Explain the steps necessary to convert a quadratic function in standard form to vertex form.
plz I need help!!!!!!!!!

Answers

Answer 1

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. I had this question and got it right. Have a great day

Step-by-step explanation:

Answer 2



Answer :

Vertex form

a { ( x + b/2a )^2 - ( b/2a)^2 } + c


We are given than a quadratic function in standard form

ax^2 + bx + c


We have to explain steps which is necessary for converting quadratic x function in standard form to vertex form
We are explaining steps for converting a quadratic function into vertex form with the help of example

Suppose we have a quadratic function

2x^2 + x - 1

Taking 2 common from the given function the we get

2( x^2 + x/2 ) - 1

Now, we convert the equation of the form

2{ (x)^2 + 2 x x x1/4 + 1/16 - 1/16 } - 1
2{ ( x + 1/4)^2 - 1/16 } - 1
2{ ( x + 1/4 )^2 - (1/4)^2 } - 1

Vertex form = 2{ ( x + 1/4 )^2 - (1/4)^2 } - 1

Hence , the vertex form =

a { ( x + b/2a )^2 - ( b/2a )^2 } + c

Related Questions

A French submarine is at a depth of -200 meters, and a Russian submarine is at
a depth of -205 meters, which submarine is deeper?

A. French submarine

B. Russian submarine​

Answers

It would be the Russian submarine.

The Russian submarine is deeper since -205 meters is a greater depth than -200 meters when comparing negative values.

To compare the depths of the two submarines, we need to consider the numerical value of their depths. When we look at depths, the larger the negative number, the deeper the location. In this case, a depth of -200 meters means the French submarine is closer to the surface than a depth of -205 meters.

Therefore, the Russian submarine is deeper because -205 is lower than -200 when considering depths below sea level.

A music fraternity is giving instrument lessons as part of a
fundraiser to help repair old instruments for local middle schools
and high schools. Each student pays $8 per lesson. If the fraternity
gives 21 lessons per week, about how much will they be able to
donate to the schools after 18 weeks?
more than $3300
less than $2300
$2800 to $3300
$2300 to $2800

Answers

Use photo math it works great

Answer:

2800 to 3300 i believe

The square below represents one whole.
What percent is represented by the shaded area?
%.

Answers

Answer: 43%

Step-by-step explanation:

The graph is out of 100 squares. 10 horizontally. Count 4 down thats 40 and the 5th line is 3.

Answer

43%

Step-by-step explanation:

if the area is 100 and the shaded part is 43 then it is 43%

plus i just did this lesson

lol

complete the table of values for x+y=6

Please could you write it down as a table ,

Answers

The complete table of values for the equation x + y = 6

x   4   8  12

y  2   -2  4

Completing the table of values for the equation

From the question, we have the following parameters that can be used in our computation:

x + y = 6

This can be expressed as

y = 6 - x

The missing y values are at x = 4, 8 and x = 12

Substitute the known values in the above equation, so, we have the following representation

y = 6 - 4 = 2

y = 6 - 8 = -2

y = 6 - 12 = -4

So, the missing values are 2, -2 and 4

Question

Complete the table of values for x+y=6

x   4   8  12

y

Please help!
A fun-size" package of Bottle Caps contains three candies, and the five possible flavors are Cherry, Grape,
Orange, Root Beer, and Cola. All flavors occur with equal probability. You open a single package.

A. What is the probability that all three candies are Grape?

B. What is the probability that at least one candy is Cherry?

Answers

Step-by-step explanation:

Total candies = 3

Flavours = 5

P of grape candies = 3/5

P of cherry candy = 1/5

A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?

Answers

Answer:

The answer is 2

Step-by-step explanation:

This is because 3 times 16 is 48, so add 2 more multiple choice questions and it equals 50. Hope this helps :p

Answer:

5 multiple choice questions

Step-by-step explanation:

Set 1 point questions to "x" and 3 point questions to "y".

You can form the equations:

x + y = 20

1x + 3y = 50

Using substitution, you can rewrite the first equation to: "x = 20 - y" and plug it into the bottom equation.

1(20-y) + 3y = 50, then open parenthesis and combine like terms

2y = 30, then divide both sides by 2

y = 15, there 20 total questions, and 15 short answer questions, so there are 5 multiple choice questions

3*15+1*5 = 45 + 5 = 50

Which fraction is equivalent to 0? Use the number line to help answer the question.

Zero-sixths
Three-sixths
Four-sixths
Six-sixths

Answers

Zero-sixths. Hope this helps!
Zero-sixths. There is zero out of the six peace’s therefore. Zero-sixths is equal to zero

Véronique set a school record for most points in a single basketball game when her team scored 48 points. The six other players on her team averaged 3.5 points each. How many points did Véronique score to set her school record?
Will give brainliest to the best explanation!

Answers

Answer:

27

Step-by-step explanation:

3.5x6= 21

you would do 3.5x6 because they scored 3.5 each so then all together its 21 and 48-21=27 so Veronique scored 27 points

Ramesh examined the pattern in the table. Ramesh says that based on the pattern 7 to the power of -5 equals -16,807 . Which statement explains where the Ramesh is correct?
(I will mark brainliest)

Answers

D) Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1/7/7/7/7/7 = 1/16,807.

I just took the quiz on edge

Find the slope given the points (-1,-9) and (5,-6)

Answers

Final answer:

The slope between the points (-1, -9) and (5, -6) is found using the slope formula which results in a slope of 0.5.

Explanation:

The subject of your question falls under Mathematics, specifically within Algebra. To find the slope between two points, we will use the formula for the slope which is change in y divided by the change in x, or (y2 - y1) / (x2 - x1).

In your case, the given points are (-1,-9) and (5,-6) where (-1,-9) is (x1,y1), and (5,-6) is (x2,y2). Therefore, applying the slope formula, we get the slope as: (-6 - (-9)) / (5 - (-1)) which equals to 3/6. It simplifies down to 0.5.

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The slope of the line passing through the points (-1,-9) and (5,-6) is calculated using the slope formula, resulting in a slope of 1/2.

To find the slope of a line that passes through two points,
(-1,-9) and (5,-6), we use the slope formula which is given by the difference
in the y-coordinates divided by the difference in the x-coordinates. The formula is:

Slope (m) = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula:

Slope (m) = (-6 - (-9)) / (5 - (-1))

Slope (m) = (3) / (6)

When simplified, this gives:

Slope (m) = 1/2

So, the slope of the line that passes through the points (-1,-9) and (5,-6) is 1/2.

Find the perimeter of the parallelogram (khan academy) (15 points)

Answers

The perimeter of the parallelogram is 18 units.

We have,

From the graph,

There are two pairs of parallel sides.

Now,

One pair of parallel sides = 4 units each

Another pair of sides = x units each

And,

Applying Pythagorean theorem in ΔABC.

x² = 4² + 3²

x² = 16 + 9

x² = 25

x = 5

Now,

The perimeter of the parallelogram.

= x + x + 4 + 4

= 5 + 5 + 4 + 4

= 18 units.

Thus,

The perimeter of the parallelogram is 18 units.

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Question 6 of 42
1 Point
Which of the following values of x makes the rational expression below
undefined?
X +9
O A. O
O B. 9
O C. 3
O D.-9

Answers

Option B is correct luv

The value of the rational expression which is undefined is x = -9

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists  mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

The rational expression is undefined when the denominator is equal to zero. So, we need to solve the equation:

x + 9 = 0

Subtracting 9 from both sides, we get

x = -9

Therefore, the value of x that makes the rational expression undefined when x = -9, because it would make the denominator equal to zero.

Hence , the expression is x = -9

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Each letter of the word PROBABILITY is written on an individual card, each of which

is the same size, and all are put in a bag. A card is drawn without looking. Find

P(Letter A or Letter B)

Inclusive Event

Independent Event

O Dependent Event

Mutually Exclusive Event

Answers

Answer:

P(Letter A or Letter B)

Can someone please help me with these?

Answers

Answer:

  Ⓒ  {1, 2, 3, 6, 9, 13, 14}

Step-by-step explanation:

One way to find the union of two sets is to list all the elements of both sets in order, then delete any duplicates.

Here, joining the two sets gives ...

  {1, 6, 2, 3, 14, 2, 9, 13, 1}

Putting these elements into numerical order, we have ...

  {1, 1, 2, 2, 3, 6, 9, 13, 14}

I have highlighted the duplicates. Deleting those gives us the desired union of the two sets:

  X ∪ Y = {1, 2, 3, 6, 9, 13, 14} . . . . . matches choice C

What is 5 to the power of 2 times 5 to the power of 3? *

5 to the power of 5

56

0

Answers

Answer:

5 to the power of 5

Step-by-step explanation:

5 to the second is 25 and 5 to the third is 225 so those multiplied is 5625

Choose the factored form of the quadratic expression.
6x^2+ 33x-18
(6x-3)(x+6)
(9x+1)(x-2)
(9x-1)(x+2)
(6x+3)(x-4)

Answers

The answer is A. (6x-3)(x+6)

hope this helps !
A is the correct answer.

Using the order of operations, what should be done first to evaluate (negative 4) squared + 6 divided by (negative 3 + 4) (2) minus 5? Subtract 5 from 2. Divide 6 by –3. Add –3 and 4. Multiply 4 and 2.

Answers

Answer:

C

Step-by-step explanation:

Add -3 and 4

Answer:

C

Step-by-step explanation:

(2y-1)(4y-3)
A.-2y+3
B.8y^2-10y-3
C.8y^2-10y+3
D.8y^2-2y+3

Answers

Answer:Simplifying

(2y + -1)(4y + -3) = 0

Reorder the terms:

(-1 + 2y)(4y + -3) = 0

Reorder the terms:

(-1 + 2y)(-3 + 4y) = 0

Multiply (-1 + 2y) * (-3 + 4y)

(-1(-3 + 4y) + 2y * (-3 + 4y)) = 0

((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0

((3 + -4y) + 2y * (-3 + 4y)) = 0

(3 + -4y + (-3 * 2y + 4y * 2y)) = 0

(3 + -4y + (-6y + 8y2)) = 0

Combine like terms: -4y + -6y = -10y

(3 + -10y + 8y2) = 0

Solving

3 + -10y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.

(1 + -2y)(3 + -4y) = 0

Subproblem 1

Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying

1 + -2y = 0

Solving

1 + -2y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -2y = 0 + -1

-2y = 0 + -1

Combine like terms: 0 + -1 = -1

-2y = -1

Divide each side by '-2'.

y = 0.5

Simplifying

y = 0.5

Subproblem 2

Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying

3 + -4y = 0

Solving

3 + -4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -4y = 0 + -3

-4y = 0 + -3

Combine like terms: 0 + -3 = -3

-4y = -3

Divide each side by '-4'.

y = 0.75

Simplifying

y = 0.75

Solution

y = {0.5, 0.75}

Step-by-step explanation:

Answer:

C. 8y² - 10y + 3

Step-by-step explaination:

[tex](2y-1)(4y-3)[/tex]

[tex]2y(4y - 3) - 1(4y - 3)[/tex]

[tex]8 {y}^{2} - 6y - 4y + 3[/tex]

[tex]8 {y}^{2} - 10y + 3[/tex]

15 BRAINLY
What is the slope, m, and y-intercept for the line that is plotted on the grid below?
On a coordinate plane, a line goes through points (0, 4) and (negative 2, 0).


Answers

Answer:

y=-2x+4

Step-by-step explanation:

we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):

y=mx+4

then, you use the formula for slope:

Δy/Δx

(4-0)/(0-2)

4/-2

-2

you substitute the slope into the equation and the answer:

y=-2x+4

Hope this helps :)

P.S: m is the variable for the slope


There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection
two coins are to be selected at random from the collection. Find each
10. P(selecting 2 pennies), if no replacement occurs
11. P(selecting 2 pennies), if replacement occurs
12. P(selecting the same coin twice), if no replacement occurs

Answers

Answer:

10. 4.8%

11. 5.67%

12. 30.39%

Step-by-step explanation:

The total number of coins is 5 + 7 + 9 = 21 coins

The probability of selecting two pennies without replacemente is:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 4 possibility over 20 coins: 4/20

P(selecting 2 pennies) = (5/21) * (4/20) = 1/21 = 0.048 = 4.8%

With replacement, we have:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 5 possibilities over 21 coins: 5/21

P(selecting 2 pennies) = (2/21) * (2/21) = 25/441 = 0.0567 = 5.67%

The cases for selecting the same coin are:

First penny: 5 possibilities over 21 coins: 5/21

Second penny: 4 possibilities over 20 coins: 4/20

P(selecting 2 pennies) = (5/21) * (4/20) = 20/420

First nickel: 7 possibilities over 21 coins: 7/21

Second nickel: 6 possibilities over 20 coins: 6/21

P(selecting 2 nickels) = (7/21) * (6/21) = 42/441

First dime: 9 possibilities over 21 coins: 9/21

Second dime: 8 possibilities over 20 coins: 8/21

P(selecting 2 dimes) = (9/21) * (8/21) = 72/441

P(selecting the same coin twice) = P(selecting 2 pennies) + P(selecting 2 nickels) + P(selecting 2 dimes) = (20+42+72)/441 = 0.3039 = 30.39%

Final answer:

The probabilities for picking 2 pennies either with or without replacement from a total of 21 coins is calculated. With no replacement, the chance is approximately 4.76%, while with replacement, it is approximately 5.67%. It's impossible to choose the same coin twice without replacement.

Explanation:

The total number of coins is 5 pennies + 7 nickels + 9 dimes = 21 coins. We are asked to calculate the probability of selecting 2 specific coins from these total coins.

10. P(selecting 2 pennies), if no replacement occurs:
Since no replacement is occurring, we first select one penny out of 5, then another penny out of the remaining 4. That constitutes 5/21 * 4/20 = 0.0476, or 4.76% probability of selecting two pennies without replacement.

11. P(selecting 2 pennies), if replacement occurs:
Since replacement is possible in this scenario, even after choosing a penny, we still have 5 pennies left. Hence, the probability of selecting a penny twice is (5/21) * (5/21) = 0.0567, or approximately 5.67%.

12. P(selecting the same coin twice), if no replacement occurs:
If no replacement occurs, it's impossible to choose the exact same coin twice because once a coin is chosen, it is removed from consideration. Therefore, the probability here is 0.

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Solve:
|x +4| +8 > 2

Answers

Answer:

all real numbers

Step-by-step explanation:

|x +4| +8 > 2

Subtract 8 from each side

|x +4| +8-8 > 2-8

|x +4| >-6

Absolute values must be greater than or equal to zero

This is always true so x can be any value

Select the correct answer.
What is a car loan?
© A.
a way to pay in advance for using a car for a given time period
B. a way to pay for a car that is dependent on the number of miles you drive
C
a way to borrow money from a bank or financial institution to pay for a car
Reset
Next

Answers

Answer:

The answer is C, take the quiz and you are bound to get it right.

Step-by-step explanation:

52% of 0.75 is what number?

Answers

Answer:

.39

Step-by-step explanation:

you have to change the percentage into a decimal, .52 then multiply that by .75

Answer:

It's 39

Step-by-step explanation:

pedro concluded:

"Its not possible to map circle A onto circle B using a sequence of rigid transformations, so the circles are not similar."

What error did pedro make in his conclusion?

A. One more transformation - a rotation - would map circle A onto circle B, so the circle are similar.
B. One more transformation - a dilation - would map circle A onto circle B. so the circles are similar.
C. There is no error. This is a correct conclusion.

Please help me​

Answers

Answer:

B. One more transformation - a dilation - would map circle A onto circle B. so the circles are similar.

Step-by-step explanation:

If you dilate the circle A by factor ½, it will become congruent to circle B

I didn’t mean to click that answer.

Answers

The answer is 5< 10x-3
5 - 2x < 8x - 3
5 < 8x - 3 + 2x
5 < 10x - 3

If 15 out of every 75 new salons are still open for business after 3 years, what percent of salons are NOT still in business after 3 years?

Answers

Answer:

80%

Step-by-step explanation:

If 15 salons are open, this means that 60 are closed. 60 out of the 75 salons is 80% if you divide 60 by 75.

Final answer:

To find the percentage of new salons not still in business after 3 years, subtract the number still open from the total, divide by the total number of salons, and multiply by 100. This calculation shows that 80% of the new salons have closed.

Explanation:

The question asks us to find what percent of new salons are not still in business after 3 years given that 15 out of every 75 are still open. First, we find the number of salons that closed. Since 15 salons are still open, the number that closed is 75 - 15, which equals 60 salons. To find the percentage of salons that closed, we divide the number of closed salons by the total number of new salons, and then multiply by 100.

So, the calculation to find the percentage that closed is:

(60 closed salons / 75 total salons) × 100 = 80%

Therefore, 80% of the new salons are not still in business after 3 years.

a 19.7%
b 24.6%
c 80.3%
d 15%

Answers

Answer:

. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Step-by-step explanation:

How much would $500 invested at 6% interest compounded monthly be
worth after 4 years? Round your answer to the nearest cent.
ACO) - P(1)

Answers

The answer is $4,320 because you would multiply 500 by 0.06 to get 30. Then since that monthly you would multiply that by 12. Then since it’s over 4 years the final answer is $4,320.

help me please and explain it to me on why, I dont understand how. thank you!!​

Answers

Answer:

A).

Step-by-step explanation:

The 72 is the initial height in feet of the object.

Initially the time = 0 seconds. If we plug zero into  the function we get:

h(0) -16(0)^2 + 110(0) + 72

= 0 + 0 + 72

= 72 feet.

36.1 is what percent of 95?

Answers

Answer:

38

Step-by-step explanation:

Answer:

38 %

Step-by-step explanation:

hope it helps

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