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

4/5 divided by 3/7 :))

Answers

Answer:

1.86666666667

Step-by-step explanation:

Answer:

1 13/15

Step-by-step explanation:

What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?

Answers

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.

Answers

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

lol, I can't explain well, but it's correct.

Meg is a veterinarian. She found that 25% of the 24 dogs she saw this week were boxers. Steve is also a veterinarian. He found that 8, or 50%, of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?​

Answers

Answer:

Percent

Step-by-step explanation:

lol I just got it right

Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?

Answers

Answer:

$475.17

Step-by-step explanation:

Step one:

given data

rate= 3.5% = 0.035

final amount A= $670

time= 10 years

Required

The principal invest P

Step two:

A= P(1+r)^t

substitute

[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]

divide by 1.41

[tex]P= 670/1.41\\\\P=475.17[/tex]

The invested principal is $475.17

Answer:

500

Step-by-step explanation:

its on delta math

HELPPP!!! ALGREBRA!!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A.)
Hope his helps

I need help ASAP with questions 3-7 plz show steps I will also mark brainliest

Answers

Answer:

.

Step-by-step explanation:

                            .

What is the value of this expression? 1.25 + 8.25 × 4 ÷ (4.75 + 0.75) Group of answer choices 6.91 7.25 8.75 8.95

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is 7.25

Step-by-step explanation:

Hope this helps :)

*
Simplify the expression:
(-6p+7). -4

Answers

Answer:

I'm assuming you need to distribute. When simplified the expression is 42p-28

Step-by-step explanation:

Answer:

24p-28

Step-by-step explanation:

seven less than the quotient of a number and five is two​

Answers

x/5 - 7 = 2
x/5 = 9
x = 45
The number is 45

The value of the number for the expression seven is less than the quotient of a number and five is two​ is 45.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a number is seven less than the quotient of a number and five is two​.

The value of the unknown number will be calculated as,

x/5 - 7 = 2

x/5 = 9

x = 45

To know more about an expression follow

https://brainly.com/question/2272420

#SPJ2

3-⁶x (3^4 ÷ 3⁰)²
simplify ​

Answers

Answer:

Step-by-step explanation:

– 634302

Find the slope: (7,4) (5, 6)

Answers

Answer:

Slope =  - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4)   & (x₂, y₂) = (5, 6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

16.7 percent decrease.

Step-by-step explanation:

Difference in value = 150,000 - 180,000

= -30,000

As a percent this  =  (-30,000 /  180,000)   * 100

= -0.1667 * 100

= -16.67

Answer:

15.5 repating or 18.4%

Step-by-step explanation:

SORRY

Rachel signed up for a frequent-flier program. She receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?

Answers

Answer: 13800 frequent-flier miles

Step-by-step explanation:

From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.

The number of frequent-flier miles she will she have after 5 round-trips will be:

= 4300 + 1900(5)

= 4300 + 9500

= 13800 frequent-flier miles

Solve the equation. Check your solution. a/4 - 5/6= -1/2

Answers

Answer:

a= 4/3

Step-by-step explanation:

1.) Simplify both sides of the given equation:

1/4a + -5/6 = -1/2

2.) Add the 5/6 to both sides (cancels the -5/6)

1/4a + -5/6 (+5/6) = -1/2 (+5/6)

1/4a = 1/3

3.) Multiply both sides by 4 (the denominator)

4 * 1/4a = 1/3 * 4

a = 4/3

To check the solution, plug in 4/3 into a:

4/3/4 - 5/6 = -1/2

2.) Dividing fractions is also multiplication:

(4/3 * 1/4) - 5/6 = -1/2

3.) Get the difference of 1/3 and 5/6

1/3 - 5/6 = -1/2

4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)

-3/6 = -1/2

5.) Check to see if both sides match

-1/2 = -1/2

Which quadrilateral has diagonals that are both congruent and perpendicular?

Answers

Answer:

Rhombu is the answer

Answeris rhombus

-5x+3y>9 help me plesese so i can grids

Answers

Answer:[tex]x<−95+3y5[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

how do i solve this problem?

Answers

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

pls i really need this 20 points I will give brainliest
A rectangle is shown on the coordinate grid.

On a coordinate plane, side d has points (negative 4, 3) and (0, 5), side a has points (0, 5) and (3, negative 1), side b has points (3, negative 1) and (negative 1, negative 3), and side c has points (negative 1, negative 3) and (negative 4, 3).

Which equation represents the side that is parallel to side d?
y = 2 x + 5
y = negative 2 x + 5
y = one-half x minus five-halves
y = negative one-half x minus seven-halves

Answers

Answer:

B

Step-by-step explanation:

I hope this helps!

Answer:

The correct answer is B!

Step-by-step explanation:

Slopes of Parallel and Perpendicular Lines Pre-Test Answers:

1: B                    8: B

2: A, C, G          9: 1

3: C                  10: B

4: A           Hope this helps!

5: B

6: C

7: B

Write an equation of the line containing the given point and parallel to the given line.
(6,-2); 4x - 3y = 8

Answers

Answer:

y = (4/3)x − 10

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.

y = mx + b

Subtract 4x from both sides of the equation.

−3y = 8 − 4x

Divide each term by −3 and simplify.

Divide each term in −3y = 8 − 4x by −3.

        (−3y/−3)= (8/−3) + (−4x/−3)

Cancel the common factor of −3.

         y= (8/−3) + (−4x/−3)

Simplify (8/−3) + (−4x/−3)

         y= (4x/3 - 8/3)

Reorder terms.

         y= 4x/3 - 8/3

Using the slope-intercept form, the slope is 4/3

         m = 4/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 4/3 and a given point (6, −2) to substitute for  [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

y − (−2) = (4/3) ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

y − (−2) = (4/3) ⋅ (x − (6))

solve for y

y = (4/3)x − 10

Someone help plz right answer gets to be brainliest

Answers

1) A
2)E
3)B
4)G

If you have any questions let me know:)

3x + 5x - 1 expression

Answers

Answer:

8x - 1

Step-by-step explanation:

Combine like terms. 3x and 5x are like terms.

3x + 5x -1 = 8x - 1

Please answer the following question below

Answers

Answer:

65°

Step-by-step explanation:

The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°

Solve for x in the parallelogram ​

Answers

See attachment for math work.

What is the value of the function f(x) = 7x when x = 0.75? *​

Answers

Answer:it is -1

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

As per the question, we have

f(x)=7x

at x=0.75

f(0.75)=&(0.75)

f(0.75) = 7 x 75/100 (this is a fraction)

f(0.75)= 525/100 (this is a fraction)

f(0.75)=5.25

Hence, the value of f(x)=7x at x=0.75 is 5.25

Which part is the y-intercept in this equation? y=3x+9

Answers

Answer:9+3x=12x

Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x

You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years

Answers

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?

Answers

44%

I hope this helped!!!

Answer:

ummmmmmmmm 44?

Step-by-step explanation:

Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?

Answers

Answer:4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30% of the employees the company has?

Answers

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of  employees = x

[tex]15 = 30 percent of x[/tex]

[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]

The company has a total of 50 employees

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