZING DAY GOODLUCK

-Ary

Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8

Answers

Answer:

B. 6 7/10

Step-by-step explanation:

We solve the above y by carrying out addition.

The quarts of Lemonade she made is calculated as:

1 2/5 quarts of syrup + 5 3/10 quarts of water

= 1 + 5 + (2/5 + 3/10)

Lowest common denominator = 10

= 6 ( 4 + 3/10)

= 6 7/10 quarts of Lemonade

Mrs Olive made 6 7/10 quarts of Lemonade

11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.


I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.

Answers

Answer: 89 miles


Explanation: We can make a linear equation given the problem, where 2.75 is the constant and 0.25 is the slope. M can represent miles 28.5 is what we want the equation to equal, so it will be on one side of the equation.

We can simply add the $3.50 tip to the constant to account for it

Thus we have 28.50=0.25m+6.25.

Solving for m gives us 89 miles.



Help this confusing no matter how any times I do it

Answers

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

I need Help please #22

Answers

Answer:

A: 7.5

Step-by-step explanation:

If the length is 5 inches longer than the width, we must multiply the width by 4 and add ten to figure out the perimeter. 7.5 x 4 = 30. 30 + 10 = 40.

Answer:

8

Step-by-step explanation:

40/5=8 plz trust me i need it!!!

Which value is included in the situation set for the inequality graphed on the number line?

Answers

Answer:

-5 is the only one. -2 would be if the circle on the line was solid, but it's an open circle so the number it's on isn't included.

I'm On that test ATM and was wondering if you could give me the aswners to numbers 7 8 9

But the awnser to that question is -5

f(x) =∛2x g(x)=2x+1 Find (f/g) (x) Include any restrictions on the domain

Answers

Answer: ∛2x / 2x+1

x cannot equal -1/2

Step-by-step explanation: f/g means we divide the f function by the g function

so that’s all we do!

then, remember, we can’t divide by 0. so 2x+1 can’t be 0. if we solve that out, we get that x can’t be -1/2, because that would make it 0. there’s our domain restriction!

SOLVE THIS PROOF PLEASE

Answers

Answer:

wait what are you trying to find i-

Step-by-step explanation:

Algebra Question that I need help in since I’m taking a test

Answers

Answer:

D, the Addition Property of Equality

Step-by-step explanation:

This is the Addition Property of Equality. The Addition Property of Equality is, "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal." In this case, the person added 5 to both sides. The expression is still equal to what is was before. I hope this helps!

Answer:

The answer is D

Step-by-step explanation:

PLEASE HELP WILL NAME BRAINLEST
determine which lines, if any, must be parallel. Explain your reasoning

Answers

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

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