8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x²+6x+16 as an example.

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

Slope

Any equation having slope greater than 2/3 has higher unit rate than that of table

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

Answer:

x =5.25

Step-by-step explanation:

Comment

So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.

Formula

x = 1.75 * 3

Solution

x = 1.75 *  3

x = 5.25

Answer: There are 24 frames of animation in 1 second of anime.

Step-by-step explanation:

There are 60 seconds in 1 minute, and 60 minutes in 1 hour. 60×60=3600, so there are 3600 seconds in 1 hour.

Since 3600 seconds and 1 hour is the same, there are 86400 frames of animation in 3600 seconds of anime. To find out how many frames are in one second of anime, divide 86400 by 3600.

86400 ÷ 3600 = 24

There are 24 frames of animation in 1 second of anime.

Answer: Juan

Step-by-step explanation:

Step 1: Find how many pages each person read.

ANA

15% of her 46 page book

Whenever you have something% OF something, you just turn the 'of' into a multiplication sign.

15% x 46

Next, turn 15% into a decimal. There are 3 ways to do this. (1. put a decimal point right before the number (2. move it 2 places to the right, (3. just divide by 100. Either way, 15% becomes 0.15

0.15x46= 6.9

Ana can read 6.9 pages in a day.

HILARY

11% of a 72 page book

Same method I used for Ana. turn "of" into multiplication, convert the percentage to a fraction by moving the point 2 places left, and multiply.

**11 is the same as 11.0, which becomes 0.11.**

11% x 72

0.11x72= 7.92

Hilary can read 7.92 pages in a day.

ROGER

12% of 68 pages

of becomes multiply

12% becomes 0.12 because 12 is the same as 12.0, and you move 12 2 places to the left.

now we have 0.12x68= 8.16

JUAN

14% of 69 pages

of becomes multiply, 14 is the same as 14.0, move it 2 places to the left and it becomes 0.14. boom.

0.14x69= 9.66

Juan can read 9.66 pages in a day.

Step 2: Line up all of the numbers and find the biggest one.

Ana: 6.9 pages per day

Hilary: 7.92 pages per day

Roger: 8.16 pages per day

Juan: 9.66 pages per day

9.66 is the greatest number.

Juan can read the most pages per day

Hope this helps :)

Answer:

75 ¢

Step-by-step explanation:

10 cents +6 dimes + 5 cents equals  75 cents   or   3/4 of a dollar

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

Answer:

C: 184 mm

Step-by-step explanation:

46*4 = 184

Answer: see below

Step-by-step explanation:

h represents the number of houses. How i know this:

(1) the question states that each house costs $0.75. So 0.75h means 0.75 times a number of houses.

(2) h is used because houses starts with h. Also, h can't represent bikes because the "bikes" only appears in 1 number and doesn't have anything per bike. It only appears once.

15 represents the initial price of bike rentals.

- It says in the question, "Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals". All of the information related to what 15 stands for is underlined. "Initial price" means a 1 time price that doesn't repeat. the 0.75 repeats based on how many houses you get.

0.75h represents the total cost for any number of houses.

(1) The question says "$0.75 per house" which means that each house costs 0.75. The h next to the 0.75 only means a number of houses. Whenever you see "something per something", expect the first letter of the 2nd word to be placed after the number.

If it doesn't make sense, let's say that h=1. In other words, we are buying 1 house. 0.75h means 0.75xh, so 0.75x1= 0.75. It's true. 1 house costs 0.75. You can also do 0.75x2, 0.75x3, and so on.

I hope i could help :)))

Answer:

Step-by-step explanation:

h= number of houses

0.75= cost per house

15= the initial price (price first paid)

Answer:

v=⅓×6×9=18cm² hope it helps

Answer:

The answer is 18

Step-by-step explanation:

If the volume of a pyramid is 1/3 of the value base times height, and we have the measurements of the base and the height, then we fill in the equation like this:

1/3 [6 x 9] = volume

1/3 [54] = volume

18 = volume

The volume is 18

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

Answer:

the second option from the top is correct. (the one with the dot on -4)

Step-by-step explanation:

d/-2 + 5 = 7

d/-2 = 7 - 5

d/-2 = 2

d = 2 * -2

d = -4

Answer:

Option 2, d = -4

Step-by-step explanation:

d/-2 + 5 = 7 (subtract 5 from both sides)

d/-2 = 2 (multiply by -2 to both sides)

d = -4

Option 2 is correct.

Brainliest, please :)

Answer:

c. 360 in^3

Step-by-step explanation:

1st you will want to round the decimals to the nearst whole number

2.7 is 3

and

9.8 is 10

2nd now that you rounded the decimal lengths you can multiply

12x3x10=360in^3

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈

Answer:

V=256 cm^3

Step-by-step explanation:

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

Answer:

use desmos

Step-by-step explanation:

just type it in for easiest answer

Answer: Vertex : Maximum (2, 0)

Rules:

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

Answer:

First for example let's say

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

20?

Step-by-step explanation:

edg.e

Answer:

Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.

Step-by-step explanation:

Set the equations equal

-2x-4=3x+3
     +4      +4

-2x=3x+7

-3x  -3x

-5x=7

/-5

x=-7/5

Plug x back into one of the equations

y=-2(-7/5)-4

y=-6/5

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow Final \:\:Value = 1\: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The statement can be represented as :

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{t}{3} [/tex]

[ for t = 12 ]

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{12}{3} [/tex]

[tex]\qquad \tt \rightarrow \: 5 - 4[/tex]

[tex]\qquad \tt \rightarrow \: 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

x = 6

Explanation:

scale factor × original dimension = dilated dimension

inserting values:

0.25 × x = 1.5

0.25x = 1.5

x = 1.5/0.25

x = 6

(i) Equation :  y = 6.25x + 65

(ii) Price of each ticket : $6.25

(iii) Money originally in the box : $65

Explanation:

Here from table, identify the coordinates given.

Coordinates:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{146.25-108.75}{13-7} = 6.25[/tex]

Slope is also the price of each ticket which is $6.25

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25(x - 7)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25x - 43.75[/tex]

[tex]\rightarrow \sf y = 6.25x - 43.75 + 108.75[/tex]

[tex]\rightarrow \sf y = 6.25x +65[/tex]

To find the amount of money in the box originally, insert x which represents number of tickets sold as 0.

Originally amount of money:

[tex]\rightarrow \sf y = 6.25(0) +65[/tex]

[tex]\rightarrow \sf y = 65[/tex]

Hence, there were $65 in the box before any tickets were sold.

Answer: -15.36, -1.44, 0.85, 4

Step-by-step explanation:

#1: -4.8x3.2= -15.36

#2: 2 1/4+ -1 2/5

2 1/4= 2.25

-1 2/5= -1.4

2.25+-1.4

*Whenever you have a +- something, it always becomes -

2.25 - 1.4= 0.85

#3: 4.32÷-3= -1.44

#4: -2 3/5 - -12/5

2 3/5= 2.6

-1 2/5= -1.4

2.6 - -1.4

*Whenever you have 2 minuses like - -, it always becomes a +.

So 2.6 - -1.4 becomes 2.6+1.4

2.6+1.4= 4

Okay so the numbers we have are:

-15.36, 0.85, -1.44, 4

The least number is the one farthest away from 0. This number would be -15.36, because, here's a rule to remember:

The "bigger" the negative number looks, the smaller it actualy is beacuse it is farther away from 0. For example, -29 is smaller than -1 even though it looks bigger because -29 is farther from 0. If it were positive numbers, 29 would definitely be greater though.So -15.36 is the smallest or the least.

Next, you see that -1.44 is the next in line because its the only remaining negative number and it has to be smaller than the others, which are positive.

3rd of all, i know that 0.85 comes next on the list because it is smaller than 4. It is still above 0, making it positive.

Finally, 4 is the greatest. It's bigger than 0.85, which obviously is less than 1.  Now here's the list of numbers from least--> greatest:

-15.36, -1.44, 0.85, 4

Now all you have to do is put these numbers into the boxes in order. If it doesn't make sense, try putting the first 2 numbers into the first 2 boxes. By doing this you get -15.36<-1.44, which is a true statment. If you want to go further, put 0.85 in the 3rd bubble to get -1.44<0.85 which is also true. Finally, when you put 4 in the last bubble, you get 0.85<4, which is true. That's how i know my answer is correct.

Hope this helps :))