Given y = (2x + 3)^2, choose the standard form of
the given quadratic equation.

Answers

Answer 1

Answer:

(2x+3)^2

=(2x+3)(2x+3)

=(2x)(2x)+(2x)(3)+(3)(2x)+(3)(3)

=4x^2+6x+6x+9

=4x^2+12x+9

Answer 2
Final answer:

The standard form of the given quadratic equation y = (2x + 3)^2 is y = 4x^2 + 12x + 9. This is achieved by applying the square of a binomial rule and simplifying.

Explanation:

The given equation is y = (2x + 3)^2. This is in the form of a squared binomial, which can be expanded and simplified into a standard form of a quadratic equation. The standard form of a quadratic equation is y=ax^2 + bx + c.

To convert the given equation into standard form, we need to apply the square of a binomial rule, which states that (A + B)^2 = A^2 + 2AB + B^2. Here, A = 2x and B = 3.

So, we can rewrite the equation as follows: y = (2x)^2 + 2*2x*3 + 3^2 = 4x^2 + 12x + 9. Therefore, the standard form of the given quadratic equation is y = 4x^2 + 12x + 9.

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Related Questions

Picture says it all. Please help!! Teacher checks soon

Answers

Answer:

[tex]68m^2[/tex]

Step-by-step explanation:

To find the surface area of the prism, we find the area of each similar faces and multiply by 2 and then add all together

Area of square faces

[tex]2(4\times 4)=16m^2[/tex]

Area of parallelogram faces

[tex]=2bh[/tex]

[tex]=2(2\times 4)=16m^2[/tex]

Area of the rectangular faces;

[tex]=2(4\times 2.5)=20m^2[/tex]

The total surface area of the prism is 20+16+32=68 square meters

I PROMISE BRAINLIST JUST 1 QUESTION VERY SIMPLE!!!! PLZZZ IT'S URGENT!!!!!

Answers

Answer:

B

Step-by-step explanation:

Find the median and the upper/lower quartiles

Rearrange the data in ascending order

33, 36, 37, 38, 41, 42, 46, 49, 50, 50, 51, 52, 53, 54

The median is the middle value of the data or if there is no exact value at the middle then it is the average of the 2 values either side of the middle

Here the median is between 46 and 49

median = [tex]\frac{46+49}{2}[/tex] = 47.5

The upper quartile is the middle value of the data to the right of the median

[tex]Q_{3}[/tex] = 51

The lower quartile is the middle value of the data to the left of the median

[tex]Q_{1}[/tex] = 38

The minimum value = 33

The maximum value = 54

The lower quartile is the left side of the box plot

The upper quartile is the right side of the box plot

The median is located inside the box plot

The corresponding box plot is B

B is the answer good luck man

A survey was taken among female and male voters and which candidates they voted for.
Below is the two-way table that summarizes the data.


Candidate A Candidate B
Female 32 43
Male 36 39

Of the male voters, approximately what proportion voted for Candidate A?

Answers

Answer: its 48% i took the test

Step-by-step explanation:

Answer:

the actual answer is 43%

Step-by-step explanation:

A. 12
B. 6
C. -6
D. -12

Answers

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 2, 4 ]

f(b) = f(4) = 16 ← from graph

f(a) = f(2) = 4 ← from graph

average rate of change = [tex]\frac{16-4}{4-2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

45,60,75,75,80,80,85,90,90,90,90,95,95,95,100
Can someone find the MAD

Answers

Answer:

11.066666666667 or simplified 12

Step-by-step explanation:

Answer:  11.0667

Step-by-step explanation:

= Mean just incase you need is :

83

And population size just incase you need as well is :

15

* Hopefully this helps:) Mark me the brainliest:)!!

~234483279c20~

Which could be the function?
A. F(x)=(x+4)^2
B. F(x)= x^2 +4
C. F(x)=(x-4)^2
D. F(x)= x^2-4

Answers

Answer:

C. F(x) = (x - 4)^2

Step-by-step explanation:

f(x) = (x - h)^2 is a parabola that opens up and has the line x = h as the vertical axis.

Here, the vertical axis is x = 4, so h must be 4.

The answer is: C. F(x) = (x - 4)^2

Answer: C. F(x) = (x - 4)^2

Step-by-step explanation: i did on edge

Brianna asks classmates how many pencils and erasers they carry in their bags. The mean number of pencils is 11. The mean number of erasers is 4. The MAD of both data sets is 2. What inference could Brianna make using this data?

Answers

The solution is, Mean Absolute Deviation = 2.2222

What is  mean absolute deviation?

The next three procedures are necessary to calculate the mean absolute deviation.

By adding up all the observations and dividing by the sample size, you can determine the sample average.

Discover the total deviation from the mean of each data point. When negative signals appear, ignore them and instead deduct the observed values from the mean.

Determine the absolute deviations' average. Divide the total of the values from step #2 by the sample size.

here, we have,

Input Data:

Data set = 1, 2, 3, 4, 5, 6, 7, 8, 9

Total number of elements = 9

Objective:

Find what is mean absolute for given input data?

Solution:

X mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/9

= 45/9

X mean = 5

MAD = (1 - 5) + (2 - 5) + (3 - 5) + (4 - 5) + (5 - 5) + (6 - 5) + (7 - 5) + (8 - 5) + (9 - 5)9 = (4) + (3) + (2) + (1) + (0) + (1) + (2) + (3) + (4)9

=209

Mean Absolute Deviation = 2.2222

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A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?​

Answers

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

[tex]\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}[/tex]

[tex]\text {Radius = }\sqrt{6^2 + 8^2}[/tex]

[tex]\text {Radius = }\sqrt{100}[/tex]

[tex]\text {Radius = }10[/tex]

Area = π (10)² = 100π = 314 units²

Final answer:

The area of the circle is found by first calculating the radius using the distance formula, which is determined to be 10 units. Then, the area formula πr² is used to find that the area of the circle is 100π square units.

Explanation:

To find the area of the circle centered at the origin containing the point (-6, -8), we first need to determine the radius of the circle. The radius can be found using the distance formula for a point from the origin, which is √((-6)²+ (-8)²). After calculating the radius, we use the formula for the area of a circle, which is πr^2, to find the circle's area.

The distance from the origin to the point (-6, -8) is the radius (r) of the circle: r = √((-6)² + (-8)²) = √(36 + 64) = √100 = 10.

Now that we have the radius, we can calculate the area (A): A = πr² = π(10)² = 100π square units.

Find the side length of a square which has an area of 81 sq in. and a perimeter of
36 in.

Answers

Answer:

Area of 81 sq in: 40.2

Perimeter of 36 in : 9

Step-by-step explanation:

Hope I'm right! :)

Answer:

9 inches

Step-by-step explanation:

A square has an area of 81 in^2

A = s^2

81 = s^2

Take the square root of each side

sqrt(81) = sqrt(s^2)

9 = s

The side length is 9 inches

A square has a perimeter of 36 in

P = 4s

36 = 4s

Divide each side by 4

36/4 = 4s/4

9 = s

Each side is 9 inches

What is the length of this line? 30 POINTS!!

Answers

Answer:

61

Step-by-step explanation:

The first thing that you want to do is distance formula

[tex]d=(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2}[/tex]

I'm going to make the start of the line at (1,1) and that means that the end of the line is at (7,6). Now, you plug these numbers into the formula.

[tex]d=(7-1 )^{2} + (6-1 )^{2}[/tex]

Then you slove

[tex]d=(6 )^{2} + (5 )^{2[/tex]

[tex]d=36 + 25[/tex]

[tex]d=61[/tex]

Distance formula: d =√(x2-x1^2 +y2-y1^2)

Find the points of the line: (2,2) and (8, 7)

Length = √((8-2)^2 + (7-2)^2)

Length = √(6^2 + 5^2)

Length = √(36+25)

Length = √61 ( exact answer) or as a decimal: 7.81

A plane which passes through three edges of a cube produces a triangular cross section as shown.


In two or more complete sentences, explain how the plane should pass through the cube in order to produce a cross section that is a regular hexagon.

Answers

Answer:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Step-by-step explanation:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Please see the image attached for better visualization.

Final answer:

To produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices and form an equilateral triangle with the three edges it intersects.

Explanation:

In order to produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices. The three edges that the plane passes through should form an equilateral triangle on the face of the cube. This is because a regular hexagon can be formed by placing equilateral triangles side by side.

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2x-9 x=3 ..............................

Answers

Answer:

3

Step-by-step explanation:

g

Answer:

(-3)

Step-by-step explanation:

2x - 9

If x = 3

Then,

2·(3) - 9 = 6 - 9 = (-3)

What is the slope of the line that passes through the points (6,4) and (3,8)

Answers

Answer:

-1⅓

Step-by-step explanation:

According to the Rate of Change [Slope] Formula, m = -y + y\-x + x, you plug in each coordinate into the correct places and you will arrive at the above answer.

Fill in the blank to make this statement true:

the difference of nineteen and four _____ five multiplied by three

Question 11 options:

a is greater than


b is equal to


c is less than

Answers

Answer:

b. equal to

Step-by-step explanation:

difference means subtract

19 - 4 = 15

5 * 3 = 15

and 15 is the answer for both so that means the blank is equal to (b)

Answer:

b

Step-by-step explanation:

The difference of 19 and 4 is 15.

5 multiplied by 3 is 15.

So the two are equal.

PLEASE HELP YOU WILL GIVE YOU POINTS!!!

Answers

Answer:

The Answer is the 2nd Table from the top

Step-by-step explanation:

Total of 30 men, 20 watched 10 didn't

Total of 80 participants, 45 Watched, 35 Didn't

The Female participants had to add up to fill in the bottom rows.

The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?

Answers

Answer:

[tex]15.42mi[/tex]

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

[tex]P=\frac{1}{2}\pi *d+d[/tex]

Plug in 6 for d.

[tex]P=\frac{1}{2}\pi*6+6[/tex]

Let's use 3.14 for [tex]\pi[/tex], just to make it easier, but of course, if it states to round it to something else, just plug in that many values for [tex]\pi[/tex].

[tex]P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42[/tex]

Answer:

Step-by-step explanation:

The perimeter = pi * d + d

d = 6 miles

The perimeter = pi*6 + 6       This is one possible answer

perimeter = 6*3.14 + 6

perimeter = 18.84 + 6

perimeter = 24.84                  Which is another possibility

If you have choices, please list them.

A rectangular prism with a volume of 5 cubic units is filled with cubes with side length of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
Hurry and answer!

Answers

Answer:

(1/3)³c = 5

(1/27)c = 5

c = 5 × 27 = 135 cubes

The Main Answer is 135. It takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.

To find out how many [tex]1/3[/tex] unit cubes it takes to fill the rectangular prism with a volume of [tex]5[/tex] cubic units, we need to divide the volume of the prism by the volume of each individual cube.

The volume of the rectangular prism is given as [tex]5[/tex] cubic units. Since the prism is a rectangular shape, we can calculate its volume using the formula:

[tex]Volume of prism=length*width*height[/tex]

Given that the side length of each cube is [tex]1/3[/tex] unit, the volume of each cube is:

[tex]Volume of cube=(side length)^{3} =(1/3)^{3}=1/27 cubic[/tex]

Now, to find out how many cubes are needed to fill the prism, we divide the volume of the prism by the volume of each cube:

[tex]Number of cubes=Volume of prism/Volume of cube \\Number of cubes=5/(1/27)\\Number of cubes=5*27\\Number of cubes=135[/tex]

So, it takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.

COMPLETE QUESTION:

A rectangular prism with a volume of [tex]5[/tex] cubic units is filled with cubes with side length of [tex]1/3[/tex] unit. How many [tex]1/3[/tex] unit cubes does it take to fill the prism?

Question- In triangle QRS, angle R is 20 degrees more than angle Q and angle S is 70 degrees more than angle Q.Find angle R.

Answers

Answer:

R = 50

Step-by-step explanation:

The sum of the angles of a triangle equal 180 degrees

S + R + Q = 180

x+70 + x+ 20 + x = 180

Combine like terms

3x +90 =180

Subtract 90 from each side

3x+90-90 = 180-90

3x= 90

Divide by 3

3x/3= 90/3

x = 30

We want to find angle R

R = x+20

R = 30+20

R = 50

the scale on the map shows that 1.5 cm represents 100 miles. If the distance on the map from Chicago to San Diego is 39.2 cm, approximately how many miles apart are the two cities?

A) 225.3 miles

B) 2613.3 miles

C) 25.5 miles

D) 261.3 miles

Answers

Solution :-

Given : The scale on the map shows that 1.5 cm represents 100 miles.

By unitary method,

1.5 cm = 100 miles

1 cm = 100/1.5 miles

39.2 cm = (100 × 39.2)/1.5 = 2613.33 miles (approx.)

Hence,

B) 2613.3 miles is the required answer.

Answer:

c

Step-by-step explanation:

did  da work

the quadratic function h(t) = -16.1t squared +150

Answers

Answer:

Full question in attached picture.

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the second attached image below, to find more information about the graph .

The equation is:

h(t) = -16.1*t^2 + 150

Looking at the graph, we can tell that the ball was dropped from

150 feet

And it hits the ground after

3.052 s

Answer:

yeah

Step-by-step explanation:

what she or he siad

Find the perimeter of each rectangle 124ft length 96ft. Width

Answers

Answer:

440

Step-by-step explanation:

124+124+96+96=440

Write the expression: 4 divided by the sum of x and 7. A) 4 + 7 x B) x 4 + 7 C) x + 7 4 D) 4 x + 7

Answers

Answer:

  4

-------

x + 7

Step-by-step explanation:

sum of x and 7 = (x + 7)

So 4 divided by the sum of x and 7 = 4 / (x + 7)

Answer

  4

-------

x + 7

Final answer:

The correct way to write the expression '4 divided by the sum of x and 7' is 4 / (x + 7), which is not represented in any of the given options.

Explanation:

The expression 4 divided by the sum of x and 7 is written mathematically as 4 / (x + 7). None of the provided options A) 4 + 7 x, B) x 4 + 7, C) x + 7 4, or D) 4 x + 7 correctly represent this expression. The correct notation for division by a sum involves placing the sum in the denominator inside parentheses to ensure the correct order of operations is followed.

A box can hold 19 books.
Workout how many boxes will be needed to hold 464 books

Answers

Steps needed: 1. 464 / 19 = 24.4210526. 2. 19 books per 1 box

Answer: 25 boxes because then every book is in a box.

25 boxes is the answer

The coach has 3 positions to fill on his basketball team. There are 9 students interested in being on the team. How many combinations of the three positions can he choose?

Answers

Answer:

84

Step-by-step explanation:

To find this, we need to understand the combination formula.

If we have n items and we want to choose r at a time, we use the formula:

[tex]nCr=\frac{n!}{(n-r)!*r!}[/tex]

Where n! means n(n-1)(n-2)....

So we want 9C3, plugging them into the formula and doing some arithmetic, we have:

[tex]nCr=\frac{n!}{(n-r)!*r!}\\9C3=\frac{9!}{(9-3)!*3!}\\=\frac{9!}{6!*3!}\\=\frac{9*8*7*6!}{6!*3*2*1}\\=\frac{9*8*7}{3*2*1}\\=84[/tex]

So, there can be 84 combinations possible.

A family earns $523 from the yard sale. They pay 45 in advertising fees. What is the family profit from yard sale?

Answers

Answer:

$478

Step-by-step explanation:

To calculate the profit, we have to subtract the expenses from the revenues.

P = Revenues - expenses

We know the family gained $523 from the yard sale.

We also know they had to pay $45 for advertising.

So, the net different is the profit for the family:

P = $523 - $45 = $478.

That was a very good yard sale!, I hope mine went that well.

528 -45 would be your answer

What’s the answer?
Solve.
And explain.

Answers

Answer:

$10 + ($55 * h)

Step-by-step explanation:

So we know from the question that the price automatically includes $10, add that at the beginning.

Then, we have to pay $55 per hour, h.

That means we have to multiply $55 by every hour; $55 * h.

That's how you get the expression!

Now you shall knoe da wae, my brudda.

a prism is a three..........shape with the same.........all the way through
Fill the gaps

Answers

Final answer:

A prism is a three-dimensional object that keeps the same cross-section throughout its length, such as a cylinder. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

Explanation:

A prism is a three-dimensional shape with the same cross-section all the way through. This means that if you were to cut the prism at any point along its length, the shape you would see would be the same. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

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Help!!!! I will appreciate it.

Answers

what's missing is, how many days she was on vacation

What set of reflections would carry triangle ABC onto itself?

Answers

d, 'y-axis, x-axis, y-axis, x-axis'

its the correct answer on the test :)) Goodluck !

The correct set of reflections that would carry triangle ABC onto itself is:

d. y-axis, x-axis, y-axis, x-axis

As per the shown graph, the coordinates of the vertices:

A(0,2)

B(2,4)

C(3,0)

We observe that the y-axis is the vertical line passing through x = 0, and the x-axis is the horizontal line passing through y = 0.

By analyzing the positions of the vertices, we can see that the triangle has rotational symmetry of 180 degrees around points (1, 2) and reflectional symmetry across both the x-axis and the y-axis.

Therefore, the correct set of reflections that would carry triangle ABC onto itself is:

d. y-axis, x-axis, y-axis, x-axis

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slope intercept form of 3x - 7y = 0​

Answers

Answer:

 y = 3/7 x

Step-by-step explanation:

Slope intercept form y = mx + b

In this case 3x - 7y = 0​

7y = 3x  

 y = 3/7 x (b = 0)

Answer:

y= 0- 3x over -7

Step-by-step explanation: Slope intercept form is Y= mx+ b

Hope this helps

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