Marking brainless (how ever u spell this)!

9514 1404 393

Answer:

  a) y = (x -4)² -4

  b) (4, -4)

  c) translated 4 right, 4 down

Step-by-step explanation:

a) Apparently "graphing form" is a reference to "vertex form." That form is ...

  y = a(x -h)² +k . . . . . . parabola with vertex (h, k) and vertical scale factor 'a'

The coefficient of x² in your given equation is 1, so a=1. The values of h and k can be found as follows.

'h' is the opposite of half the x-coefficient in your equation, so is h = -(-8/2) = 4. The value of k is the square of h, subtracted from the constant in your equation: k = 12 -h² = 12 -16 = -4. (This applies when a=1, as here.) These calculations are the "cut to the chase" version of "completing the square."

The method of "completing the square" has you consider the x-terms separately from the constant term:

  y = (x² -8x) +12

To "complete the square", you want to make the terms in parentheses be a perfect square trinomial. You do that by adding the square of half the x-coefficient. In order to keep the same equation, you need to subtract an equivalent amount outside parentheses:

  y = (x² -8x +(-8/2)²) +12 -(-8/2)² . . . . . add and subtract (-8/2)²

  y = (x -4)² +(12 -16)

Then the vertex form is ...

 y = (x -4)² -4 . . . . and the vertex is (h, k) = (4, -4).

The graphing calculator plot attached confirms this vertex value.

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The problem statement tells you that you can also find this form by averaging the x-intercepts. If you factor your equation, you get ...

  y = (x -6)(x -2)

The x-values that make these factors zero {6, 2} are the x-intercepts. Their average (6+2)/2 = 4 is the x-coordinate of the vertex (h). You can find the y-coordinate of the vertex by evaluating y when x=4: y = 4² -8·4 +12 = -4. So, the vertex by this method is (h, k) = (4, -4), and the equation in graphing form is ...

  y = (x -4)² -4 . . . . as above.

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b) As we saw above, the vertex coordinates are (h, k) = (4, -4).

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c) The vertical scale factor 'a' is 1, so the only transformation done on the graph is to move the parent vertex (0, 0) to the location (4, -4). That is, the graph has been translated 4 units right and 4 units down. (In the attached, the parent function is shown with a dashed line.)

Answer:

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Step-by-step explanation:

We need to  write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

The equation in slope-intercept form is : [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept for our equation.

In the question, we are given slope m = -6

Now, we need to find y-intercept.

Using slope m = -6 and the point (2,-4) we can find y-intercept

[tex]y=mx+b\\-4=-6(2)+b\\-4=-12+b\\b=12-4\\b=8[/tex]

So, we get y-intercept : b = 8

Now, the equation of line having slope m = -6 and y-intercept : b = 8 in slope-intercept form will be:

[tex]y=mx+b\\y=-6x+8[/tex]

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]2\sqrt{10}[/tex]

Step-by-step explanation:

Take [tex]a^{2} +b^{2} +c^{2}[/tex], let x represent a, 9 represent b, and 11 represent c.

Now, plug your variables into the equation:

[tex]x^{2} +9^{2} =11^{2}[/tex]

Simplify:

[tex]x^{2} +81=121[/tex]

Subtract:

[tex]x^{2} =40[/tex]

Take the square root of 40:

[tex]x=2\sqrt{10}[/tex]

Answer:

The answer is

[tex]y = 2x + 13[/tex]

Step-by-step explanation:

Remember:

[tex]Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept[/tex]

[tex]M = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

First: Find the slope.

[tex]M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2[/tex]

.

Second: Solve for the y-intercept

[tex]y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b} [/tex]

.

Third: Plug in.

[tex]y = mx + b \\ y = 2x + 13[/tex]

Answer:

Step-by-step explanation:

first put the inequality into slope intercept form (y-mx+b)

x-3y</=18

-3y</=-x+18

y>/=1/3x-6 (you have to flip the sign since you are dividing by a negative number)

then graph it (i attached a picture)

to figure out what side to shade in you can substitute the point (0,0) in for x and y. if it is true you shade in the part of the graph that includes (0,0).

0>/=1/3(0)-6

0>/=-6

First convert all th fractions into decimal :

3/7 =0.428

7/16=0.4375

0.43=remain same (already given in decimal form)

43.8%=0.438

now arrange them in one row (horizontally) then it will be easy to arrange it.

0.428 , 0.4375 , 0.43 ,0.438

=0.428 , 0.43, 0.4375 ,0.438

= ans) 3/7, 0.43, 7/16, 43.8%

Answer:

Step-by-step explanation:

Putting value of z = 3

6(3)2+ 2(3) + 10

6(9) + 6 + 10

54 + 16

70

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

the answer's 85

Step-by-step explanation:

pemdas ig

Step-by-step explanation:

I dont know I need help I have this answer in my test and I need help plz

Answer:

25

Step-by-step explanation:

Answer:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = 340

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

The explation of the answer is now given as follows:

Let a represents number of tickets sold in advance. Therefore, we have:

a = number of tickets sold in advance at $3 each

a + 30 = number of tickets sold  at the door at $5 each

The total amount collected can be represented by this equation:

3a + 5(a + 30) = 2630

Solving for a, wee have:

3a + 5a + 150 = 2630

8a = 2630 - 150

8a = 2,480

a = 2,480 / 8

a = 310

Therefore, this implies:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = a + 30 = 310 + 30 = 340

Step-by-step explanation:   2(x+4)(x-4)        is the factored form of 2x^2-32.

Answer:

2[(x+4)(x-4)]

Step-by-step explanation:

2x2-32

2(x2-16)

2(x2-4^2)

2[(x+4)(x-4)]

Answer:

the nswer is 37

Step-by-step explanation:

Answer:

It is c

Step-by-step explanation:

(y x 40) + (y x 8)

40y + 8y

48y

y x 48 = 48y

Answer:

if im right it should be 10

Step-by-step explanation:

because 3 can go into 30 ten times and the burgers cost 3 dollars

Answer:

a. the number of hamburgers they can buy if they buy no hotdogs

Step-by-step explanation:

The price is already present and the X-intercept has the same price as the Hamburgers

Hopefully this helps :)

Answer:

Step-by-step explanation:

-3 = -x - 2

the equation is a bit hard to read in your questions but if that is the correct equation then the slope is  -1

Answer:

1. 3

2. 3

5. 3

6. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. y = -17

2. x = 3

5. r = 3

6 y = 3

Answer:

.

Step-by-step explanation:

we are asked to write an expression that shows how to multiply 4 and 362 using place value ans expanded form. The expanded form of 362 is 300 + 60+ 2. IN this case, the expression is 4*(300 +60+ 2) that is we distribute 4 to the numbers inside that is 1200 + 240 + 8 equal to 1448

Answer:

x = 5

Answer:

[tex]3x + 2 = 17 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

Answer:

D

Step-by-step explanation:

ALL OF THE ABOVE they were selling weapons and most Americans were isolationist

Answer:

Step-by-step explanation: substitute 0 in for x for the y intercept

Answer:

-3/2

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

3-5/3-1

-3/2

Answer:55·

Step-by-step explanation:

Step-by-step explanation:

Since the sum of the digits must be an integer, the number itself must also be a multiple of 5.

Lowest common multiple of 5 and 9 = 45.

Therefore the number could be 45 or 90.

5(9 + 0) =/= 90, so 90 is incorrect.

Since 5(4 + 5) = 45, 45 is the answer.

Answer: 45

Step-by-step explanation:

We know that it has to be a 2-digit number. Its the multiple of 9. We see there is a number in the question. Five. I simply took 9 and multiplied it by 5 which gave me a total of 45.

Answer:

The First Graph (top left)

Step-by-step explanation:

bottom left: y = 3x

top right: y = 2x

bottom right: y = 3x

The top left is the only correct one

Answer:

lezgoooooooooooooooooo

Answer:

THANK U AHHAH

Step-by-step explanation: