Put the following quadratic into vertex
form by completing the square: y =
- 3x - 1.
= 4x²

Put The Following Quadratic Into Vertexform By Completing The Square: Y =- 3x - 1.= 4x

Answers

Answer 1
To put the quadratic function y = 4x² - 3x - 1 into vertex form by completing the square, we can follow these steps:

Factor out the coefficient of x² from the first two terms:
y = 4(x² - (3/4)x) - 1
Complete the square by adding and subtracting the square of half of the coefficient of x, which is (3/8)² = 9/64:
y = 4(x² - (3/4)x + 9/64 - 9/64) - 1
Group the first three terms and factor the perfect square trinomial:
y = 4[(x - (3/8))² - 9/64] - 1
Simplify by distributing the 4 and combining like terms:
y = 4(x - (3/8))² - (1 + 9/16)
Rewrite the constant term as a fraction with a common denominator:
y = 4(x - (3/8))² - (16/16 + 9/16)
Combine the constant terms and simplify:
y = 4(x - (3/8))² - 25/16
Therefore, the vertex form of the quadratic function y = 4x² - 3x - 1 is y = 4(x - (3/8))² - 25/16, and the vertex is at the point (3/8, -25/16).

Related Questions

The expression of 4-(-8) is equivalent to:

Answers

When you subtract a negative, the signs cancel and become addition, vice versa.

4-(-8) = 4+8

Answer: 12

Step-by-step explanation:

4-(-8)

= 4+8

=12

if the measure of the edge is doubled to 8 centimeters on each edge, what is the volume of the cube

Answers



If the original side length was 4 then do 8/4

Do 8/4 cubed then multiply this times the area of the original cubed.

The answer is 512
512 is the anwser :))

The proportional relationship between cost and pints of blueberries is shown in the table.


Blueberries (in pints) 4 10
Cost (in dollars) 18.40 46

The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.6w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown.

graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 1.2

Which of the following statements is true about the graph shown?

The graph is incorrect and the line should go through the point (0.6, 1).
The x-axis and y-axis are labeled incorrectly.
The graph does not show a proportional relationship.
The equation c = 0.6w is correctly represented by the graph.

Answers

Answer:

The equation c = 0.6w is correctly represented by the graph.

What is 9x-3x square in distributive property?

Answers

distributive propertyab+ac=a(b+c) a is the greatest common factotrfind the gcf3x=3*x-9x^2=-1*3*3*x*xgcf=3x3x(1)+3x(-3x)=3x(1-3x)



HOPE THIS HELPS!

Please Help! Explain or will be deleted!
You spin the spinner once. What is the probability of landing on a red space?

Answers

Answer:

[tex]\frac{8}{10}[/tex], or 80% probability

Step-by-step explanation:

To determine probability, we need to know how many "options" there are. There are 2 white spaces, and 8 red spaces, so we have a total of 10 spaces.

Of those 10 spaces, 8 of them are red. As a fraction, this is [tex]\frac{8}{10}[/tex], because 8 parts of the total ten are red.

To change this into a percent, we divide and then multiply by 100%.

[tex]\frac{8}{10}[/tex]= .8*100%= 80%

If you don't have a calculator, remember that percepts are just a way to show a portion of 100. If we need to multiply 10 by 10 to get the total 100, we must also multiply the top of the fraction, which gives 80.

8 out of 10 times, will you land on a red space. Or you can just say 80% since 8x10 is 80.

pls help with this question!!!

Answers

Answer:  $2, 3, $.50

Step-by-step explanation:

They want to know how much it is for each item.

So for the first one in order to make 2 grapes to 1 you would divide by 2 and if you divided the $4 by 2 you get $2

1.   $2

2.  3   you will divide both numbers by 3

3.  $.5  you will divide both numbers by 6

Answer:

1. $2

2. 3

3. .50 cents

Step-by-step explanation:

For each question you easily just divide! :)

For example:

1. $4 for 2 pounds of grapes- divide 4 by 2 and you get 2!

2. Latasha reads 9 pages in 3 minutes - divide 9 by 3 - you get 3!

3. A package of 6 pencils costs $3 - divide 3 by 6 - you get .50 cents!

i hope this helps!! :)

What value of x satisfies the equation 5 (x−6)−2(x+3)=12?
x=?

Answers

Answer:

x=16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

[tex]\mathmr{5\left(x-6\right)-2\left(x+3\right)=12}[/tex]

Expand:-

[tex]\mathrm{3x-36=12}[/tex]

Add 36 to both sides:-

[tex]\mathrm{3x-36+36=12+36}[/tex]

Simplify:-

[tex]\mathrm{3x=48}[/tex]

Divide both sides by 3:-

[tex]\mathrm{\cfrac{3x}{3}=\cfrac{48}{3}}[/tex]

Simplify:-

[tex]\mathrm{x=16}[/tex]

_________________________

Hope this helps! :)

Mark is comparing prices of different brands before he goes shopping. Who has the best deal on ice cream​? ​ ​Brand Size & Price​ ​Turkey Hill ​ $4.50 for 30 ounces ​Breyers ​ $15.36 for 128 ounces ​Ben & Jerrys ​ $2.88 for 16 ounces

Answers

Based on the given information, we need to calculate the price per ounce for each brand to determine the best deal on ice cream.

Turkey Hill: Price per ounce = 4.50 ÷ 30 = 0.15 dollars/ounce

Breyers: Price per ounce = 15.36 ÷ 128 = 0.12 dollars/ounce

Ben & Jerrys: Price per ounce = 2.88 ÷ 16 = 0.18 dollars/ounce

Therefore, the best deal on ice cream is Breyers, with a price of $0.12 per ounce.

Answer:

Breyers has the best deal, at $0.12/ounce.

Step-by-step explanation:

Convert all to the ice cream prices by the ounces in which they're sold to see how much the price is per 1 ounce:

4.5/30 = 0.15

15.36/128 = 0.12

2.88/16 = 0.18

Therefore, for 1 ounce of:

Turkey Hill: $0.15

Breyers: $0.12

Ben & Jerrys: $0.18

pls if I helped, make this answer brainliest! ;)

Which statement
is true

Answers

The answer would be b
it’s d) ruby reads at a rate of 20 pages per day

Can anyone give me the answers pleaseee in a hurry!

Answers

Look at the image hopefully that helps

isaias vegetable garden is 15 feet long by 5 feet wide he plans to increase the width and length of his garden and put a fence around it he writes this expression for the total ammount of fencing (x+15)+(x+5)+(x+15)+(x+5) write an equivalent expression that uses fewer terms

Answers

x here is the added value in the width and length of his garden to increase the fencing.

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

✅tryingtogetverified✅

Brainly Community Contributor

Answer:

x here is the added value in the width and length of his garden to increase the fencing.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

Select the equation that correctly describes the following real-world situation.

15 pieces of candy are given to s students from a bag of candy containing 310 pieces. There are 10 pieces left over.

A (s x 15) ÷ 10 = 310
B (s + 15) = 310 ÷ 10
C (310 − 10) ÷ 15 = s
D 310 ÷ (s + 15) = 10

Answers

Answer: C

Step-by-step explanation:

The equation that is correct is this one ⇒ (310 − 10) ÷ 15 = s

We know that there are 10 pieces left over, so we can subtract that from our total amount. (310-10)

Then, we know that the rest of the candy was given to s students, hence (310 − 10) ÷ 15 = s.

BONUS -To solve the equation:

(310 − 10) ÷ 15 = s

300 ÷ 15 = s

s=20

Good luck on your homework!

Answer is C because (310-10)= 300 then 300/15 will get you s.

???????????????????????????????????????

Answers

Answer:

i think its auto loan credit card debt and home mortgage

Step-by-step explanation:

Answer:

Auto Loan

Step-by-step explanation:

Laura earns $395 by working 20 hours each week. Laura is paid h dollars per hour. What id Laura's hourly rate of pay? B e sure to include an equation with the variable, h, in your work.
Show your work.



Answer $____________________per hour

Answers

Divide 395 to 20 your answer will be 19.75
19.75. $395 divide that by 20 and the answer is 19.75

12v = 48 + 4v
helpp p

Answers

Answer:

Therefore, the solution to the equation 12v = 48 + 4v is v = 6.

Step-by-step explanation:

To solve for v in the equation 12v = 48 + 4v, you can start by simplifying the equation by moving all the v terms to one side and all the constant terms to the other side:

12v - 4v = 48

Simplifying the left side of the equation gives:

8v = 48

To solve for v, you can divide both sides of the equation by 8:

v = 6

Therefore, the solution to the equation 12v = 48 + 4v is v = 6.

Answer:

Step-by-step explanation:

12v = 48 + 4v

Your first step is to subtract v from both sides:
8v = 48

Then, you divide each sides by 8 which gives you:

v = 6

That's your answer!
Hope this helped.

it is question number 13 i need help with. Please help quickly god bless.

Answers

I believe the answer is that there is not because there is a difference in the multiplication going in in the problem and all of it is different 1 to 3 but than it goes 3 to 6 and that is multiplied by 2 but the first one is multiples by 3

Please Help! Explain or will be deleted!
If the probability that Carson will win a basketball game is 4/9. If he plays 180 games, how many can you expect him to win?

Answers

180/9 is 20

20 times 4 is 80

There u go it’s 80
You use a proportion to answer this.
4/9 = x/180
So you multiply 180 times 4 and then divide by 4
Or you can scale the proportion and do 4 times 20 to find x

The measure of one interior angle in a triangle is 29°. What could be the measures of the other two interior angles? Select all that apply.
A. 72° and 79
B. 29° and 122°
C. 64° and 116°
D. 22° and 68°
E. 38° and 113°

URGENT PLS HELP

Answers

Answer: A, B, and E

Step-by-step explanation:

All the interior angles of a triangle add up to 180. So if one angle is 29, the other 2 have to add up to 151 (180-29).

A,B,E
I done this test as well

PLEASE HELP!! IF U ANSWER U ARE THE BRAINLIEST!!!

Use the formula below if the sphere has a volume of 64π

V=4/3πr^3

Answers

The first step would be to plug in the given volume and solve for the radius, r:

64π = 4/3πr^3

Divide both sides by (4/3)π:

64π / (4/3)π = r^3

Simplify:

48 = r^3

Take the cube root of both sides:

∛48 = r

Simplify:

r ≈ 3.63

Therefore, the radius of the sphere with a volume of 64π is approximately 3.63 units.

Answer:

the value of r will be r =3.63

What two numbers multiply to 120 and also add up to -23

Answers

-15 and -8 would satisfy both :)

Answer:

-15 and -8 would satisfy both

Step-by-step explanation:

Find the area of the figure !! Please help QUICK

Answers

Answer:

6,468

Step-by-step explanation:

7 x 7 x 11 x 4 x 3 = 6,468

Answer:

154mm²

Step-by-step explanation:

The first step is to break down all the shapes.

- 4 triangles and one parallelogram

Lets find area of the upper triangles first

Formula: 1/2(b)(h)

A = 1/2 (7)(11)

A = 38.5mm²

Since there's two of those, multiply by 2

38.5mm² x 2 = 77mm²

Now, we move to the area of the bottom triangles

Same formula: 1/2(b)(h)

A = 1/2(7)(3)

A = 10.5mm²

Again, we multiply by 2 since there are two of those

10.5mm² x 2 = 21mm²

Lastly, we find the area of the parallelogram

Formula: b x h

For the base, we double the length of the base of the triangles

7 x 2 = 14

A = 14 x 4

A = 56mm²

Now we add all of them up

77mm² + 21mm² + 56mm²

= 154mm²

Sorry if Im wrong

Look at the shapes in the example. Write the name of the shapes that belong in each group shown in the table below. parallel sides, only perpendicular sides only, parallel and perpendicular sides​

Answers

Step-by-step explanation:

1. A triangle has perpendicular sides only.

2. A rectangle has only parallel sides.

3. A parallelogram has only parallel sides.

4. A trapezoid has both parallel and perpendicular sides.

5. A right triangle has only perpendicular sides.

Mr. Bradshaw recorded the number of home runs each player hit during the season. What was the mean number of home runs hit during the season?

Answers

Answer:  In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 9. Altogether, they hit 27 home runs.

Step-by-step explanation:

Use the line plot below. How much longer was the longest speech than the shortest speech?


1. 1/4 minute
2. 2/4 minute
3. 1 1/4 minutes
4. 2 2/4 minutes

Answers

It’s is choice 3 because 1 1/4 minus 2 2/4
Is 1 1/4
You subtract how many “x”’s there are between the greatest fraction in the number line and the smallest fraction in the number line

Show each step with explanation.

Answers

Answer: H

Step-by-step explanation:

5packs each pack has 300. Each of those 300 weighs 9.9x[tex]10^{-3}[/tex]

so

5*300*9.9*[tex]10^{-3}[/tex]                I only multiplied the numbers

=14850*x[tex]10^{-3}[/tex]                  x[tex]10^{-3}[/tex] means to move the decimal of the number to the left 3 times. The number does not have a decimal so you start at end

=14.850

H

Answer: HStep-by-step explanation:5packs each pack has 300. Each of those 300 weighs 9.9x so5*300*9.9=14850*x=14.850PLEASE give brainliest

What is the simplified form of 3 x 10^-3 + 6 x 10^-2 / (7 x 10^4) (3 x 10^8) ?
Express the answer in scientific notation.

Answers

Answer:

To simplify the expression, we first need to perform the division before the addition.

6 x 10^-2 / (7 x 10^4) = 6/7 x 10^-2-4 = 0.000085714.... ≈ 8.57 x 10^-5

Now the expression becomes:

3 x 10^-3 + 8.57 x 10^-5

To add these two terms, we need to have them in the same power of 10. Therefore, we can rewrite 3 x 10^-3 as 0.003 x 10^-3.

0.003 x 10^-3 + 8.57 x 10^-5 = 0.0030857 x 10^-3

Now we can express the answer in scientific notation by moving the decimal point to the left until we have a number between 1 and 10, and taking note of how many places we moved the decimal point.

0.0030857 x 10^-3 = 3.0857 x 10^-6

Therefore, the simplified form of 3 x 10^-3 + 6 x 10^-2 / (7 x 10^4) (3 x 10^8) expressed in scientific notation is 3.0857 x 10^-6.

This means that the answer is a very small number, which makes sense given the small values of the original terms.

2x+7+3(x+2) apply the dp

Answers

The answer is 2x+7+3(x+2)
2x+7+3x+6
5x +7 + 6
5x + 13
Answer:5x+13Step-by-step explanation:2x+7+3(x+2)=2x+7+3x+6 ====> Expand with distributive prop.=2x+3x+7+6 ====> Group like terms=5x+7+6 ====> add similar elements (2x+3x=5x)=5x+13 ====> add the numbers (7+6=13) & solve for the answer

Please help this is getting really frustrating!! Also please explain if you can, tysm♡

Answers

Answer: 1/3

Step-by-step explanation:

(1,5) will be x1 (1) and y1 (5)

(4,6) wil be x2 (4) and y2(6)

knowing this, you plug in the numbers into the formula

6-5 = 1

4-1 = 3

m= 1/3

Answer: [tex]\frac{1}{3}[/tex]

Step-by-step explanation: It's actually pretty simple to find the slope. y2 is the second y point and y1 is the first y point (same goes for x). So in this case, y2 = 6, y1 = 5, x2 = 4, x1 = 1. So once you have that, you would do this: [tex]\frac{6-1}{4-1}[/tex] subtract both equations and you'd get: [tex]\frac{1}{3}[/tex]

Hope this helped you and use this for future reference!

I need an answer like now no joke for number 5 pls (repost)

Answers

Answer:

A - 1 unit tall

B - 2 units tall

C - 3 units tall

Step-by-step explanation:

Pretty simple. Just imagine folding them into a cube and when you fold them into a cube, think about how many units the height would be.

Hope this helped you!

1 unit
2 unit
3 unit

Help me, I have 3 mins!

Answers

Answer:

3.245

Step-by-step explanation:

You add all your values together and divide by the number of values there are.

Answer:3.245Step-by-step explanation:you add all the numbers together and divide that number by how many numbers there are total.
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