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

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4

Answers

Answer:

A) x = -3

the line is undefined

The equation of the graphed line written in slope-intercept form is x = -3

What is the Slope-Intercept form?

The graphed line in slope-intercept form, y = mx + b

To Convert it into the standard form of the equation, ax + by = c.

Consider that the points be (0, 3) and (5,0).

A Slope exists how many units it brought to go vertically or horizontally.

Which Slope doesn't exist.

The y-intercept in slope-intercept form, y = mx + b  

where, m = undefined

x = -3

Therefore, the correct answer is option (A), x = -3 because the line is undefined.

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someone please help me. show your work for brainliest.

find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0

Answers

Answer:

Attached file

Step-by-step explanation:

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

Answers

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

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help please ><
fill in the blank
In a graph, the initial value of a functions is the _____.

Answers

Answer:

Initial value of a graph is always the variable a.

Step-by-step explanation:

If you have any questions about that, let me know :)

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

If ∠1≅∠2, then ___...

a) ∠5≅∠6, angle 5 is congruent to angle 6

b) ∠3≅∠4, angle 3 is congruent to angle 4

c) XK≅YK

d )GK≅HK

e)All of the above are true

Answers

Answer: All of thé above

Step-by-step explanation:

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

Answers

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

what is 4km:370m in simplest form

Answers

Answer:

4.37 KM

Step-by-step explanation:

370 m to KM = 0.37 KM

then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.

Best regards

4/3 ÷ 7/8 = in khan academy

Answers

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

1. Solve each equation. a. 4x = -28 b. x - -6 = -2 C.-Y + 4 = -9 d. -3x + 7 = 1 e 25% -11 = -86​

Answers

Answer:

A,-7

B, 4

C,13

D,2

Step-by-step explanation:

A,Step 1: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 28}{4} [/tex]

[tex] x = - 7[/tex]

B,Step 1: Add 6 to both sides.

x−6+6=−2+6

x = 4

C, Step 1: Regroup terms.

4−Y=−9

Step 2: Subtract 44 from both sides.

-Y=-9-4−Y=−9−4

Step 3:Simplify -9-4−9−4 to -13−13.

[tex] \frac{ - y}{1} = \frac{ - 13}{ - 1} [/tex]

Y = 13

D,Subtract 77 from both sides.

-3x=1-7−3x=1−7

2, Simplify 1-71−7 to -6−6.

-3x=-6−3x=−6

3,Divide both sides by −3.

[tex] x = \frac{ - 6}{ - 3} [/tex]

4,Two negatives make a positive.

x = 6/3

x = 2.

I don't understand Question E!

I hope it helps you!

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

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2

Answers

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

a) Estimate the value of 50.75 x 0.18

Answers

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

blank ÷ 3/7= 7/15. ​

Answers

Answer:

1 4/45

Step-by-step explanation:

Billy is making a sign in the shape of a regular octagon. What is the measure of each interior angle of the sign?
O 45°
O 60°
O 120°
O 135°

Answers

Answer:

135°

Step-by-step explanation:

Interior angle= (n-2)/n ×180°

n= no. of sides

so,

putting the value of n which is 8

(8-6)/8 × 180

=135°

The measure of each interior angle of the sign is 135 degrees.

The correct option is D.

What is an interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

In a regular octagon, all the interior angles are equal.

The formula to find the measure of each interior angle of a regular polygon with n sides is:

measure of each interior angle = (n-2) x 180 / n

For an octagon, n = 8, so we can substitute this value into the formula and simplify:

measure of each interior angle = (8-2) x 180 / 8

measure of each interior angle = 6 x 180 / 8

the measure of each interior angle = 135 degrees

Therefore, the measure of each interior angle = 135 degrees.

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How many lines of symmetry are in this snowflake design?
5

Answers

BS UDJD9AYW VS DHS EG EE S WCWVW W S FHRD DJE EHVEBE EBE

A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311000 in sales from these tickets. Assume that all tickets have the same price. How much money will they make if they sell 7000 tickets?

Answers

435400 i think,as one ticket costs 62.2 in this case which means if we do 7000 multiplied by 62.2 ,we get435400

-28=-5x+7


Solve the two step equation

Answers

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Help plssssssssss!! Will give brainliest!! 1 and 2

Answers

Answer:

Step-by-step explanation:

5+4^2-6/3

use pemdas

Answer:hahaj

Step-by-step explanation:

Which fraction names the shaded part of the set?

Answers

It would be 4/12 which is equal to 1/3.

The answer is 1/3

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

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If you were to roll a die one time, what is the probability of it landing on an odd number

Answers

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Omg what kinds of questions are these do teachers really think we can tell if it’s gonna land on a odd number

P and Q are supplementary p=(5x+3) and Q=(x+3) what is the measure of Q?
a) 17 degrees
b)26 degrees
c)29 degrees
d)32 degrees

Answers

d (32 degrees) i hope this helps.

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

How to find the constant of y=3/5x

Answers

Combine 35 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 35 .

Answer:

3/5

Step-by-step explanation:

y=3/5x = 0                 x both sides by 5

5y-3x=0                     reorder terms (community property)

-3x+5y=0

3x-5y=0                                changes the signs when you do that

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+2

F(x) +3

I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz

Answers

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?

Answers

Answer:

4 i believe

Step-by-step explanation:

42/12 is 3.5 so i’m guessing that it’s 3.5 bags, i could be wrong

Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1

Answers

x>1 i’ve took this before

#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200

Answers

Answer:

#1 .   12.5%

#2.   18.75%

#3.   19%

Step-by-step explanation:

2  / 16  x 100% = 12.5%

15 / 80  x 100% = 18.75

38 /200  x 100%= 19%

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